Toniolo and Linder, Equation (3b), real

Time bar (total: 13.8s)

analyze225.0ms (1.6%)

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 20 to 14 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 134.0ms
ival-sin: 47.0ms (35.1% of total)
ival-pow: 37.0ms (27.7% of total)
ival-mult: 22.0ms (16.5% of total)
ival-sqrt: 12.0ms (9% of total)
ival-add: 8.0ms (6% of total)
ival-div: 6.0ms (4.5% of total)
const: 2.0ms (1.5% of total)
backward-pass: 1.0ms (0.7% of total)

sample1.7s (12.1%)

Results
1.4s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-sin: 585.0ms (54.7% of total)
ival-pow: 214.0ms (20% of total)
ival-add: 64.0ms (6% of total)
ival-mult: 64.0ms (6% of total)
ival-sqrt: 64.0ms (6% of total)
ival-div: 61.0ms (5.7% of total)
const: 14.0ms (1.3% of total)
backward-pass: 3.0ms (0.3% of total)
Bogosity

preprocess128.0ms (0.9%)

Algorithm
egg-herbie
Rules
2204×fnmadd-define
1936×fma-define
1234×sum3-define
1150×fmsub-define
1132×fnmsub-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046166
1104113
2232113
3420113
41025113
52827113
64704113
76184113
87067113
97216113
107327113
117359113
127359113
01316
11911
22711
32811
02811
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
Outputs
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
Call 2
Inputs
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
(* (/ (sin ky) (sqrt (+ (pow (sin (neg kx)) 2) (pow (sin ky) 2)))) (sin th))
(* (/ (sin (neg ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin (neg ky)) 2)))) (sin th))
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin (neg th)))
(neg (* (/ (sin ky) (sqrt (+ (pow (sin (neg kx)) 2) (pow (sin ky) 2)))) (sin th)))
(neg (* (/ (sin (neg ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin (neg ky)) 2)))) (sin th)))
(neg (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin (neg th))))
(* (/ (sin kx) (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin th))
(* (/ (sin ky) (sqrt (+ (pow (sin th) 2) (pow (sin ky) 2)))) (sin kx))
(* (/ (sin th) (sqrt (+ (pow (sin kx) 2) (pow (sin th) 2)))) (sin ky))
Outputs
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
(* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))
(* (/ (sin ky) (sqrt (+ (pow (sin (neg kx)) 2) (pow (sin ky) 2)))) (sin th))
(* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))
(* (/ (sin (neg ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin (neg ky)) 2)))) (sin th))
(* (/ (sin ky) (hypot (sin ky) (sin kx))) (neg (sin th)))
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin (neg th)))
(* (/ (sin ky) (hypot (sin ky) (sin kx))) (neg (sin th)))
(neg (* (/ (sin ky) (sqrt (+ (pow (sin (neg kx)) 2) (pow (sin ky) 2)))) (sin th)))
(* (/ (sin ky) (hypot (sin ky) (sin kx))) (neg (sin th)))
(neg (* (/ (sin (neg ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin (neg ky)) 2)))) (sin th)))
(* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))
(neg (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin (neg th))))
(* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))
(* (/ (sin kx) (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin th))
(/ (* (sin kx) (sin th)) (hypot (sin ky) (sin kx)))
(* (/ (sin ky) (sqrt (+ (pow (sin th) 2) (pow (sin ky) 2)))) (sin kx))
(/ (* (sin ky) (sin kx)) (hypot (sin ky) (sin th)))
(* (/ (sin th) (sqrt (+ (pow (sin kx) 2) (pow (sin th) 2)))) (sin ky))
(/ (* (sin ky) (sin th)) (hypot (sin kx) (sin th)))
Symmetry

(abs kx)

(negabs ky)

(negabs th)

explain165.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
160-1(1.0057846329568838e-167 1.4853309231627523e-158 1.707687571012698e-283)(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
00-0-kx
00-0-ky
00-0-(sin.f64 ky)
00-0-(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
00-0-#s(literal 2 binary64)
00-0-(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
00-0-th
044(7.274002874724676e-79 6.690394623577958e+162 2.4106331094977344e-95)0-(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
00-0-(sin.f64 th)
00-0-(sin.f64 kx)
00-0-(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
070(3.616839315651624e+240 4.003667141002677e-123 7.073867711573596e+279)0-(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
Results
101.0ms512×0valid
Compiler

Compiled 159 to 41 computations (74.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-sin: 38.0ms (55.9% of total)
ival-pow: 15.0ms (22.1% of total)
ival-sqrt: 5.0ms (7.4% of total)
ival-mult: 4.0ms (5.9% of total)
ival-div: 3.0ms (4.4% of total)
ival-add: 3.0ms (4.4% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 14 to 9 computations (35.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
93.8%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
99.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
Compiler

Compiled 33 to 22 computations (33.3% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 ky)
cost-diff12992
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
cost-diff12992
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
cost-diff12992
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
cost-diff0
(sin.f64 th)
cost-diff0
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
cost-diff0
(sin.f64 ky)
cost-diff0
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
Rules
16×*-lowering-*.f32
16×*-lowering-*.f64
*-commutative
sin-lowering-sin.f64
/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01984
12984
23384
03384
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
(sin ky)
ky
(/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
(sin th)
th
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
(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))))
(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
Outputs
(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin ky)
(sin.f64 ky)
ky
(/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin th)
(sin.f64 th)
th
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin kx)
(sin.f64 kx)
kx
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin ky)
(sin.f64 ky)
ky
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(+ (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)))
(pow (sin kx) 2)
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin kx)
(sin.f64 kx)
kx
2
#s(literal 2 binary64)
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin th)
(sin.f64 th)
th

localize104.0ms (0.8%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
accuracy99.6%
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
accuracy99.6%
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
accuracy94.2%
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
accuracy100.0%
(sin.f64 kx)
accuracy99.9%
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
accuracy99.7%
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
accuracy99.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
Results
68.0ms256×0valid
Compiler

Compiled 103 to 17 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-sin: 17.0ms (30.3% of total)
compiled-spec: 11.0ms (19.6% of total)
ival-div: 7.0ms (12.5% of total)
ival-mult: 7.0ms (12.5% of total)
ival-add: 5.0ms (8.9% of total)
ival-pow: 5.0ms (8.9% of total)
ival-sqrt: 4.0ms (7.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series37.0ms (0.3%)

Counts
11 → 240
Calls
Call 1
Inputs
#<alt (* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))>
#<alt (sin ky)>
#<alt (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))>
#<alt (sin th)>
#<alt (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))>
#<alt (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))>
#<alt (sin kx)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin kx) 2)>
Outputs
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))>
#<alt (* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ (sin th) (sin kx))>
#<alt (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (sin kx)))>
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ (sin th) (sin kx)))>
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (sin th) (sin kx)))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ (sin th) (sin ky))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky)))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt th>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ ky (sin kx))>
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (sin ky)>
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sin ky)>
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt kx>
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))>
#<alt (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))>
#<alt (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow kx 2)>
#<alt (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))>
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))>
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
Calls

60 calls:

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

rewrite235.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
1716×*-lowering-*.f32
1716×*-lowering-*.f64
1580×/-lowering-/.f32
1580×/-lowering-/.f64
1226×frac-times
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01962
110162
275862
0982362
Stop Event
iter limit
node limit
Counts
11 → 284
Calls
Call 1
Inputs
(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
(sin ky)
(/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
(sin 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))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
(sin kx)
(pow (sin ky) 2)
(pow (sin kx) 2)
Outputs
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (sin.f64 ky)))
(neg.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) (sin.f64 th)))
(neg.f64 (*.f64 (sin.f64 ky) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))))
(neg.f64 (*.f64 (sin.f64 th) (neg.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))))
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))))
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (-.f64 #s(literal 0 binary64) (sin.f64 th))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 th)) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 ky)) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 (*.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th))) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th)))) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(*.f64 (*.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 ky) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 th) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 ky) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 th) #s(literal -1 binary64)) (neg.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) #s(literal -1 binary64)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) #s(literal -1 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(exp.f64 (log.f64 (sin.f64 ky)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))
(sin.f64 ky)
(sin.f64 kx)
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)))
(pow.f64 (sin.f64 ky) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (sin.f64 ky) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 ky))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 th))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 th))))
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 th)))
(/.f64 #s(literal -1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (-.f64 #s(literal 0 binary64) (sin.f64 th))))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 th)) #s(literal -1 binary64))
(*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 th)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 th)) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 th)))
(sin.f64 th)
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)))
(*.f64 (sin.f64 th) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 th))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 th)))
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (sin.f64 ky)))
(neg.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) (sin.f64 th)))
(neg.f64 (*.f64 (sin.f64 ky) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))))
(neg.f64 (*.f64 (sin.f64 th) (neg.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))))
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))))
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (-.f64 #s(literal 0 binary64) (sin.f64 th))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 th)) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 ky)) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 (*.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th))) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th)))) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(*.f64 (*.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 ky) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 th) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 ky) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 th) #s(literal -1 binary64)) (neg.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) #s(literal -1 binary64)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) #s(literal -1 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 ky))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (sin.f64 ky)) (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) (neg.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))))
(neg.f64 (neg.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 ky))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 #s(literal -1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 ky)) #s(literal -1 binary64))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 (cos.f64 (-.f64 ky kx)) (cos.f64 (+.f64 ky kx))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 kx ky)) (cos.f64 (+.f64 kx ky))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64)) (*.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64)) (*.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64))))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 ky)))
(*.f64 (sin.f64 ky) (sin.f64 ky))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal -1/2 binary64))
(*.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))

simplify274.0ms (2%)

Algorithm
egg-herbie
Rules
5238×*-lowering-*.f32
5238×*-lowering-*.f64
1906×+-lowering-+.f64
1906×+-lowering-+.f32
1622×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04054445
114124111
258444111
081174111
Stop Event
iter limit
node limit
Counts
240 → 240
Calls
Call 1
Inputs
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ (sin th) (sin kx))
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (sin kx)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ (sin th) (sin kx)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (sin th) (sin kx)))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ (sin th) (sin ky))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky)))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ ky (sin kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
1
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow kx 2)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
Outputs
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/6 binary64)) (sin.f64 kx))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 ky (*.f64 ky (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/6 binary64)) (sin.f64 kx)) (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 ky (*.f64 ky (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal 1/120 binary64)) (sin.f64 kx)) (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal 1/12 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 ky (*.f64 ky (+.f64 (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/6 binary64)) (sin.f64 kx))) (*.f64 ky (*.f64 ky (+.f64 (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal 1/12 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (+.f64 (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))) (+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 kx) #s(literal -1/12 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/240 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/5040 binary64)) (sin.f64 kx)))))) (/.f64 (*.f64 (sin.f64 th) #s(literal 1/120 binary64)) (sin.f64 kx)))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (sin.f64 ky)))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) (sin.f64 ky)) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 th th)) (sin.f64 ky)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(*.f64 th (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) (sin.f64 ky)) (sin.f64 ky))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 th th)) (sin.f64 ky)) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))) (*.f64 (*.f64 th th) (*.f64 th th)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+.f64 (sin.f64 th) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+.f64 (sin.f64 th) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.f64 kx kx) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(+.f64 (sin.f64 th) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 th) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal 1/120 binary64)))))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/5040 binary64)))))))))
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(*.f64 th (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(*.f64 th (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))
(*.f64 th (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 th th)))) (*.f64 (*.f64 th th) (*.f64 th th)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/ (sin th) (sin kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (sin kx)))
(+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky (sin.f64 th)))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ (sin th) (sin kx)))
(+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (*.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (sin th) (sin kx)))
(+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (*.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky)))
(+.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky)))
(+.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 kx (*.f64 kx (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (*.f64 (*.f64 kx kx) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky)))
(+.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 kx (*.f64 kx (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th)))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 th th) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 th th))))))))
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/6 binary64)) (sin.f64 kx))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 ky (*.f64 ky (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/6 binary64)) (sin.f64 kx)) (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 ky (*.f64 ky (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal 1/120 binary64)) (sin.f64 kx)) (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal 1/12 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 ky (*.f64 ky (+.f64 (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/6 binary64)) (sin.f64 kx))) (*.f64 ky (*.f64 ky (+.f64 (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal 1/12 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (+.f64 (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))) (+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 kx) #s(literal -1/12 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/240 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/5040 binary64)) (sin.f64 kx)))))) (/.f64 (*.f64 (sin.f64 th) #s(literal 1/120 binary64)) (sin.f64 kx)))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+.f64 (sin.f64 th) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+.f64 (sin.f64 th) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.f64 kx kx) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(+.f64 (sin.f64 th) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 th) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (sin.f64 ky)))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) (sin.f64 ky)) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 th th)) (sin.f64 ky)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(*.f64 th (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) (sin.f64 ky)) (sin.f64 ky))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 th th)) (sin.f64 ky)) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))) (*.f64 (*.f64 th th) (*.f64 th th)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(*.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky (*.f64 ky (-.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (*.f64 (sin.f64 kx) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(*.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (-.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (*.f64 (sin.f64 kx) #s(literal 1/2 binary64))) (*.f64 ky (*.f64 ky (+.f64 (*.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))) (*.f64 (sin.f64 kx) #s(literal -1/2 binary64))) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (*.f64 (sin.f64 kx) #s(literal -1/12 binary64))) (+.f64 (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))))))))) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (*.f64 kx (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx))))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+.f64 (sin.f64 ky) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky)))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
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(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (*.f64 kx (*.f64 kx (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (*.f64 kx (*.f64 kx (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 ky)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 ky)))))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin kx)
(sin.f64 kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+.f64 (sin.f64 kx) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
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(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin kx)
(sin.f64 kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+.f64 (sin.f64 kx) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 kx)))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+.f64 (sin.f64 ky) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky)))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky)) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (*.f64 kx (*.f64 kx (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (*.f64 kx (*.f64 kx (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 ky)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 ky)))))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx))))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))))))
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(pow ky 2)
(*.f64 ky ky)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(*.f64 ky (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/3 binary64)))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(*.f64 ky (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (*.f64 ky (*.f64 ky #s(literal 2/45 binary64))))))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/315 binary64)))))))))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow kx 2)
(*.f64 kx kx)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/3 binary64))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 kx kx))))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
(*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal 2/45 binary64) (*.f64 kx (*.f64 kx #s(literal -1/315 binary64))))))))))
(pow (sin kx) 2)
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(pow (sin kx) 2)
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(pow (sin kx) 2)
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(pow (sin kx) 2)
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(pow (sin kx) 2)
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(pow (sin kx) 2)
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(pow (sin kx) 2)
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(pow (sin kx) 2)
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))

eval121.0ms (0.9%)

Compiler

Compiled 14023 to 1585 computations (88.7% saved)

prune74.0ms (0.5%)

Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New62121642
Fresh000
Picked112
Done000
Total62222644
Accuracy
100.0%
Counts
644 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.2%
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
78.3%
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
99.7%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
45.2%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) th)
32.0%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
69.6%
(*.f64 (/.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
29.4%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
26.5%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
90.3%
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
93.4%
(*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th))
41.8%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (sin.f64 ky)))
48.9%
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
78.4%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sin.f64 kx))))
99.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
57.0%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
57.4%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
33.8%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
32.0%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
49.1%
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
93.4%
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
74.8%
(*.f64 (exp.f64 (log.f64 (sin.f64 ky))) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
33.9%
(sin.f64 th)
Compiler

Compiled 662 to 461 computations (30.4% saved)

simplify89.0ms (0.6%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 ky)
cost-diff64
(pow.f64 (sin.f64 ky) #s(literal 1/2 binary64))
cost-diff12928
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64))
cost-diff12928
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
cost-diff0
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th)))
cost-diff0
(/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
cost-diff0
(sin.f64 ky)
cost-diff0
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
cost-diff0
(sin.f64 kx)
cost-diff0
(sin.f64 ky)
cost-diff0
(/.f64 (sin.f64 ky) (sin.f64 kx))
cost-diff0
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
cost-diff0
(sin.f64 th)
cost-diff0
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
cost-diff0
(sin.f64 ky)
cost-diff0
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
cost-diff0
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
Rules
1696×fma-define
1454×*-lowering-*.f32
1454×*-lowering-*.f64
622×fma-lowering-fma.f32
622×fma-lowering-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030169
165165
2117165
3265159
4554159
51056159
61545159
72205159
82567159
92695159
102715159
112715159
122852159
132900159
142900159
02900159
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th))
(/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))
(sin ky)
ky
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
(sin kx)
kx
(sin th)
th
(sin th)
th
(* (/ (sin ky) (sin kx)) (sin th))
(/ (sin ky) (sin kx))
(sin ky)
ky
(sin kx)
kx
(sin th)
th
(* (sin ky) (/ (* th (+ 1 (* (* -1/6 th) th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
(sin ky)
ky
(/ (* th (+ 1 (* (* -1/6 th) th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
(* th (+ 1 (* (* -1/6 th) th)))
th
(+ 1 (* (* -1/6 th) th))
1
(* (* -1/6 th) th)
(* -1/6 th)
-1/6
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
(sin kx)
kx
(* (pow (pow (sin ky) 1/2) 2) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
(pow (pow (sin ky) 1/2) 2)
(pow (sin ky) 1/2)
(sin ky)
ky
1/2
2
(/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
(sin th)
th
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
(sin kx)
kx
Outputs
(* (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin ky)
(sin.f64 ky)
ky
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin kx)
(sin.f64 kx)
kx
(sin th)
(sin.f64 th)
th
(sin th)
(sin.f64 th)
th
(* (/ (sin ky) (sin kx)) (sin th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(sin ky)
(sin.f64 ky)
ky
(sin kx)
(sin.f64 kx)
kx
(sin th)
(sin.f64 th)
th
(* (sin ky) (/ (* th (+ 1 (* (* -1/6 th) th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
(/.f64 (*.f64 th (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin ky)
(sin.f64 ky)
ky
(/ (* th (+ 1 (* (* -1/6 th) th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(* th (+ 1 (* (* -1/6 th) th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))
th
(+ 1 (* (* -1/6 th) th))
(+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))
1
#s(literal 1 binary64)
(* (* -1/6 th) th)
(*.f64 th (*.f64 th #s(literal -1/6 binary64)))
(* -1/6 th)
(*.f64 th #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin kx)
(sin.f64 kx)
kx
(* (pow (pow (sin ky) 1/2) 2) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(pow (pow (sin ky) 1/2) 2)
(sin.f64 ky)
(pow (sin ky) 1/2)
(sqrt.f64 (sin.f64 ky))
(sin ky)
(sin.f64 ky)
ky
1/2
#s(literal 1/2 binary64)
2
#s(literal 2 binary64)
(/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin th)
(sin.f64 th)
th
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin kx)
(sin.f64 kx)
kx

localize163.0ms (1.2%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
accuracy99.7%
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
accuracy99.7%
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
accuracy99.4%
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64))
accuracy99.8%
(/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
accuracy99.8%
(*.f64 (*.f64 #s(literal -1/6 binary64) th) th)
accuracy99.6%
(*.f64 #s(literal -1/6 binary64) th)
accuracy95.8%
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
accuracy100.0%
(sin.f64 ky)
accuracy100.0%
(sin.f64 kx)
accuracy99.8%
(/.f64 (sin.f64 ky) (sin.f64 kx))
accuracy99.7%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
accuracy100.0%
(sin.f64 th)
accuracy100.0%
(sin.f64 kx)
accuracy100.0%
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
accuracy99.8%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
accuracy99.8%
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
Results
94.0ms202×0valid
21.0ms54×0invalid
Compiler

Compiled 182 to 27 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-sin: 21.0ms (23.7% of total)
ival-mult: 18.0ms (20.3% of total)
compiled-spec: 15.0ms (16.9% of total)
ival-pow: 12.0ms (13.6% of total)
ival-div: 7.0ms (7.9% of total)
ival-add: 6.0ms (6.8% of total)
ival-sqrt: 4.0ms (4.5% of total)
...c/correct-round.rkt:119:19: 4.0ms (4.5% of total)
const: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series56.0ms (0.4%)

Counts
18 → 408
Calls
Call 1
Inputs
#<alt (* (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th))>
#<alt (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))>
#<alt (sin ky)>
#<alt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))>
#<alt (sin th)>
#<alt (* (/ (sin ky) (sin kx)) (sin th))>
#<alt (/ (sin ky) (sin kx))>
#<alt (sin kx)>
#<alt (* (sin ky) (/ (* th (+ 1 (* (* -1/6 th) th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))>
#<alt (/ (* th (+ 1 (* (* -1/6 th) th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))>
#<alt (* th (+ 1 (* (* -1/6 th) th)))>
#<alt (* (pow (pow (sin ky) 1/2) 2) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))>
#<alt (pow (pow (sin ky) 1/2) 2)>
#<alt (pow (sin ky) 1/2)>
#<alt (* -1/6 th)>
#<alt (* (* -1/6 th) th)>
#<alt (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))>
#<alt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))>
Outputs
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ ky (sin kx))>
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt th>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* 1/120 (/ (* (pow ky 2) (sin th)) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) (sin kx))) (* 1/120 (/ (sin th) (sin kx))))))) (/ (sin th) (sin kx))))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) kx)>
#<alt (/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)>
#<alt (/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)>
#<alt (/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* (sin ky) (sin th))) (+ (* 1/720 (* (sin ky) (sin th))) (* 1/6 (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th))))))))) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* th (sin ky)) (sin kx))>
#<alt (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sin kx))) (/ (sin ky) (sin kx))))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sin kx))))) (/ (sin ky) (sin kx))))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sin kx))) (* 1/120 (/ (sin ky) (sin kx))))))) (/ (sin ky) (sin kx))))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (* ky (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* 1/120 (/ (pow ky 2) (sin kx))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/5040 (/ (pow ky 2) (sin kx))) (* 1/120 (/ 1 (sin kx))))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) kx)>
#<alt (/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx)>
#<alt (/ (+ (sin ky) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx)>
#<alt (/ (+ (sin ky) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (sin ky)) (+ (* 1/720 (sin ky)) (* 1/6 (+ (* -1/36 (sin ky)) (* 1/120 (sin ky)))))))) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx)>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt kx>
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))>
#<alt (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))>
#<alt (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (/ (* ky (* th (+ 1 (* -1/6 (pow th 2))))) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (+ (* -1/12 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (+ (* -1/240 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/5040 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))>
#<alt (* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin ky) 2))) (* th (+ 1 (* -1/6 (pow th 2)))))>
#<alt (+ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (+ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))) (* 1/2 (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))>
#<alt (* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))>
#<alt (* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))>
#<alt (* -1/6 (* (pow th 3) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))>
#<alt (* (pow th 3) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* (pow th 3) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* (pow th 3) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* -1/6 (* (pow th 3) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))>
#<alt (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))>
#<alt (+ (* -1/2 (/ (* (pow ky 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin kx) 3))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))>
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))>
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))))) (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))>
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin ky))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin ky) 3))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin ky)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* th (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin ky)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))) (* 1/2 (* th (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin ky)))>
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt th>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* -1/6 (pow th 3))>
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))>
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))>
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sqrt ky)>
#<alt (+ (sqrt ky) (* -1/12 (sqrt (pow ky 5))))>
#<alt (+ (sqrt ky) (* (pow ky 3) (+ (* -1/12 (sqrt (/ 1 ky))) (* 1/240 (sqrt (pow ky 3))))))>
#<alt (+ (sqrt ky) (* (pow ky 3) (+ (* -1/12 (sqrt (/ 1 ky))) (* (pow ky 2) (+ (* -1/288 (sqrt (/ 1 ky))) (* 1/240 (sqrt (/ 1 ky))))))))>
#<alt (sqrt (sin ky))>
#<alt (sqrt (sin ky))>
#<alt (sqrt (sin ky))>
#<alt (sqrt (sin ky))>
#<alt (sqrt (sin ky))>
#<alt (sqrt (sin ky))>
#<alt (sqrt (sin ky))>
#<alt (sqrt (sin ky))>
#<alt (* -1/6 th)>
#<alt (* -1/6 th)>
#<alt (* -1/6 th)>
#<alt (* -1/6 th)>
#<alt (* -1/6 th)>
#<alt (* -1/6 th)>
#<alt (* -1/6 th)>
#<alt (* -1/6 th)>
#<alt (* -1/6 th)>
#<alt (* -1/6 th)>
#<alt (* -1/6 th)>
#<alt (* -1/6 th)>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))>
#<alt (* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ (sin th) (sin kx))>
#<alt (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (sin kx)))>
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ (sin th) (sin kx)))>
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (sin th) (sin kx)))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ (sin th) (sin ky))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky)))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sin ky)>
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
Calls

102 calls:

TimeVariablePointExpression
19.0ms
ky
@inf
(* (sin ky) (/ (* th (+ 1 (* (* -1/6 th) th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
7.0ms
ky
@inf
(/ (* th (+ 1 (* (* -1/6 th) th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
3.0ms
ky
@0
(* (sin ky) (/ (* th (+ 1 (* (* -1/6 th) th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
1.0ms
th
@inf
(* (sin ky) (/ (* th (+ 1 (* (* -1/6 th) th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
1.0ms
th
@0
(* (sin ky) (/ (* th (+ 1 (* (* -1/6 th) th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))

rewrite552.0ms (4%)

Algorithm
batch-egg-rewrite
Rules
4422×/-lowering-/.f32
4422×/-lowering-/.f64
4206×*-lowering-*.f32
4206×*-lowering-*.f64
1598×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030122
1165119
21145113
08446113
Stop Event
iter limit
node limit
Counts
18 → 550
Calls
Call 1
Inputs
(* (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th))
(/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))
(sin ky)
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
(sin th)
(* (/ (sin ky) (sin kx)) (sin th))
(/ (sin ky) (sin kx))
(sin kx)
(* (sin ky) (/ (* th (+ 1 (* (* -1/6 th) th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
(/ (* th (+ 1 (* (* -1/6 th) th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
(* th (+ 1 (* (* -1/6 th) th)))
(* (pow (pow (sin ky) 1/2) 2) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
(pow (pow (sin ky) 1/2) 2)
(pow (sin ky) 1/2)
(* -1/6 th)
(* (* -1/6 th) th)
(/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
Outputs
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (*.f64 (sin.f64 th) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (*.f64 (sin.f64 ky) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (*.f64 #s(literal 1 binary64) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (*.f64 #s(literal 1 binary64) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th))) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (sin.f64 th)) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky)) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))) (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64))) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))) (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 th))) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (sin.f64 th))) (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) #s(literal 1 binary64))) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 ky))) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th)))) (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky))) (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (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 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 ky) (pow.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sin.f64 th) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) #s(literal -1 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) #s(literal 1/4 binary64))) (/.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (sin.f64 th)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) #s(literal 1/4 binary64))))
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(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) #s(literal 4 binary64)))) (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) #s(literal 4 binary64)))) (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) #s(literal 4 binary64)))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))))) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))))) #s(literal 1/2 binary64))
(*.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) #s(literal 4 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) #s(literal 4 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) #s(literal 4 binary64))))))
(*.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) #s(literal 4 binary64))))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) #s(literal 1/4 binary64)))

simplify423.0ms (3.1%)

Algorithm
egg-herbie
Rules
5848×*-lowering-*.f32
5848×*-lowering-*.f64
4724×+-lowering-+.f64
4724×+-lowering-+.f32
1916×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06508007
123517245
272607238
080287238
Stop Event
iter limit
node limit
Counts
408 → 408
Calls
Call 1
Inputs
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ ky (sin kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
1
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* 1/120 (/ (* (pow ky 2) (sin th)) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) (sin kx))) (* 1/120 (/ (sin th) (sin kx))))))) (/ (sin th) (sin kx))))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) kx)
(/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* (sin ky) (sin th))) (+ (* 1/720 (* (sin ky) (sin th))) (* 1/6 (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th))))))))) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* th (sin ky)) (sin kx))
(* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sin kx))) (/ (sin ky) (sin kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sin kx))))) (/ (sin ky) (sin kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sin kx))) (* 1/120 (/ (sin ky) (sin kx))))))) (/ (sin ky) (sin kx))))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ ky (sin kx))
(* ky (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* 1/120 (/ (pow ky 2) (sin kx))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/5040 (/ (pow ky 2) (sin kx))) (* 1/120 (/ 1 (sin kx))))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) kx)
(/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx)
(/ (+ (sin ky) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx)
(/ (+ (sin ky) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (sin ky)) (+ (* 1/720 (sin ky)) (* 1/6 (+ (* -1/36 (sin ky)) (* 1/120 (sin ky)))))))) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx)
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(/ (* ky (* th (+ 1 (* -1/6 (pow th 2))))) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (+ (* -1/12 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (+ (* -1/240 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/5040 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* th (+ 1 (* -1/6 (pow th 2))))
(+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin ky) 2))) (* th (+ 1 (* -1/6 (pow th 2)))))
(+ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(+ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))) (* 1/2 (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* -1/6 (* (pow th 3) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* (pow th 3) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* (pow th 3) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* (pow th 3) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* -1/6 (* (pow th 3) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))
(+ (* -1/2 (/ (* (pow ky 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin kx) 3))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))))) (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin ky))
(+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin ky) 3))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* th (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))) (* 1/2 (* th (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin ky)))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* -1/6 (pow th 2))))
(* -1/6 (pow th 3))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* -1/6 (pow th 3))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sqrt ky)
(+ (sqrt ky) (* -1/12 (sqrt (pow ky 5))))
(+ (sqrt ky) (* (pow ky 3) (+ (* -1/12 (sqrt (/ 1 ky))) (* 1/240 (sqrt (pow ky 3))))))
(+ (sqrt ky) (* (pow ky 3) (+ (* -1/12 (sqrt (/ 1 ky))) (* (pow ky 2) (+ (* -1/288 (sqrt (/ 1 ky))) (* 1/240 (sqrt (/ 1 ky))))))))
(sqrt (sin ky))
(sqrt (sin ky))
(sqrt (sin ky))
(sqrt (sin ky))
(sqrt (sin ky))
(sqrt (sin ky))
(sqrt (sin ky))
(sqrt (sin ky))
(* -1/6 th)
(* -1/6 th)
(* -1/6 th)
(* -1/6 th)
(* -1/6 th)
(* -1/6 th)
(* -1/6 th)
(* -1/6 th)
(* -1/6 th)
(* -1/6 th)
(* -1/6 th)
(* -1/6 th)
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ (sin th) (sin kx))
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (sin kx)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ (sin th) (sin kx)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (sin th) (sin kx)))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ (sin th) (sin ky))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky)))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
Outputs
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)) (+.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))))))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))))) (+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) #s(literal -1/12 binary64)) (+.f64 (/.f64 (*.f64 #s(literal -1/240 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (sin.f64 kx))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+.f64 (sin.f64 th) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(+.f64 (sin.f64 th) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (sin.f64 ky)))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (*.f64 th th) (+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(*.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (-.f64 (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(*.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (-.f64 (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(*.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))) (-.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (+.f64 (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))))))) (-.f64 (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal 1/120 binary64))))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/5040 binary64))))))))
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+.f64 (sin.f64 ky) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky)))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 kx kx) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 ky)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 ky)))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin kx)
(sin.f64 kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+.f64 (sin.f64 kx) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx)))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (/.f64 (*.f64 ky ky) (sin.f64 kx)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 kx)))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 th th))))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 th th) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 th th))))))))
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx))))
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (sin.f64 kx)))))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* 1/120 (/ (* (pow ky 2) (sin th)) (sin kx))))) (/ (sin th) (sin kx))))
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)) (*.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (sin.f64 kx)))))))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) (sin kx))) (* 1/120 (/ (sin th) (sin kx))))))) (/ (sin th) (sin kx))))
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)) (*.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (sin.f64 kx)))))))))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) kx)
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)
(/.f64 (+.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 (*.f64 kx kx) (-.f64 (*.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (sin.f64 th)) (*.f64 (*.f64 kx kx) (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) #s(literal -7/360 binary64))))))) kx)
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* (sin ky) (sin th))) (+ (* 1/720 (* (sin ky) (sin th))) (* 1/6 (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th))))))))) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)
(/.f64 (+.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (-.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 7/360 binary64)) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) #s(literal -7/360 binary64)))) (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) #s(literal 1/840 binary64))))))) (*.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (sin.f64 th))))) kx)
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* th (sin ky)) (sin kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sin kx))) (/ (sin ky) (sin kx))))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 th th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sin kx))))) (/ (sin ky) (sin kx))))
(*.f64 th (+.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (*.f64 th th) (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sin.f64 kx)) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) (/.f64 (sin.f64 ky) (sin.f64 kx))))))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sin kx))) (* 1/120 (/ (sin ky) (sin kx))))))) (/ (sin ky) (sin kx))))
(*.f64 th (+.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (*.f64 th th) (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sin.f64 kx)) (*.f64 (*.f64 th th) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 th th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)) (sin.f64 kx))))))))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
(* ky (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx))))
(*.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) (sin.f64 kx))))
(* ky (+ (* (pow ky 2) (- (* 1/120 (/ (pow ky 2) (sin kx))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))
(*.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (/.f64 (*.f64 (*.f64 ky ky) #s(literal 1/120 binary64)) (sin.f64 kx))))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/5040 (/ (pow ky 2) (sin kx))) (* 1/120 (/ 1 (sin kx))))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))
(*.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (/.f64 (*.f64 (*.f64 ky ky) #s(literal -1/5040 binary64)) (sin.f64 kx)))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx))))))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) kx)
(/.f64 (sin.f64 ky) kx)
(/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx)
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx)
(/ (+ (sin ky) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx)
(/.f64 (+.f64 (sin.f64 ky) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (*.f64 (sin.f64 ky) #s(literal 7/360 binary64))) (*.f64 (sin.f64 ky) #s(literal 1/6 binary64))))) kx)
(/ (+ (sin ky) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (sin ky)) (+ (* 1/720 (sin ky)) (* 1/6 (+ (* -1/36 (sin ky)) (* 1/120 (sin ky)))))))) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx)
(/.f64 (+.f64 (sin.f64 ky) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (-.f64 (*.f64 (sin.f64 ky) #s(literal 7/360 binary64)) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) #s(literal -7/360 binary64))) (*.f64 (sin.f64 ky) #s(literal 1/840 binary64)))))) (*.f64 (sin.f64 ky) #s(literal 1/6 binary64))))) kx)
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx))))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))))))
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(/ (* ky (* th (+ 1 (* -1/6 (pow th 2))))) (sin kx))
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))
(*.f64 ky (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))
(*.f64 ky (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx)))) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 th (sin.f64 kx)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))))))))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (+ (* -1/12 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (+ (* -1/240 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/5040 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))
(*.f64 ky (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))))) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx)))) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 th (sin.f64 kx)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) th) (*.f64 (*.f64 (sin.f64 kx) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 th (sin.f64 kx)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))) (+.f64 (*.f64 #s(literal -1/240 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 #s(literal -1/5040 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))))))))))))))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (sin.f64 ky)))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))) (sin.f64 ky))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))) (sin.f64 ky))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))) (sin.f64 ky))))
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th (*.f64 th th)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(*.f64 (*.f64 th (*.f64 th th)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (/.f64 (sin.f64 ky) (*.f64 th th)))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(*.f64 (*.f64 th (*.f64 th th)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (/.f64 (sin.f64 ky) (*.f64 th th)))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
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(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin ky))
(*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky)))
(+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin ky) 3))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin ky)))
(+.f64 (*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 kx kx) th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* th (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin ky)))
(+.f64 (*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 kx kx) th) (*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))) (* 1/2 (* th (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin ky)))
(+.f64 (*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 kx kx) th) (*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))))) (*.f64 (*.f64 #s(literal 1/2 binary64) th) (*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(* th (+ 1 (* -1/6 (pow th 2))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(* th (+ 1 (* -1/6 (pow th 2))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(* -1/6 (pow th 3))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(* -1/6 (pow th 3))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(*.f64 (*.f64 th (*.f64 th th)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 th th)))))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(*.f64 (*.f64 th (*.f64 th th)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 th th)))))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(*.f64 (*.f64 th (*.f64 th th)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 th th)))))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)) (+.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))))))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))))) (+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) #s(literal -1/12 binary64)) (+.f64 (/.f64 (*.f64 #s(literal -1/240 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (sin.f64 kx))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (sin.f64 ky)))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (*.f64 th th) (+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+.f64 (sin.f64 th) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(+.f64 (sin.f64 th) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal 1/120 binary64))))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/5040 binary64))))))))
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sqrt ky)
(sqrt.f64 ky)
(+ (sqrt ky) (* -1/12 (sqrt (pow ky 5))))
(+.f64 (sqrt.f64 ky) (*.f64 #s(literal -1/12 binary64) (sqrt.f64 (pow.f64 ky #s(literal 5 binary64)))))
(+ (sqrt ky) (* (pow ky 3) (+ (* -1/12 (sqrt (/ 1 ky))) (* 1/240 (sqrt (pow ky 3))))))
(+.f64 (sqrt.f64 ky) (*.f64 (*.f64 ky (*.f64 ky ky)) (+.f64 (*.f64 #s(literal -1/12 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) ky))) (*.f64 #s(literal 1/240 binary64) (sqrt.f64 (*.f64 ky (*.f64 ky ky)))))))
(+ (sqrt ky) (* (pow ky 3) (+ (* -1/12 (sqrt (/ 1 ky))) (* (pow ky 2) (+ (* -1/288 (sqrt (/ 1 ky))) (* 1/240 (sqrt (/ 1 ky))))))))
(+.f64 (sqrt.f64 ky) (*.f64 (*.f64 ky (*.f64 ky ky)) (+.f64 (*.f64 #s(literal -1/12 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) ky))) (*.f64 (*.f64 ky ky) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) ky)) #s(literal 1/1440 binary64))))))
(sqrt (sin ky))
(sqrt.f64 (sin.f64 ky))
(sqrt (sin ky))
(sqrt.f64 (sin.f64 ky))
(sqrt (sin ky))
(sqrt.f64 (sin.f64 ky))
(sqrt (sin ky))
(sqrt.f64 (sin.f64 ky))
(sqrt (sin ky))
(sqrt.f64 (sin.f64 ky))
(sqrt (sin ky))
(sqrt.f64 (sin.f64 ky))
(sqrt (sin ky))
(sqrt.f64 (sin.f64 ky))
(sqrt (sin ky))
(sqrt.f64 (sin.f64 ky))
(* -1/6 th)
(*.f64 th #s(literal -1/6 binary64))
(* -1/6 th)
(*.f64 th #s(literal -1/6 binary64))
(* -1/6 th)
(*.f64 th #s(literal -1/6 binary64))
(* -1/6 th)
(*.f64 th #s(literal -1/6 binary64))
(* -1/6 th)
(*.f64 th #s(literal -1/6 binary64))
(* -1/6 th)
(*.f64 th #s(literal -1/6 binary64))
(* -1/6 th)
(*.f64 th #s(literal -1/6 binary64))
(* -1/6 th)
(*.f64 th #s(literal -1/6 binary64))
(* -1/6 th)
(*.f64 th #s(literal -1/6 binary64))
(* -1/6 th)
(*.f64 th #s(literal -1/6 binary64))
(* -1/6 th)
(*.f64 th #s(literal -1/6 binary64))
(* -1/6 th)
(*.f64 th #s(literal -1/6 binary64))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(*.f64 th (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 th th)))))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))
(*.f64 th (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (*.f64 th th) (+.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 th th)))))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/ (sin th) (sin kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (sin kx)))
(+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ (sin th) (sin kx)))
(+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (sin th) (sin kx)))
(+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))))))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky)))
(+.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky)))
(+.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky)))
(+.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(sin kx)
(sin.f64 kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+.f64 (sin.f64 kx) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx)))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (/.f64 (*.f64 ky ky) (sin.f64 kx)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 kx)))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+.f64 (sin.f64 ky) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky)))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 kx kx) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 ky)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 ky)))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))

eval184.0ms (1.3%)

Compiler

Compiled 31253 to 2575 computations (91.8% saved)

prune209.0ms (1.5%)

Pruning

51 alts after pruning (47 fresh and 4 done)

PrunedKeptTotal
New1272401312
Fresh9716
Picked235
Done011
Total1283511334
Accuracy
100.0%
Counts
1334 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.6%
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 kx)))
11.7%
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
93.5%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
17.3%
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
26.2%
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
99.7%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
31.9%
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
99.5%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
42.2%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (*.f64 (sin.f64 ky) th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
92.8%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
31.5%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))
28.5%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
30.1%
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)))
30.0%
(*.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (sin.f64 kx)) (sin.f64 th))
14.9%
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
28.9%
(*.f64 (/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
15.7%
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) (sin.f64 kx)) (sin.f64 th))
99.5%
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
99.7%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
49.2%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
57.5%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
57.0%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
75.3%
(*.f64 (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))))))) (sin.f64 th))
75.5%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))))) (sin.f64 th))
32.0%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
21.2%
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
31.8%
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th))
28.6%
(*.f64 (/.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 kx)) (sin.f64 th))
29.4%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
31.9%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
28.7%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
26.5%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
28.7%
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
42.7%
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
32.3%
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) kx)))
29.9%
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 ky (sin.f64 kx))))
35.8%
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))))))))
35.9%
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))))))
15.5%
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 ky)))
19.9%
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 kx)))
99.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
57.4%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
33.8%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
32.0%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
49.1%
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
31.9%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
15.5%
(*.f64 (sin.f64 ky) (*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))))
15.5%
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
18.7%
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))))
33.9%
(sin.f64 th)
15.9%
th
Compiler

Compiled 1562 to 1112 computations (28.8% saved)

simplify218.0ms (1.6%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
cost-diff0
(sin.f64 ky)
cost-diff0
(*.f64 (sin.f64 ky) th)
cost-diff0
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
cost-diff0
(*.f64 #s(literal -1/2 binary64) (*.f64 kx kx))
cost-diff0
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
cost-diff0
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64))
cost-diff0
(*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky))
cost-diff128
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx)
cost-diff128
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
cost-diff0
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
cost-diff0
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
cost-diff0
(sin.f64 th)
cost-diff0
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
Rules
5100×*-lowering-*.f32
5100×*-lowering-*.f64
2272×/-lowering-/.f32
2272×/-lowering-/.f64
2234×fma-define
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
034214
170209
2160209
3398209
41171207
51829203
62427201
73303201
83670201
94089201
104544201
114688201
124756201
136936201
08183201
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)))
(sin th)
th
(/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
(sin ky)
ky
(sin kx)
kx
th
(* (/ (* (+ (* 1/6 (* kx kx)) 1) (sin ky)) kx) (sin th))
(/ (* (+ (* 1/6 (* kx kx)) 1) (sin ky)) kx)
(* (+ (* 1/6 (* kx kx)) 1) (sin ky))
(+ (* 1/6 (* kx kx)) 1)
(* 1/6 (* kx kx))
1/6
(* kx kx)
kx
1
(sin ky)
ky
(sin th)
th
(* (+ 1 (/ (* -1/2 (* kx kx)) (pow (sin ky) 2))) (sin th))
(+ 1 (/ (* -1/2 (* kx kx)) (pow (sin ky) 2)))
1
(/ (* -1/2 (* kx kx)) (pow (sin ky) 2))
(* -1/2 (* kx kx))
-1/2
(* kx kx)
kx
(pow (sin ky) 2)
(sin ky)
ky
2
(sin th)
th
(* (* (sin ky) th) (/ (+ 1 (* -1/6 (* th th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
(* (sin ky) th)
(sin ky)
ky
th
(/ (+ 1 (* -1/6 (* th th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
(+ 1 (* -1/6 (* th th)))
1
(* -1/6 (* th th))
-1/6
(* th th)
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
(sin kx)
kx
Outputs
(/ (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(sin th)
(sin.f64 th)
th
(/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin ky)
(sin.f64 ky)
ky
(sin kx)
(sin.f64 kx)
kx
th
(* (/ (* (+ (* 1/6 (* kx kx)) 1) (sin ky)) kx) (sin th))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx))))
(/ (* (+ (* 1/6 (* kx kx)) 1) (sin ky)) kx)
(*.f64 (sin.f64 ky) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))
(* (+ (* 1/6 (* kx kx)) 1) (sin ky))
(*.f64 (sin.f64 ky) (+.f64 (*.f64 kx (*.f64 kx #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(+ (* 1/6 (* kx kx)) 1)
(+.f64 (*.f64 kx (*.f64 kx #s(literal 1/6 binary64))) #s(literal 1 binary64))
(* 1/6 (* kx kx))
(*.f64 kx (*.f64 kx #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(* kx kx)
(*.f64 kx kx)
kx
1
#s(literal 1 binary64)
(sin ky)
(sin.f64 ky)
ky
(sin th)
(sin.f64 th)
th
(* (+ 1 (/ (* -1/2 (* kx kx)) (pow (sin ky) 2))) (sin th))
(*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(+ 1 (/ (* -1/2 (* kx kx)) (pow (sin ky) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(/ (* -1/2 (* kx kx)) (pow (sin ky) 2))
(/.f64 (*.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(* -1/2 (* kx kx))
(*.f64 (*.f64 kx kx) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* kx kx)
(*.f64 kx kx)
kx
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin ky)
(sin.f64 ky)
ky
2
#s(literal 2 binary64)
(sin th)
(sin.f64 th)
th
(* (* (sin ky) th) (/ (+ 1 (* -1/6 (* th th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
(/.f64 (*.f64 (*.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(* (sin ky) th)
(*.f64 th (sin.f64 ky))
(sin ky)
(sin.f64 ky)
ky
th
(/ (+ 1 (* -1/6 (* th th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(+ 1 (* -1/6 (* th th)))
(+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))
1
#s(literal 1 binary64)
(* -1/6 (* th th))
(*.f64 th (*.f64 th #s(literal -1/6 binary64)))
-1/6
#s(literal -1/6 binary64)
(* th th)
(*.f64 th th)
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin kx)
(sin.f64 kx)
kx

localize174.0ms (1.3%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 (sin.f64 ky) th)
accuracy99.7%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
accuracy99.7%
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
accuracy93.2%
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
accuracy100.0%
(sin.f64 ky)
accuracy99.6%
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
accuracy94.8%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
accuracy88.4%
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
accuracy99.8%
(*.f64 #s(literal 1/6 binary64) (*.f64 kx kx))
accuracy99.6%
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
accuracy90.0%
(*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky))
accuracy81.7%
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx)
accuracy100.0%
(sin.f64 kx)
accuracy99.9%
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
accuracy99.8%
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
accuracy99.7%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
Results
115.0ms256×0valid
Compiler

Compiled 222 to 32 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-mult: 22.0ms (27.6% of total)
ival-sin: 20.0ms (25.1% of total)
ival-div: 10.0ms (12.6% of total)
...c/correct-round.rkt:119:19: 8.0ms (10.1% of total)
compiled-spec: 8.0ms (10.1% of total)
ival-add: 5.0ms (6.3% of total)
ival-pow: 3.0ms (3.8% of total)
ival-sqrt: 2.0ms (2.5% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series40.0ms (0.3%)

Counts
20 → 444
Calls
Call 1
Inputs
#<alt (/ (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)))>
#<alt (sin th)>
#<alt (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))>
#<alt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))>
#<alt (* (/ (* (+ (* 1/6 (* kx kx)) 1) (sin ky)) kx) (sin th))>
#<alt (/ (* (+ (* 1/6 (* kx kx)) 1) (sin ky)) kx)>
#<alt (* (+ (* 1/6 (* kx kx)) 1) (sin ky))>
#<alt (+ (* 1/6 (* kx kx)) 1)>
#<alt (* (+ 1 (/ (* -1/2 (* kx kx)) (pow (sin ky) 2))) (sin th))>
#<alt (+ 1 (/ (* -1/2 (* kx kx)) (pow (sin ky) 2)))>
#<alt (/ (* -1/2 (* kx kx)) (pow (sin ky) 2))>
#<alt (* -1/2 (* kx kx))>
#<alt (* (* (sin ky) th) (/ (+ 1 (* -1/6 (* th th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))>
#<alt (* (sin ky) th)>
#<alt (sin ky)>
#<alt (/ (+ 1 (* -1/6 (* th th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))>
#<alt (sin kx)>
#<alt (* 1/6 (* kx kx))>
#<alt (pow (sin ky) 2)>
#<alt (* -1/6 (* th th))>
Outputs
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt th>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (/ (sin kx) ky)>
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#<alt (/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (* 1/12 (/ 1 (sin kx)))))))))) ky)>
#<alt (/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (+ (* 1/12 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 31/15120 (sin kx)) (+ (* 7/720 (/ 1 (sin kx))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (sin kx))))))))))))))) ky)>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
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#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt 1>
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#<alt (+ 1 (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (pow (sin ky) 2))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (+ 1 (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (pow (sin ky) 2))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
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#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
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#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
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#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
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#<alt (sin ky)>
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
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#<alt (* kx (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))>
#<alt (* kx (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))>
#<alt (* 1/6 (* kx (* (sin ky) (sin th))))>
#<alt (* -1 (* kx (+ (* -1 (/ (* (sin ky) (sin th)) (pow kx 2))) (* -1/6 (* (sin ky) (sin th))))))>
#<alt (* -1 (* kx (+ (* -1 (/ (* (sin ky) (sin th)) (pow kx 2))) (* -1/6 (* (sin ky) (sin th))))))>
#<alt (* -1 (* kx (+ (* -1 (/ (* (sin ky) (sin th)) (pow kx 2))) (* -1/6 (* (sin ky) (sin th))))))>
#<alt (/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)>
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#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* 1/120 (/ (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)))) (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)) (* 1/120 (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)))))) (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)))>
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)>
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#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* 1/120 (/ (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)))) (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)) (* 1/120 (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)))))) (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)))>
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#<alt (* kx (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2))))>
#<alt (* kx (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2))))>
#<alt (* 1/6 (* kx (sin ky)))>
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#<alt (* -1 (* kx (+ (* -1 (/ (sin ky) (pow kx 2))) (* -1/6 (sin ky)))))>
#<alt (* -1 (* kx (+ (* -1 (/ (sin ky) (pow kx 2))) (* -1/6 (sin ky)))))>
#<alt (/ (* ky (+ 1 (* 1/6 (pow kx 2)))) kx)>
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#<alt (* ky (+ (* 1/6 kx) (+ (* (pow ky 2) (+ (* -1/6 (/ (+ 1 (* 1/6 (pow kx 2))) kx)) (* 1/120 (/ (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2)))) kx)))) (/ 1 kx))))>
#<alt (* ky (+ (* 1/6 kx) (+ (* (pow ky 2) (+ (* -1/6 (/ (+ 1 (* 1/6 (pow kx 2))) kx)) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* 1/120 (/ (+ 1 (* 1/6 (pow kx 2))) kx)))))) (/ 1 kx))))>
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#<alt (* ky (+ 1 (* 1/6 (pow kx 2))))>
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#<alt (* ky (+ 1 (+ (* 1/6 (pow kx 2)) (* (pow ky 2) (+ (* -1/6 (+ 1 (* 1/6 (pow kx 2)))) (* 1/120 (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2))))))))))>
#<alt (* ky (+ 1 (+ (* 1/6 (pow kx 2)) (* (pow ky 2) (+ (* -1/6 (+ 1 (* 1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2))))) (* 1/120 (+ 1 (* 1/6 (pow kx 2)))))))))))>
#<alt (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))>
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#<alt (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))>
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#<alt 1>
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#<alt (* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))>
#<alt (* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))>
#<alt (sin th)>
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#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
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#<alt (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))>
#<alt (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))>
#<alt (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))>
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#<alt (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))>
#<alt (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2)))>
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#<alt (/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (* (sin th) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))) (* (sin th) (+ 1 (* -1/6 (pow kx 2))))))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (* (sin th) (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* 1/2 (* (sin th) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))) (* 1/2 (* (pow ky 2) (* (sin th) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))))))))) (pow ky 2))>
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
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#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
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#<alt (* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))))))))>
#<alt (* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))))))))>
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))>
#<alt 1>
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#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
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#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))>
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))>
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))>
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))>
#<alt (* -1/2 (/ (pow kx 2) (pow ky 2)))>
#<alt (/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (+ (* -1/6 (pow kx 2)) (* 1/2 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))))))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (+ (* -1/6 (pow kx 2)) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (* 1/2 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))))) (pow ky 2))>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
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#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
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#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow ky 2)))>
#<alt (/ (+ (* -1/2 (pow kx 2)) (* -1/6 (* (pow kx 2) (pow ky 2)))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ (* -1/6 (pow kx 2)) (* 1/2 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ (* -1/6 (pow kx 2)) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (* 1/2 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))))))) (pow ky 2))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (/ (* ky (* th (+ 1 (* -1/6 (pow th 2))))) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (+ (* -1/12 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (+ (* -1/240 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/5040 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))>
#<alt (* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin ky) 2))) (* th (+ 1 (* -1/6 (pow th 2)))))>
#<alt (+ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (+ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))) (* 1/2 (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* ky th)>
#<alt (* ky (+ th (* -1/6 (* (pow ky 2) th))))>
#<alt (* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* 1/120 (* (pow ky 2) th))))))>
#<alt (* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) th)) (* 1/120 th)))))))>
#<alt (* th (sin ky))>
#<alt (* th (sin ky))>
#<alt (* th (sin ky))>
#<alt (* th (sin ky))>
#<alt (* th (sin ky))>
#<alt (* th (sin ky))>
#<alt (* th (sin ky))>
#<alt (* th (sin ky))>
#<alt (* th (sin ky))>
#<alt (* th (sin ky))>
#<alt (* th (sin ky))>
#<alt (* th (sin ky))>
#<alt (* th (sin ky))>
#<alt (* th (sin ky))>
#<alt (* th (sin ky))>
#<alt (* th (sin ky))>
#<alt (* th (sin ky))>
#<alt (* th (sin ky))>
#<alt (* th (sin ky))>
#<alt (* th (sin ky))>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))>
#<alt (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))>
#<alt (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (/ (+ 1 (* -1/6 (pow th 2))) (sin kx))>
#<alt (+ (* -1/2 (/ (* (pow ky 2) (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (pow th 2) (sin kx))) (/ 1 (sin kx))))>
#<alt (+ (* -1/6 (/ (pow th 2) (sin kx))) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ 1 (sin kx))))>
#<alt (+ (* -1/6 (/ (pow th 2) (sin kx))) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (* 1/2 (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ 1 (sin kx))))>
#<alt (* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ (+ 1 (* -1/6 (pow th 2))) (sin ky))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 3))) (+ (* -1/6 (/ (pow th 2) (sin ky))) (/ 1 (sin ky))))>
#<alt (+ (* -1/6 (/ (pow th 2) (sin ky))) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ 1 (sin ky))))>
#<alt (+ (* -1/6 (/ (pow th 2) (sin ky))) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ 1 (sin ky))))>
#<alt (* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt kx>
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))>
#<alt (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))>
#<alt (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (* 1/6 (pow kx 2))>
#<alt (* 1/6 (pow kx 2))>
#<alt (* 1/6 (pow kx 2))>
#<alt (* 1/6 (pow kx 2))>
#<alt (* 1/6 (pow kx 2))>
#<alt (* 1/6 (pow kx 2))>
#<alt (* 1/6 (pow kx 2))>
#<alt (* 1/6 (pow kx 2))>
#<alt (* 1/6 (pow kx 2))>
#<alt (* 1/6 (pow kx 2))>
#<alt (* 1/6 (pow kx 2))>
#<alt (* 1/6 (pow kx 2))>
#<alt (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
Calls

111 calls:

TimeVariablePointExpression
3.0ms
kx
@-inf
(* (+ (* 1/6 (* kx kx)) 1) (sin ky))
1.0ms
ky
@inf
(* (/ (* (+ (* 1/6 (* kx kx)) 1) (sin ky)) kx) (sin th))
1.0ms
ky
@inf
(* (+ 1 (/ (* -1/2 (* kx kx)) (pow (sin ky) 2))) (sin th))
1.0ms
ky
@-inf
(* (+ 1 (/ (* -1/2 (* kx kx)) (pow (sin ky) 2))) (sin th))
1.0ms
th
@inf
(* (/ (* (+ (* 1/6 (* kx kx)) 1) (sin ky)) kx) (sin th))

rewrite379.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
3982×*-lowering-*.f32
3982×*-lowering-*.f64
3788×/-lowering-/.f32
3788×/-lowering-/.f64
1932×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034161
1180157
21474151
08720151
Stop Event
iter limit
node limit
Counts
20 → 476
Calls
Call 1
Inputs
(/ (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)))
(sin th)
(/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
(* (/ (* (+ (* 1/6 (* kx kx)) 1) (sin ky)) kx) (sin th))
(/ (* (+ (* 1/6 (* kx kx)) 1) (sin ky)) kx)
(* (+ (* 1/6 (* kx kx)) 1) (sin ky))
(+ (* 1/6 (* kx kx)) 1)
(* (+ 1 (/ (* -1/2 (* kx kx)) (pow (sin ky) 2))) (sin th))
(+ 1 (/ (* -1/2 (* kx kx)) (pow (sin ky) 2)))
(/ (* -1/2 (* kx kx)) (pow (sin ky) 2))
(* -1/2 (* kx kx))
(* (* (sin ky) th) (/ (+ 1 (* -1/6 (* th th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
(* (sin ky) th)
(sin ky)
(/ (+ 1 (* -1/6 (* th th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
(sin kx)
(* 1/6 (* kx kx))
(pow (sin ky) 2)
(* -1/6 (* th th))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))
(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))
(/.f64 (neg.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (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 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))))
(*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 th) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))
(*.f64 (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 ky) (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) #s(literal 1/4 binary64))))
(sin.f64 th)
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) #s(literal 1/2 binary64)) (log.f64 (sin.f64 ky))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))
(neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky))))
(/.f64 (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64)) (sin.f64 ky))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)))))
(/.f64 (neg.f64 (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 1 binary64))
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))
(*.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) #s(literal 1/4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) #s(literal 1/4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) #s(literal 1/2 binary64)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(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 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64)))) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64))))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))))) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64)))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))) #s(literal 1/2 binary64))
(*.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
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(*.f64 (*.f64 kx #s(literal 1/6 binary64)) kx)
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(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))) #s(literal 1 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))
(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))))))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 ky)))
(*.f64 (sin.f64 ky) (sin.f64 ky))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 th (*.f64 th #s(literal -1/6 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(*.f64 (*.f64 th th) #s(literal -1/6 binary64))
(*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 th #s(literal -1/6 binary64)) th)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 th #s(literal -1/6 binary64))) th)

simplify383.0ms (2.8%)

Algorithm
egg-herbie
Rules
5902×+-lowering-+.f64
5902×+-lowering-+.f32
5548×*-lowering-*.f32
5548×*-lowering-*.f64
1748×sum5-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07247917
126697285
274367285
082987285
Stop Event
iter limit
node limit
Counts
444 → 444
Calls
Call 1
Inputs
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(/ (sin kx) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (* 1/12 (/ 1 (sin kx)))))))))) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (+ (* 1/12 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 31/15120 (sin kx)) (+ (* 7/720 (/ 1 (sin kx))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (sin kx))))))))))))))) ky)
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
1
(+ 1 (* 1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (pow (sin ky) 2))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+ 1 (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (pow (sin ky) 2))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ (* (sin ky) (sin th)) kx)
(/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)
(/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)
(/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)
(* 1/6 (* kx (* (sin ky) (sin th))))
(* kx (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))
(* kx (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))
(* kx (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))
(* 1/6 (* kx (* (sin ky) (sin th))))
(* -1 (* kx (+ (* -1 (/ (* (sin ky) (sin th)) (pow kx 2))) (* -1/6 (* (sin ky) (sin th))))))
(* -1 (* kx (+ (* -1 (/ (* (sin ky) (sin th)) (pow kx 2))) (* -1/6 (* (sin ky) (sin th))))))
(* -1 (* kx (+ (* -1 (/ (* (sin ky) (sin th)) (pow kx 2))) (* -1/6 (* (sin ky) (sin th))))))
(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(* ky (+ (* -1/6 (/ (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)) (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* 1/120 (/ (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)))) (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)) (* 1/120 (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)))))) (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)))
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* th (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)
(* th (+ (* -1/6 (/ (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)) (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* 1/120 (/ (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)))) (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)) (* 1/120 (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)))))) (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)))
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (sin ky) kx)
(/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx)
(/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx)
(/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx)
(* 1/6 (* kx (sin ky)))
(* kx (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2))))
(* kx (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2))))
(* kx (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2))))
(* 1/6 (* kx (sin ky)))
(* -1 (* kx (+ (* -1 (/ (sin ky) (pow kx 2))) (* -1/6 (sin ky)))))
(* -1 (* kx (+ (* -1 (/ (sin ky) (pow kx 2))) (* -1/6 (sin ky)))))
(* -1 (* kx (+ (* -1 (/ (sin ky) (pow kx 2))) (* -1/6 (sin ky)))))
(/ (* ky (+ 1 (* 1/6 (pow kx 2)))) kx)
(* ky (+ (* -1/6 (/ (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2)))) kx)) (+ (* 1/6 kx) (/ 1 kx))))
(* ky (+ (* 1/6 kx) (+ (* (pow ky 2) (+ (* -1/6 (/ (+ 1 (* 1/6 (pow kx 2))) kx)) (* 1/120 (/ (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2)))) kx)))) (/ 1 kx))))
(* ky (+ (* 1/6 kx) (+ (* (pow ky 2) (+ (* -1/6 (/ (+ 1 (* 1/6 (pow kx 2))) kx)) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* 1/120 (/ (+ 1 (* 1/6 (pow kx 2))) kx)))))) (/ 1 kx))))
(/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)
(/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)
(/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)
(/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)
(/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)
(/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)
(/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)
(/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)
(sin ky)
(+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky))))
(+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky))))
(+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky))))
(* 1/6 (* (pow kx 2) (sin ky)))
(* (pow kx 2) (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2))))
(* (pow kx 2) (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2))))
(* (pow kx 2) (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2))))
(* 1/6 (* (pow kx 2) (sin ky)))
(* (pow kx 2) (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2))))
(* (pow kx 2) (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2))))
(* (pow kx 2) (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2))))
(* ky (+ 1 (* 1/6 (pow kx 2))))
(* ky (+ 1 (+ (* -1/6 (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2))))) (* 1/6 (pow kx 2)))))
(* ky (+ 1 (+ (* 1/6 (pow kx 2)) (* (pow ky 2) (+ (* -1/6 (+ 1 (* 1/6 (pow kx 2)))) (* 1/120 (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2))))))))))
(* ky (+ 1 (+ (* 1/6 (pow kx 2)) (* (pow ky 2) (+ (* -1/6 (+ 1 (* 1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2))))) (* 1/120 (+ 1 (* 1/6 (pow kx 2)))))))))))
(* (sin ky) (+ 1 (* 1/6 (pow kx 2))))
(* (sin ky) (+ 1 (* 1/6 (pow kx 2))))
(* (sin ky) (+ 1 (* 1/6 (pow kx 2))))
(* (sin ky) (+ 1 (* 1/6 (pow kx 2))))
(* (sin ky) (+ 1 (* 1/6 (pow kx 2))))
(* (sin ky) (+ 1 (* 1/6 (pow kx 2))))
(* (sin ky) (+ 1 (* 1/6 (pow kx 2))))
(* (sin ky) (+ 1 (* 1/6 (pow kx 2))))
1
(+ 1 (* 1/6 (pow kx 2)))
(+ 1 (* 1/6 (pow kx 2)))
(+ 1 (* 1/6 (pow kx 2)))
(* 1/6 (pow kx 2))
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))
(* 1/6 (pow kx 2))
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2)))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))) (pow ky 2))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (* (sin th) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))) (* (sin th) (+ 1 (* -1/6 (pow kx 2))))))) (pow ky 2))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (* (sin th) (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* 1/2 (* (sin th) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))) (* 1/2 (* (pow ky 2) (* (sin th) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))))))))) (pow ky 2))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* -1/6 (* (pow th 2) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))))))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))))))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
1
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))
(* -1/2 (/ (pow kx 2) (pow ky 2)))
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (pow ky 2))
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (+ (* -1/6 (pow kx 2)) (* 1/2 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))))))) (pow ky 2))
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (+ (* -1/6 (pow kx 2)) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (* 1/2 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))))) (pow ky 2))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow ky 2)))
(/ (+ (* -1/2 (pow kx 2)) (* -1/6 (* (pow kx 2) (pow ky 2)))) (pow ky 2))
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ (* -1/6 (pow kx 2)) (* 1/2 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (pow ky 2))
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ (* -1/6 (pow kx 2)) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (* 1/2 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))))))) (pow ky 2))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(/ (* ky (* th (+ 1 (* -1/6 (pow th 2))))) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (+ (* -1/12 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (+ (* -1/240 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/5040 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* th (+ 1 (* -1/6 (pow th 2))))
(+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin ky) 2))) (* th (+ 1 (* -1/6 (pow th 2)))))
(+ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(+ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))) (* 1/2 (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* ky th)
(* ky (+ th (* -1/6 (* (pow ky 2) th))))
(* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* 1/120 (* (pow ky 2) th))))))
(* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) th)) (* 1/120 th)))))))
(* th (sin ky))
(* th (sin ky))
(* th (sin ky))
(* th (sin ky))
(* th (sin ky))
(* th (sin ky))
(* th (sin ky))
(* th (sin ky))
(* th (sin ky))
(* th (sin ky))
(* th (sin ky))
(* th (sin ky))
(* th (sin ky))
(* th (sin ky))
(* th (sin ky))
(* th (sin ky))
(* th (sin ky))
(* th (sin ky))
(* th (sin ky))
(* th (sin ky))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(/ (+ 1 (* -1/6 (pow th 2))) (sin kx))
(+ (* -1/2 (/ (* (pow ky 2) (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (pow th 2) (sin kx))) (/ 1 (sin kx))))
(+ (* -1/6 (/ (pow th 2) (sin kx))) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ 1 (sin kx))))
(+ (* -1/6 (/ (pow th 2) (sin kx))) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (* 1/2 (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ 1 (sin kx))))
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ (+ 1 (* -1/6 (pow th 2))) (sin ky))
(+ (* -1/2 (/ (* (pow kx 2) (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 3))) (+ (* -1/6 (/ (pow th 2) (sin ky))) (/ 1 (sin ky))))
(+ (* -1/6 (/ (pow th 2) (sin ky))) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ 1 (sin ky))))
(+ (* -1/6 (/ (pow th 2) (sin ky))) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ 1 (sin ky))))
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(* 1/6 (pow kx 2))
(* 1/6 (pow kx 2))
(* 1/6 (pow kx 2))
(* 1/6 (pow kx 2))
(* 1/6 (pow kx 2))
(* 1/6 (pow kx 2))
(* 1/6 (pow kx 2))
(* 1/6 (pow kx 2))
(* 1/6 (pow kx 2))
(* 1/6 (pow kx 2))
(* 1/6 (pow kx 2))
(* 1/6 (pow kx 2))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
Outputs
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (*.f64 th th) (+.f64 (*.f64 (*.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)) (+.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))))))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)) (+.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) #s(literal -1/12 binary64)) (+.f64 (/.f64 (*.f64 #s(literal -1/240 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (sin.f64 kx)))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+.f64 (sin.f64 th) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))
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(* kx (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))
(*.f64 kx (+.f64 (*.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (sin.f64 th)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (*.f64 kx kx)))))
(* 1/6 (* kx (* (sin ky) (sin th))))
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(* -1 (* kx (+ (* -1 (/ (* (sin ky) (sin th)) (pow kx 2))) (* -1/6 (* (sin ky) (sin th))))))
(*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (sin.f64 th)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (*.f64 kx kx)))) (neg.f64 kx))
(* -1 (* kx (+ (* -1 (/ (* (sin ky) (sin th)) (pow kx 2))) (* -1/6 (* (sin ky) (sin th))))))
(*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (sin.f64 th)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (*.f64 kx kx)))) (neg.f64 kx))
(* -1 (* kx (+ (* -1 (/ (* (sin ky) (sin th)) (pow kx 2))) (* -1/6 (* (sin ky) (sin th))))))
(*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (sin.f64 th)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (*.f64 kx kx)))) (neg.f64 kx))
(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(*.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 ky kx))
(* ky (+ (* -1/6 (/ (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)) (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)))
(*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 ky ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 (sin.f64 th) kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* 1/120 (/ (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)))) (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)))
(*.f64 ky (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 (sin.f64 th) kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (/.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (*.f64 ky ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx)))))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)) (* 1/120 (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)))))) (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)))
(*.f64 ky (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 (sin.f64 th) kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 (*.f64 ky ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (/.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx)))))))
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(/ (* th (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx))
(* th (+ (* -1/6 (/ (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)) (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)))
(*.f64 th (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 th th) (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx) (/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx)))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* 1/120 (/ (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)))) (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)))
(*.f64 th (+.f64 (/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx) (*.f64 (*.f64 th th) (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (/.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)) (* 1/120 (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)))))) (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)))
(*.f64 th (+.f64 (/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx) (*.f64 (*.f64 th th) (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (*.f64 (*.f64 th th) (+.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 th th) (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx) (/.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx)))))))
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(/ (sin ky) kx)
(/.f64 (sin.f64 ky) kx)
(/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx)
(/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx)
(/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx)
(/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(* 1/6 (* kx (sin ky)))
(*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx))
(* kx (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2))))
(*.f64 kx (+.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 kx kx))))
(* kx (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2))))
(*.f64 kx (+.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 kx kx))))
(* kx (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2))))
(*.f64 kx (+.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 kx kx))))
(* 1/6 (* kx (sin ky)))
(*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx))
(* -1 (* kx (+ (* -1 (/ (sin ky) (pow kx 2))) (* -1/6 (sin ky)))))
(-.f64 #s(literal 0 binary64) (*.f64 kx (-.f64 (*.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 kx kx)))))
(* -1 (* kx (+ (* -1 (/ (sin ky) (pow kx 2))) (* -1/6 (sin ky)))))
(-.f64 #s(literal 0 binary64) (*.f64 kx (-.f64 (*.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 kx kx)))))
(* -1 (* kx (+ (* -1 (/ (sin ky) (pow kx 2))) (* -1/6 (sin ky)))))
(-.f64 #s(literal 0 binary64) (*.f64 kx (-.f64 (*.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 kx kx)))))
(/ (* ky (+ 1 (* 1/6 (pow kx 2)))) kx)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx))
(* ky (+ (* -1/6 (/ (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2)))) kx)) (+ (* 1/6 kx) (/ 1 kx))))
(*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx))))
(* ky (+ (* 1/6 kx) (+ (* (pow ky 2) (+ (* -1/6 (/ (+ 1 (* 1/6 (pow kx 2))) kx)) (* 1/120 (/ (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2)))) kx)))) (/ 1 kx))))
(*.f64 ky (+.f64 (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 #s(literal -1/6 binary64) kx)) (/.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx)))))
(* ky (+ (* 1/6 kx) (+ (* (pow ky 2) (+ (* -1/6 (/ (+ 1 (* 1/6 (pow kx 2))) kx)) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* 1/120 (/ (+ 1 (* 1/6 (pow kx 2))) kx)))))) (/ 1 kx))))
(*.f64 ky (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 #s(literal -1/6 binary64) kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/120 binary64) kx)))))))))
(/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)
(/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)
(/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)
(/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)
(/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)
(/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)
(/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)
(/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)
(/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky))))
(*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))
(+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky))))
(*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))
(+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky))))
(*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))
(* 1/6 (* (pow kx 2) (sin ky)))
(*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)) (sin.f64 ky))
(* (pow kx 2) (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2))))
(*.f64 (*.f64 kx kx) (+.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 kx kx))))
(* (pow kx 2) (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2))))
(*.f64 (*.f64 kx kx) (+.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 kx kx))))
(* (pow kx 2) (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2))))
(*.f64 (*.f64 kx kx) (+.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 kx kx))))
(* 1/6 (* (pow kx 2) (sin ky)))
(*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)) (sin.f64 ky))
(* (pow kx 2) (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2))))
(*.f64 (*.f64 kx kx) (+.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 kx kx))))
(* (pow kx 2) (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2))))
(*.f64 (*.f64 kx kx) (+.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 kx kx))))
(* (pow kx 2) (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2))))
(*.f64 (*.f64 kx kx) (+.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 kx kx))))
(* ky (+ 1 (* 1/6 (pow kx 2))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))
(* ky (+ 1 (+ (* -1/6 (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2))))) (* 1/6 (pow kx 2)))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))))))
(* ky (+ 1 (+ (* 1/6 (pow kx 2)) (* (pow ky 2) (+ (* -1/6 (+ 1 (* 1/6 (pow kx 2)))) (* 1/120 (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2))))))))))
(*.f64 ky (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (*.f64 (*.f64 ky ky) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 ky ky)))))))
(* ky (+ 1 (+ (* 1/6 (pow kx 2)) (* (pow ky 2) (+ (* -1/6 (+ 1 (* 1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2))))) (* 1/120 (+ 1 (* 1/6 (pow kx 2)))))))))))
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(* (sin ky) (+ 1 (* 1/6 (pow kx 2))))
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1
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1
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(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
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ky
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(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (sin.f64 kx))))
(+ (* -1/6 (/ (pow th 2) (sin kx))) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ 1 (sin kx))))
(+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 ky ky) (sin.f64 kx)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))))))))
(+ (* -1/6 (/ (pow th 2) (sin kx))) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (* 1/2 (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ 1 (sin kx))))
(+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 (sin.f64 kx) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))))))))
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(/ (+ 1 (* -1/6 (pow th 2))) (sin ky))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))
(+ (* -1/2 (/ (* (pow kx 2) (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 3))) (+ (* -1/6 (/ (pow th 2) (sin ky))) (/ 1 (sin ky))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (sin.f64 ky))))
(+ (* -1/6 (/ (pow th 2) (sin ky))) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ 1 (sin ky))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (sin.f64 ky))) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 ky) (*.f64 kx kx)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))))
(+ (* -1/6 (/ (pow th 2) (sin ky))) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ 1 (sin ky))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (sin.f64 ky))) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))))))))
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx))))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))))))
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(* 1/6 (pow kx 2))
(*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))
(* 1/6 (pow kx 2))
(*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))
(* 1/6 (pow kx 2))
(*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))
(* 1/6 (pow kx 2))
(*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))
(* 1/6 (pow kx 2))
(*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))
(* 1/6 (pow kx 2))
(*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))
(* 1/6 (pow kx 2))
(*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))
(* 1/6 (pow kx 2))
(*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))
(* 1/6 (pow kx 2))
(*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))
(* 1/6 (pow kx 2))
(*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))
(* 1/6 (pow kx 2))
(*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))
(* 1/6 (pow kx 2))
(*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))
(pow ky 2)
(*.f64 ky ky)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/3 binary64))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 ky ky) #s(literal 2/45 binary64))))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/315 binary64))))))))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))

eval164.0ms (1.2%)

Compiler

Compiled 25846 to 2657 computations (89.7% saved)

prune164.0ms (1.2%)

Pruning

68 alts after pruning (61 fresh and 7 done)

PrunedKeptTotal
New1074311105
Fresh123042
Picked235
Done044
Total1088681156
Accuracy
100.0%
Counts
1156 → 68
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.6%
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky))
93.5%
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
17.3%
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
26.2%
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
99.7%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
57.5%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
14.8%
(/.f64 (sin.f64 th) (/.f64 (/.f64 kx (sin.f64 ky)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64))))
75.5%
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) (sin.f64 ky)))
29.4%
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
99.6%
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
37.0%
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
99.5%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
49.2%
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
92.8%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
31.5%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))
28.5%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
30.1%
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)))
30.0%
(*.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (sin.f64 kx)) (sin.f64 th))
3.3%
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
18.6%
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) (sin.f64 th))
20.4%
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))) (*.f64 ky ky)) (sin.f64 th))
22.0%
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) (sin.f64 th))
14.9%
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 kx #s(literal 1/6 binary64)) kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
10.9%
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
11.1%
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th)
13.7%
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
28.9%
(*.f64 (/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
15.7%
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) (sin.f64 kx)) (sin.f64 th))
99.7%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
49.2%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
57.5%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
57.0%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
32.0%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
21.2%
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
31.8%
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th))
28.6%
(*.f64 (/.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 kx)) (sin.f64 th))
29.4%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
31.9%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
28.7%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
31.1%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
30.0%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th))
13.5%
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th))
14.9%
(*.f64 (*.f64 (sin.f64 ky) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) kx)) (sin.f64 th))
11.0%
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx))
28.7%
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
42.7%
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
26.2%
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) kx)))
23.8%
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 ky (sin.f64 kx))))
35.7%
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))))
21.3%
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky)))
16.7%
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
15.4%
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
13.2%
(*.f64 (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) (sin.f64 th))
13.9%
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th)))
9.0%
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx)) (sin.f64 th))
32.3%
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) kx)))
29.9%
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 ky (sin.f64 kx))))
35.8%
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))))))))
15.5%
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 ky)))
99.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
33.8%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
32.0%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
49.1%
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
31.9%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
15.5%
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
18.7%
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))))
33.9%
(sin.f64 th)
15.9%
th
Compiler

Compiled 2221 to 1528 computations (31.2% saved)

simplify296.0ms (2.1%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(hypot.f64 kx (sin.f64 ky))
cost-diff0
(sin.f64 ky)
cost-diff0
(/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky)))
cost-diff0
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
cost-diff0
(sin.f64 th)
cost-diff0
(/.f64 (sin.f64 th) (sin.f64 ky))
cost-diff0
(sin.f64 ky)
cost-diff13056
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
cost-diff0
(sin.f64 th)
cost-diff0
(sin.f64 kx)
cost-diff0
(/.f64 ky (sin.f64 kx))
cost-diff0
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
cost-diff0
(*.f64 th th)
cost-diff0
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
cost-diff0
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
cost-diff0
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
cost-diff0
(sin.f64 th)
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
cost-diff128
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
Rules
5326×*-lowering-*.f32
5326×*-lowering-*.f64
3174×/-lowering-/.f32
3174×/-lowering-/.f64
2118×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028130
160127
2104124
3165124
4204124
5270124
6517124
71631124
81958124
92321124
102473124
112544124
122660124
132807124
142991124
153740124
164144124
174665124
185254124
195516124
205598124
215624124
225629124
236894124
247988124
08016124
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (sin th) (/ 1 (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))))
(sin th)
th
(/ 1 (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
1
(/ (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
(* th (+ 1 (* -1/6 (* th th))))
th
(+ 1 (* -1/6 (* th th)))
1
(* -1/6 (* th th))
-1/6
(* th th)
(* (/ ky (sin kx)) (sin th))
(/ ky (sin kx))
ky
(sin kx)
kx
(sin th)
th
(* (sin ky) (/ (sin th) (sin ky)))
(sin ky)
ky
(/ (sin th) (sin ky))
(sin th)
th
(* (/ (sin ky) (sqrt (+ (* kx kx) (* (sin ky) (sin ky))))) (sin th))
(/ (sin ky) (sqrt (+ (* kx kx) (* (sin ky) (sin ky)))))
(sin ky)
ky
(sqrt (+ (* kx kx) (* (sin ky) (sin ky))))
kx
(sin th)
th
Outputs
(/ (sin th) (/ 1 (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(sin th)
(sin.f64 th)
th
(/ 1 (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
1
#s(literal 1 binary64)
(/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin ky)
(sin.f64 ky)
ky
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin kx)
(sin.f64 kx)
kx
(* th (+ 1 (* -1/6 (* th th))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))
th
(+ 1 (* -1/6 (* th th)))
(+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))
1
#s(literal 1 binary64)
(* -1/6 (* th th))
(*.f64 th (*.f64 th #s(literal -1/6 binary64)))
-1/6
#s(literal -1/6 binary64)
(* th th)
(*.f64 th th)
(* (/ ky (sin kx)) (sin th))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
ky
(sin kx)
(sin.f64 kx)
kx
(sin th)
(sin.f64 th)
th
(* (sin ky) (/ (sin th) (sin ky)))
(sin.f64 th)
(sin ky)
(sin.f64 ky)
ky
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(sin th)
(sin.f64 th)
th
(* (/ (sin ky) (sqrt (+ (* kx kx) (* (sin ky) (sin ky))))) (sin th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/ (sin ky) (sqrt (+ (* kx kx) (* (sin ky) (sin ky)))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx))
(sin ky)
(sin.f64 ky)
ky
(sqrt (+ (* kx kx) (* (sin ky) (sin ky))))
(hypot.f64 (sin.f64 ky) kx)
kx
(sin th)
(sin.f64 th)
th

localize158.0ms (1.1%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 th)
accuracy100.0%
(sin.f64 ky)
accuracy99.9%
(/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky)))
accuracy99.8%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
accuracy100.0%
(sin.f64 th)
accuracy100.0%
(sin.f64 ky)
accuracy99.7%
(/.f64 (sin.f64 th) (sin.f64 ky))
accuracy99.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
accuracy100.0%
(sin.f64 th)
accuracy100.0%
(sin.f64 kx)
accuracy99.8%
(/.f64 ky (sin.f64 kx))
accuracy97.4%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
accuracy100.0%
(*.f64 th th)
accuracy99.9%
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
accuracy99.7%
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
accuracy99.9%
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
accuracy99.7%
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
accuracy99.7%
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
Results
122.0ms256×0valid
Compiler

Compiled 142 to 24 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-mult: 20.0ms (26% of total)
ival-sin: 20.0ms (26% of total)
compiled-spec: 15.0ms (19.5% of total)
ival-div: 9.0ms (11.7% of total)
ival-add: 4.0ms (5.2% of total)
ival-sqrt: 4.0ms (5.2% of total)
...c/correct-round.rkt:119:19: 4.0ms (5.2% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series48.0ms (0.3%)

Counts
18 → 384
Calls
Call 1
Inputs
#<alt (/ (sin th) (/ 1 (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))))>
#<alt (/ 1 (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))>
#<alt (sin th)>
#<alt (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))>
#<alt (* th (+ 1 (* -1/6 (* th th))))>
#<alt (+ 1 (* -1/6 (* th th)))>
#<alt (* -1/6 (* th th))>
#<alt (* th th)>
#<alt (* (/ ky (sin kx)) (sin th))>
#<alt (/ ky (sin kx))>
#<alt (sin kx)>
#<alt (* (sin ky) (/ (sin th) (sin ky)))>
#<alt (sin ky)>
#<alt (/ (sin th) (sin ky))>
#<alt (* (/ (sin ky) (sqrt (+ (* kx kx) (* (sin ky) (sin ky))))) (sin th))>
#<alt (/ (sin ky) (sqrt (+ (* kx kx) (* (sin ky) (sin ky)))))>
#<alt (sqrt (+ (* kx kx) (* (sin ky) (sin ky))))>
#<alt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))>
Outputs
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ (sin kx) ky)>
#<alt (/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky)>
#<alt (/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (* 1/12 (/ 1 (sin kx)))))))))) ky)>
#<alt (/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (+ (* 1/12 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 31/15120 (sin kx)) (+ (* 7/720 (/ 1 (sin kx))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (sin kx))))))))))))))) ky)>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (pow (sin ky) 2))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (+ 1 (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (pow (sin ky) 2))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt th>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (/ ky (sin kx))>
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt th>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* -1/6 (pow th 3))>
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))>
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))>
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow th 2)))>
#<alt (+ 1 (* -1/6 (pow th 2)))>
#<alt (+ 1 (* -1/6 (pow th 2)))>
#<alt (* -1/6 (pow th 2))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* -1/6 (pow th 2))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) kx)>
#<alt (/ (+ (* 1/6 (* (pow kx 2) (* ky (sin th)))) (* ky (sin th))) kx)>
#<alt (/ (+ (* ky (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th)))))) (* -1/6 (* ky (sin th)))))) kx)>
#<alt (/ (+ (* ky (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* ky (sin th))) (+ (* 1/720 (* ky (sin th))) (* 1/6 (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th))))))))) (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th)))))) (* -1/6 (* ky (sin th)))))) kx)>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky th) (sin kx))>
#<alt (* th (+ (* -1/6 (/ (* ky (pow th 2)) (sin kx))) (/ ky (sin kx))))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (sin kx))) (* 1/120 (/ (* ky (pow th 2)) (sin kx))))) (/ ky (sin kx))))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* ky (pow th 2)) (sin kx))) (* 1/120 (/ ky (sin kx))))))) (/ ky (sin kx))))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky kx)>
#<alt (/ (+ ky (* 1/6 (* (pow kx 2) ky))) kx)>
#<alt (/ (+ ky (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 ky) (* 1/120 ky)))) (* -1/6 ky)))) kx)>
#<alt (/ (+ ky (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 ky) (+ (* 1/720 ky) (* 1/6 (+ (* -1/36 ky) (* 1/120 ky))))))) (+ (* -1/36 ky) (* 1/120 ky)))) (* -1/6 ky)))) kx)>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt kx>
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))>
#<alt (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))>
#<alt (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt th>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (/ th (sin ky))>
#<alt (* th (+ (* -1/6 (/ (pow th 2) (sin ky))) (/ 1 (sin ky))))>
#<alt (* th (+ (* (pow th 2) (- (* 1/120 (/ (pow th 2) (sin ky))) (* 1/6 (/ 1 (sin ky))))) (/ 1 (sin ky))))>
#<alt (* th (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/5040 (/ (pow th 2) (sin ky))) (* 1/120 (/ 1 (sin ky))))) (* 1/6 (/ 1 (sin ky))))) (/ 1 (sin ky))))>
#<alt (/ (sin th) (sin ky))>
#<alt (/ (sin th) (sin ky))>
#<alt (/ (sin th) (sin ky))>
#<alt (/ (sin th) (sin ky))>
#<alt (/ (sin th) (sin ky))>
#<alt (/ (sin th) (sin ky))>
#<alt (/ (sin th) (sin ky))>
#<alt (/ (sin th) (sin ky))>
#<alt (/ (sin th) ky)>
#<alt (/ (+ (sin th) (* 1/6 (* (pow ky 2) (sin th)))) ky)>
#<alt (/ (+ (sin th) (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/36 (sin th)) (* 1/120 (sin th))))) (* -1/6 (sin th))))) ky)>
#<alt (/ (+ (sin th) (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/5040 (sin th)) (+ (* 1/720 (sin th)) (* 1/6 (+ (* -1/36 (sin th)) (* 1/120 (sin th)))))))) (+ (* -1/36 (sin th)) (* 1/120 (sin th))))) (* -1/6 (sin th))))) ky)>
#<alt (/ (sin th) (sin ky))>
#<alt (/ (sin th) (sin ky))>
#<alt (/ (sin th) (sin ky))>
#<alt (/ (sin th) (sin ky))>
#<alt (/ (sin th) (sin ky))>
#<alt (/ (sin th) (sin ky))>
#<alt (/ (sin th) (sin ky))>
#<alt (/ (sin th) (sin ky))>
#<alt (/ (* ky (sin th)) kx)>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (* -1/6 (/ (sin th) kx)))) (/ (sin th) kx)))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))))) (/ (sin th) kx)))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (+ (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8)))))))) (+ (* -1/12 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* -1/240 (/ (sin th) (pow kx 3))) (* -1/5040 (/ (sin th) kx))))))))))))) (/ (sin th) kx)))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 3/8 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 4))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 6))) (* 3/8 (/ (sin th) (pow (sin ky) 4))))))))>
#<alt (/ (* (sin ky) (sin th)) kx)>
#<alt (/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx)>
#<alt (* -1 (/ (* (sin ky) (sin th)) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (/ ky kx)>
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* 1/12 (/ 1 (pow kx 3)))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/12 (/ 1 (pow kx 3))) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* kx (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8))))))) (* -1/12 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* 1/5040 (/ 1 kx)) (* 1/240 (/ 1 (pow kx 3)))))))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* (pow kx 2) (- (* 3/8 (/ (pow kx 2) (pow (sin ky) 4))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -5/16 (/ (pow kx 2) (pow (sin ky) 6))) (* 3/8 (/ 1 (pow (sin ky) 4))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (/ (sin ky) kx)>
#<alt (/ (+ (sin ky) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))) kx)>
#<alt (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2))))) kx)>
#<alt (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))) (pow kx 6))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))))) kx)>
#<alt (* -1 (/ (sin ky) kx))>
#<alt (* -1 (/ (+ (sin ky) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))) kx))>
#<alt (* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2))))) kx))>
#<alt (* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))) (pow kx 6))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))))) kx))>
#<alt (sin ky)>
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/8 (/ (pow kx 2) (pow (sin ky) 3))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (- (* 1/16 (/ (pow kx 2) (pow (sin ky) 5))) (* 1/8 (/ 1 (pow (sin ky) 3))))) (* 1/2 (/ 1 (sin ky))))))>
#<alt kx>
#<alt (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))>
#<alt (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))>
#<alt (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))>
#<alt (* -1 kx)>
#<alt (* -1 (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))>
#<alt (* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))>
#<alt (* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))))>
#<alt kx>
#<alt (+ kx (* 1/2 (/ (pow ky 2) kx)))>
#<alt (+ kx (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow kx 2))))) kx)) (* 1/2 (/ 1 kx)))))>
#<alt (+ kx (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) kx)) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) (pow kx 2))))) kx)))) (* 1/2 (/ 1 kx)))))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sin ky)>
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
Calls

96 calls:

TimeVariablePointExpression
15.0ms
th
@-inf
(/ (sin th) (sin ky))
2.0ms
th
@0
(* (/ ky (sin kx)) (sin th))
2.0ms
ky
@0
(* (/ (sin ky) (sqrt (+ (* kx kx) (* (sin ky) (sin ky))))) (sin th))
1.0ms
ky
@inf
(* (/ (sin ky) (sqrt (+ (* kx kx) (* (sin ky) (sin ky))))) (sin th))
1.0ms
ky
@-inf
(* (/ (sin ky) (sqrt (+ (* kx kx) (* (sin ky) (sin ky))))) (sin th))

rewrite319.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
4040×/-lowering-/.f32
4040×/-lowering-/.f64
4032×*-lowering-*.f32
4032×*-lowering-*.f64
1564×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028103
116299
2120597
0849797
Stop Event
iter limit
node limit
Counts
18 → 587
Calls
Call 1
Inputs
(/ (sin th) (/ 1 (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))))
(/ 1 (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
(sin th)
(/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
(* th (+ 1 (* -1/6 (* th th))))
(+ 1 (* -1/6 (* th th)))
(* -1/6 (* th th))
(* th th)
(* (/ ky (sin kx)) (sin th))
(/ ky (sin kx))
(sin kx)
(* (sin ky) (/ (sin th) (sin ky)))
(sin ky)
(/ (sin th) (sin ky))
(* (/ (sin ky) (sqrt (+ (* kx kx) (* (sin ky) (sin ky))))) (sin th))
(/ (sin ky) (sqrt (+ (* kx kx) (* (sin ky) (sin ky)))))
(sqrt (+ (* kx kx) (* (sin ky) (sin ky))))
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (-.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (-.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) #s(literal -1 binary64)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(/.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th))) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky)) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (sin.f64 th)) (*.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (sin.f64 th)) (*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64)))
(/.f64 (/.f64 (sin.f64 th) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 th))) (*.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 th))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal -1 binary64)))
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(pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64))
(*.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64)))))))
(*.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) #s(literal 1/4 binary64)))

simplify444.0ms (3.2%)

Algorithm
egg-herbie
Rules
9534×*-lowering-*.f32
9534×*-lowering-*.f64
5244×+-lowering-+.f64
5244×+-lowering-+.f32
1690×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07675663
127225303
092515303
Stop Event
iter limit
node limit
Counts
384 → 384
Calls
Call 1
Inputs
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ (sin kx) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (* 1/12 (/ 1 (sin kx)))))))))) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (+ (* 1/12 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 31/15120 (sin kx)) (+ (* 7/720 (/ 1 (sin kx))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (sin kx))))))))))))))) ky)
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
1
(+ 1 (* 1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (pow (sin ky) 2))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+ 1 (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (pow (sin ky) 2))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(/ ky (sin kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
1
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* -1/6 (pow th 2))))
(* -1/6 (pow th 3))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* -1/6 (pow th 3))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
1
(+ 1 (* -1/6 (pow th 2)))
(+ 1 (* -1/6 (pow th 2)))
(+ 1 (* -1/6 (pow th 2)))
(* -1/6 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* -1/6 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) kx)
(/ (+ (* 1/6 (* (pow kx 2) (* ky (sin th)))) (* ky (sin th))) kx)
(/ (+ (* ky (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th)))))) (* -1/6 (* ky (sin th)))))) kx)
(/ (+ (* ky (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* ky (sin th))) (+ (* 1/720 (* ky (sin th))) (* 1/6 (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th))))))))) (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th)))))) (* -1/6 (* ky (sin th)))))) kx)
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky th) (sin kx))
(* th (+ (* -1/6 (/ (* ky (pow th 2)) (sin kx))) (/ ky (sin kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (sin kx))) (* 1/120 (/ (* ky (pow th 2)) (sin kx))))) (/ ky (sin kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* ky (pow th 2)) (sin kx))) (* 1/120 (/ ky (sin kx))))))) (/ ky (sin kx))))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky kx)
(/ (+ ky (* 1/6 (* (pow kx 2) ky))) kx)
(/ (+ ky (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 ky) (* 1/120 ky)))) (* -1/6 ky)))) kx)
(/ (+ ky (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 ky) (+ (* 1/720 ky) (* 1/6 (+ (* -1/36 ky) (* 1/120 ky))))))) (+ (* -1/36 ky) (* 1/120 ky)))) (* -1/6 ky)))) kx)
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(/ th (sin ky))
(* th (+ (* -1/6 (/ (pow th 2) (sin ky))) (/ 1 (sin ky))))
(* th (+ (* (pow th 2) (- (* 1/120 (/ (pow th 2) (sin ky))) (* 1/6 (/ 1 (sin ky))))) (/ 1 (sin ky))))
(* th (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/5040 (/ (pow th 2) (sin ky))) (* 1/120 (/ 1 (sin ky))))) (* 1/6 (/ 1 (sin ky))))) (/ 1 (sin ky))))
(/ (sin th) (sin ky))
(/ (sin th) (sin ky))
(/ (sin th) (sin ky))
(/ (sin th) (sin ky))
(/ (sin th) (sin ky))
(/ (sin th) (sin ky))
(/ (sin th) (sin ky))
(/ (sin th) (sin ky))
(/ (sin th) ky)
(/ (+ (sin th) (* 1/6 (* (pow ky 2) (sin th)))) ky)
(/ (+ (sin th) (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/36 (sin th)) (* 1/120 (sin th))))) (* -1/6 (sin th))))) ky)
(/ (+ (sin th) (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/5040 (sin th)) (+ (* 1/720 (sin th)) (* 1/6 (+ (* -1/36 (sin th)) (* 1/120 (sin th)))))))) (+ (* -1/36 (sin th)) (* 1/120 (sin th))))) (* -1/6 (sin th))))) ky)
(/ (sin th) (sin ky))
(/ (sin th) (sin ky))
(/ (sin th) (sin ky))
(/ (sin th) (sin ky))
(/ (sin th) (sin ky))
(/ (sin th) (sin ky))
(/ (sin th) (sin ky))
(/ (sin th) (sin ky))
(/ (* ky (sin th)) kx)
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (* -1/6 (/ (sin th) kx)))) (/ (sin th) kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))))) (/ (sin th) kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (+ (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8)))))))) (+ (* -1/12 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* -1/240 (/ (sin th) (pow kx 3))) (* -1/5040 (/ (sin th) kx))))))))))))) (/ (sin th) kx)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 3/8 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 4))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 6))) (* 3/8 (/ (sin th) (pow (sin ky) 4))))))))
(/ (* (sin ky) (sin th)) kx)
(/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx)
(* -1 (/ (* (sin ky) (sin th)) kx))
(* -1 (/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(/ ky kx)
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* 1/12 (/ 1 (pow kx 3)))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/12 (/ 1 (pow kx 3))) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* kx (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8))))))) (* -1/12 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* 1/5040 (/ 1 kx)) (* 1/240 (/ 1 (pow kx 3)))))))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
1
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* (pow kx 2) (- (* 3/8 (/ (pow kx 2) (pow (sin ky) 4))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -5/16 (/ (pow kx 2) (pow (sin ky) 6))) (* 3/8 (/ 1 (pow (sin ky) 4))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(/ (sin ky) kx)
(/ (+ (sin ky) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))) kx)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2))))) kx)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))) (pow kx 6))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))))) kx)
(* -1 (/ (sin ky) kx))
(* -1 (/ (+ (sin ky) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))) kx))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2))))) kx))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))) (pow kx 6))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))))) kx))
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/8 (/ (pow kx 2) (pow (sin ky) 3))) (* 1/2 (/ 1 (sin ky))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (- (* 1/16 (/ (pow kx 2) (pow (sin ky) 5))) (* 1/8 (/ 1 (pow (sin ky) 3))))) (* 1/2 (/ 1 (sin ky))))))
kx
(* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))
(* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))
(* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))
(* -1 kx)
(* -1 (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))))
kx
(+ kx (* 1/2 (/ (pow ky 2) kx)))
(+ kx (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow kx 2))))) kx)) (* 1/2 (/ 1 kx)))))
(+ kx (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) kx)) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) (pow kx 2))))) kx)))) (* 1/2 (/ 1 kx)))))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
Outputs
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (sin.f64 ky)) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (*.f64 (*.f64 (*.f64 th th) #s(literal 1/120 binary64)) (sin.f64 ky)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(*.f64 th (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (sin.f64 ky)) (sin.f64 ky))) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 (*.f64 (*.f64 th th) #s(literal -1/5040 binary64)) (sin.f64 ky)) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)) (+.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (*.f64 (sin.f64 kx) #s(literal 1/2 binary64))))) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (sin.f64 th))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))) (+.f64 (*.f64 (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (*.f64 (sin.f64 kx) #s(literal -1/12 binary64))) (+.f64 (/.f64 (*.f64 #s(literal -1/240 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (sin.f64 kx))))))))))))
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(sin th)
(sin.f64 th)
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1
#s(literal 1 binary64)
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(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
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(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
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(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
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(sin th)
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(sin th)
(sin.f64 th)
(sin th)
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(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
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(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
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(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
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(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
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th
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1
#s(literal 1 binary64)
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(/ (* ky th) (sin kx))
(/.f64 (*.f64 th ky) (sin.f64 kx))
(* th (+ (* -1/6 (/ (* ky (pow th 2)) (sin kx))) (/ ky (sin kx))))
(*.f64 th (+.f64 (/.f64 ky (sin.f64 kx)) (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) ky) (sin.f64 kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (sin kx))) (* 1/120 (/ (* ky (pow th 2)) (sin kx))))) (/ ky (sin kx))))
(*.f64 th (+.f64 (/.f64 ky (sin.f64 kx)) (*.f64 (*.f64 th th) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 ky (sin.f64 kx))) (/.f64 (*.f64 (*.f64 (*.f64 th th) #s(literal 1/120 binary64)) ky) (sin.f64 kx))))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* ky (pow th 2)) (sin kx))) (* 1/120 (/ ky (sin kx))))))) (/ ky (sin kx))))
(*.f64 th (+.f64 (/.f64 ky (sin.f64 kx)) (*.f64 (*.f64 th th) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 ky (sin.f64 kx))) (*.f64 (*.f64 th th) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 th th) #s(literal -1/5040 binary64)) ky) (sin.f64 kx)) (/.f64 (*.f64 ky #s(literal 1/120 binary64)) (sin.f64 kx))))))))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/ ky (sin kx))
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(/ ky (sin kx))
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(/ ky kx)
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(/ (+ ky (* 1/6 (* (pow kx 2) ky))) kx)
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx)
(/ (+ ky (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 ky) (* 1/120 ky)))) (* -1/6 ky)))) kx)
(/.f64 (+.f64 ky (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (*.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx)
(/ (+ ky (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 ky) (+ (* 1/720 ky) (* 1/6 (+ (* -1/36 ky) (* 1/120 ky))))))) (+ (* -1/36 ky) (* 1/120 ky)))) (* -1/6 ky)))) kx)
(/.f64 (+.f64 ky (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (neg.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 (*.f64 ky #s(literal 1/840 binary64)) (*.f64 ky #s(literal -7/2160 binary64)))) (*.f64 ky #s(literal -7/360 binary64)))))) (*.f64 ky #s(literal 1/6 binary64))))) kx)
(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
(/ ky (sin kx))
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(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
(/ ky (sin kx))
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(/ ky (sin kx))
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(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
th
(* th (+ 1 (* -1/6 (pow th 2))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 (*.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 (*.f64 th th) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
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ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64)))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
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(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64)))))
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
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(/ th (sin ky))
(/.f64 th (sin.f64 ky))
(* th (+ (* -1/6 (/ (pow th 2) (sin ky))) (/ 1 (sin ky))))
(*.f64 th (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (sin.f64 ky))))
(* th (+ (* (pow th 2) (- (* 1/120 (/ (pow th 2) (sin ky))) (* 1/6 (/ 1 (sin ky))))) (/ 1 (sin ky))))
(*.f64 th (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (*.f64 th th) (+.f64 (/.f64 (*.f64 (*.f64 th th) #s(literal 1/120 binary64)) (sin.f64 ky)) (/.f64 #s(literal -1/6 binary64) (sin.f64 ky))))))
(* th (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/5040 (/ (pow th 2) (sin ky))) (* 1/120 (/ 1 (sin ky))))) (* 1/6 (/ 1 (sin ky))))) (/ 1 (sin ky))))
(*.f64 th (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (*.f64 th th) (+.f64 (*.f64 (*.f64 th th) (+.f64 (/.f64 (*.f64 (*.f64 th th) #s(literal -1/5040 binary64)) (sin.f64 ky)) (/.f64 #s(literal 1/120 binary64) (sin.f64 ky)))) (/.f64 #s(literal -1/6 binary64) (sin.f64 ky))))))
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/ (sin th) (sin ky))
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(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/ (sin th) ky)
(/.f64 (sin.f64 th) ky)
(/ (+ (sin th) (* 1/6 (* (pow ky 2) (sin th)))) ky)
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky)
(/ (+ (sin th) (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/36 (sin th)) (* 1/120 (sin th))))) (* -1/6 (sin th))))) ky)
(/.f64 (+.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (*.f64 ky ky) (*.f64 (sin.f64 th) #s(literal 7/360 binary64))) (*.f64 (sin.f64 th) #s(literal 1/6 binary64))))) ky)
(/ (+ (sin th) (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/5040 (sin th)) (+ (* 1/720 (sin th)) (* 1/6 (+ (* -1/36 (sin th)) (* 1/120 (sin th)))))))) (+ (* -1/36 (sin th)) (* 1/120 (sin th))))) (* -1/6 (sin th))))) ky)
(/.f64 (+.f64 (sin.f64 th) (*.f64 ky (*.f64 ky (+.f64 (*.f64 (*.f64 ky ky) (neg.f64 (+.f64 (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (sin.f64 th) #s(literal 1/840 binary64)) (*.f64 (sin.f64 th) #s(literal -7/2160 binary64)))) (*.f64 (sin.f64 th) #s(literal -7/360 binary64))))) (*.f64 (sin.f64 th) #s(literal 1/6 binary64)))))) ky)
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/ (* ky (sin th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (* -1/6 (/ (sin th) kx)))) (/ (sin th) kx)))
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) kx)))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))))) (/ (sin th) kx)))
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) kx) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) kx) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx (sin.f64 th))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64)))))))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (+ (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8)))))))) (+ (* -1/12 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* -1/240 (/ (sin th) (pow kx 3))) (* -1/5040 (/ (sin th) kx))))))))))))) (/ (sin th) kx)))
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) kx) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) kx) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx (sin.f64 th))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64)))))) (*.f64 ky (*.f64 ky (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))))) (*.f64 kx kx)) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 kx #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 8 binary64)))))) (*.f64 (sin.f64 th) kx))) (+.f64 (/.f64 (*.f64 #s(literal -1/240 binary64) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))) (+.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (sin.f64 th)) kx) (*.f64 (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))))) (*.f64 kx #s(literal -1/12 binary64))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+.f64 (sin.f64 th) (*.f64 (*.f64 kx kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 3/8 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 4))))))
(+.f64 (sin.f64 th) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 kx kx)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 6))) (* 3/8 (/ (sin th) (pow (sin ky) 4))))))))
(+.f64 (sin.f64 th) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 kx kx)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))))
(/ (* (sin ky) (sin th)) kx)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx)
(/.f64 (+.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (*.f64 kx kx))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sin.f64 ky) (/.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (*.f64 #s(literal -3/4 binary64) (sin.f64 th))) (pow.f64 kx #s(literal 4 binary64)))) (*.f64 (/.f64 (sin.f64 th) kx) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) kx)))) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx)
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sin.f64 ky) (/.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (*.f64 #s(literal -3/4 binary64) (sin.f64 th))) (pow.f64 kx #s(literal 4 binary64)))) (*.f64 (/.f64 (sin.f64 th) kx) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) kx)))) (*.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) (pow.f64 kx #s(literal 6 binary64)))) kx)
(* -1 (/ (* (sin ky) (sin th)) kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (-.f64 #s(literal 0 binary64) kx))
(* -1 (/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx))
(/.f64 (+.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (*.f64 kx kx))) (-.f64 #s(literal 0 binary64) kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sin.f64 ky) (/.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (*.f64 #s(literal -3/4 binary64) (sin.f64 th))) (pow.f64 kx #s(literal 4 binary64)))) (*.f64 (/.f64 (sin.f64 th) kx) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) kx)))) (*.f64 (sin.f64 ky) (sin.f64 th))) (-.f64 #s(literal 0 binary64) kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx))
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sin.f64 ky) (/.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (*.f64 #s(literal -3/4 binary64) (sin.f64 th))) (pow.f64 kx #s(literal 4 binary64)))) (*.f64 (/.f64 (sin.f64 th) kx) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) kx)))) (*.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) (pow.f64 kx #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) kx))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))) (+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (sin.f64 ky)) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (*.f64 (*.f64 (*.f64 th th) #s(literal 1/120 binary64)) (sin.f64 ky)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))))
(*.f64 th (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))) (+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (sin.f64 ky)) (sin.f64 ky))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))) (+.f64 (*.f64 (*.f64 (*.f64 th th) #s(literal -1/5040 binary64)) (sin.f64 ky)) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))) (*.f64 (*.f64 th th) (*.f64 th th)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(/ ky kx)
(/.f64 ky kx)
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx)))))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* 1/12 (/ 1 (pow kx 3)))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(*.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (-.f64 (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64)))) (*.f64 kx #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1/120 binary64) kx)))) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/12 (/ 1 (pow kx 3))) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* kx (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8))))))) (* -1/12 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* 1/5040 (/ 1 kx)) (* 1/240 (/ 1 (pow kx 3)))))))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(*.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (-.f64 (*.f64 ky (*.f64 ky (+.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64)))) (*.f64 kx #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1/120 binary64) kx))) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))))) (*.f64 kx kx)) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 kx #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 8 binary64)))))))) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64)))) (*.f64 kx #s(literal -1/12 binary64))) (+.f64 (/.f64 #s(literal 1/5040 binary64) kx) (/.f64 #s(literal 1/240 binary64) (*.f64 kx (*.f64 kx kx)))))))))) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+ 1 (* (pow kx 2) (- (* 3/8 (/ (pow kx 2) (pow (sin ky) 4))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -5/16 (/ (pow kx 2) (pow (sin ky) 6))) (* 3/8 (/ 1 (pow (sin ky) 4))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/ (sin ky) kx)
(/.f64 (sin.f64 ky) kx)
(/ (+ (sin ky) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))) kx)
(/.f64 (+.f64 (sin.f64 ky) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (*.f64 kx kx))) kx)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2))))) kx)
(/.f64 (+.f64 (sin.f64 ky) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (sin.f64 ky) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (*.f64 kx kx))))) kx)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))) (pow kx 6))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))))) kx)
(/.f64 (+.f64 (sin.f64 ky) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (sin.f64 ky) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 4 binary64))) (+.f64 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (pow.f64 (sin.f64 ky) #s(literal 7 binary64))) (pow.f64 kx #s(literal 6 binary64))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (*.f64 kx kx)))))) kx)
(* -1 (/ (sin ky) kx))
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 ky) kx))
(* -1 (/ (+ (sin ky) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))) kx))
(/.f64 (+.f64 (sin.f64 ky) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (*.f64 kx kx))) (-.f64 #s(literal 0 binary64) kx))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2))))) kx))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (sin.f64 ky) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (sin.f64 ky) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (*.f64 kx kx))))) kx))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))) (pow kx 6))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))))) kx))
(/.f64 (+.f64 (sin.f64 ky) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (sin.f64 ky) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 4 binary64))) (+.f64 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (pow.f64 (sin.f64 ky) #s(literal 7 binary64))) (pow.f64 kx #s(literal 6 binary64))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (*.f64 kx kx)))))) (-.f64 #s(literal 0 binary64) kx))
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+.f64 (sin.f64 ky) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky)))
(+ (sin ky) (* (pow kx 2) (+ (* -1/8 (/ (pow kx 2) (pow (sin ky) 3))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (- (* 1/16 (/ (pow kx 2) (pow (sin ky) 5))) (* 1/8 (/ 1 (pow (sin ky) 3))))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))))))
kx
(* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))
(*.f64 kx (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx))))
(* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))
(*.f64 kx (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx)) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 kx #s(literal 4 binary64))) #s(literal 1 binary64))))
(* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))
(*.f64 kx (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 kx #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 kx #s(literal 6 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx)))))
(* -1 kx)
(-.f64 #s(literal 0 binary64) kx)
(* -1 (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))
(-.f64 #s(literal 0 binary64) (*.f64 kx (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx)))))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))
(*.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx)) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 kx #s(literal 4 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) kx))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 kx #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 kx #s(literal 6 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx)))) (-.f64 #s(literal 0 binary64) kx))
kx
(+ kx (* 1/2 (/ (pow ky 2) kx)))
(+.f64 kx (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))
(+ kx (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow kx 2))))) kx)) (* 1/2 (/ 1 kx)))))
(+.f64 kx (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx))))) kx))))
(+ kx (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) kx)) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) (pow kx 2))))) kx)))) (* 1/2 (/ 1 kx)))))
(+.f64 kx (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx)))) kx) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky 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 kx kx))) (*.f64 kx kx))))) kx))))))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) kx)
(sin kx)
(sin.f64 kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+.f64 (sin.f64 kx) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx)))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) (sin.f64 kx)))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (-.f64 #s(literal 2/45 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+.f64 (sin.f64 ky) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky)))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky)))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(+.f64 (sin.f64 ky) (*.f64 kx (*.f64 kx (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (+.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) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 ky))))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))

eval173.0ms (1.3%)

Compiler

Compiled 21830 to 2756 computations (87.4% saved)

prune293.0ms (2.1%)

Pruning

102 alts after pruning (91 fresh and 11 done)

PrunedKeptTotal
New1196491245
Fresh144256
Picked145
Done077
Total12111021313
Accuracy
100.0%
Counts
1313 → 102
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.4%
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
99.5%
(/.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
13.7%
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 ky)))
10.5%
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
14.8%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
2.6%
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky))
93.5%
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
39.6%
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
26.2%
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
17.3%
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
15.9%
(/.f64 (*.f64 th ky) (sin.f64 kx))
17.3%
(/.f64 (*.f64 ky (sin.f64 th)) kx)
99.7%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
57.5%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
14.8%
(/.f64 (sin.f64 th) (/.f64 (/.f64 kx (sin.f64 ky)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64))))
75.5%
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) (sin.f64 ky)))
99.6%
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
99.5%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
33.8%
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
49.2%
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
49.2%
(/.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
92.8%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))
50.8%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
33.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky)))
31.5%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))
15.7%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
39.5%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky))))
14.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th)))
15.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th)))
28.5%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
33.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
30.1%
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)))
3.3%
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
18.6%
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) (sin.f64 th))
20.4%
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))) (*.f64 ky ky)) (sin.f64 th))
14.9%
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 kx #s(literal 1/6 binary64)) kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
11.1%
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th)
13.7%
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
28.9%
(*.f64 (/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
15.7%
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) (sin.f64 kx)) (sin.f64 th))
99.7%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
49.2%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
57.5%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
32.1%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 (*.f64 th th) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))
57.0%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
33.2%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th)
36.6%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th))
20.9%
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))) (sin.f64 th))
17.9%
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx))))) kx))))) (sin.f64 th))
32.0%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
21.2%
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
31.8%
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th))
28.6%
(*.f64 (/.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 kx)) (sin.f64 th))
20.3%
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th))
20.3%
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th))
20.1%
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th))
29.4%
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky)))
18.7%
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
29.4%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
20.5%
(*.f64 (/.f64 ky kx) (sin.f64 th))
31.9%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
33.7%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 (sin.f64 th) (sin.f64 ky)))
28.7%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
15.7%
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
31.1%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
15.5%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
13.5%
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th))
39.5%
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
26.2%
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
11.0%
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx))
42.7%
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
26.2%
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) kx)))
23.8%
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 ky (sin.f64 kx))))
35.7%
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))))
16.7%
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
16.3%
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) (sin.f64 th))
13.2%
(*.f64 (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) (sin.f64 th))
13.9%
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th)))
9.0%
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx)) (sin.f64 th))
20.4%
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
32.3%
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) kx)))
29.9%
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 ky (sin.f64 kx))))
35.8%
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))))))))
99.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
33.8%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
32.0%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
20.8%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
49.1%
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
33.7%
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
33.7%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
31.9%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
15.0%
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
14.7%
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
15.5%
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
15.5%
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
15.0%
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
8.0%
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))))
11.8%
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
20.7%
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
29.4%
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
33.9%
(sin.f64 th)
15.9%
th
Compiler

Compiled 4022 to 1654 computations (58.9% saved)

regimes534.0ms (3.9%)

Counts
143 → 1
Calls
Call 1
Inputs
th
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))))
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th)))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th)))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky))
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))))
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th)
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx)) (sin.f64 th))
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 kx #s(literal 1/6 binary64)) kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (/.f64 kx (sin.f64 ky)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx))))) kx))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th)
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 kx)))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 (*.f64 th th) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (*.f64 (sin.f64 ky) th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))))))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))))))))
(*.f64 (/.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (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 (/.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) th)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (sin.f64 ky)))
(*.f64 (exp.f64 (log.f64 (sin.f64 ky))) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sin.f64 kx))))
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (exp.f64 (log.f64 (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 kx) (sin.f64 ky))) (sin.f64 th))
Calls

9 calls:

72.0ms
th
72.0ms
(sin.f64 th)
61.0ms
(sin.f64 kx)
59.0ms
ky
55.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
99.7%1kx
99.7%1ky
99.7%1th
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%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(sin.f64 ky)
99.7%1(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
99.7%1(sin.f64 kx)
99.7%1(sin.f64 th)
Compiler

Compiled 69 to 51 computations (26.1% saved)

regimes260.0ms (1.9%)

Counts
118 → 1
Calls
Call 1
Inputs
th
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))))
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th)))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th)))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky))
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))))
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th)
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx)) (sin.f64 th))
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 kx #s(literal 1/6 binary64)) kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (/.f64 kx (sin.f64 ky)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx))))) kx))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th)
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 kx)))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 (*.f64 th th) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (*.f64 (sin.f64 ky) th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))))))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))))))))
(*.f64 (/.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
Outputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
Calls

6 calls:

60.0ms
(sin.f64 th)
41.0ms
(sin.f64 kx)
36.0ms
kx
36.0ms
th
36.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
99.6%1kx
99.6%1ky
99.6%1th
99.6%1(sin.f64 ky)
99.6%1(sin.f64 kx)
99.6%1(sin.f64 th)
Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes283.0ms (2%)

Counts
117 → 3
Calls
Call 1
Inputs
th
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))))
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th)))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th)))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky))
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))))
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th)
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx)) (sin.f64 th))
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 kx #s(literal 1/6 binary64)) kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (/.f64 kx (sin.f64 ky)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx))))) kx))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th)
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 kx)))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 (*.f64 th th) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (*.f64 (sin.f64 ky) th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))))))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))))))))
(*.f64 (/.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 kx)) (sin.f64 th))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
Calls

6 calls:

56.0ms
(sin.f64 ky)
54.0ms
(sin.f64 kx)
45.0ms
(sin.f64 th)
39.0ms
ky
38.0ms
kx
Results
AccuracySegmentsBranch
77.7%2kx
80.8%3ky
76.5%2th
80.7%3(sin.f64 ky)
79.6%3(sin.f64 kx)
79.1%4(sin.f64 th)
Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes48.0ms (0.4%)

Counts
102 → 3
Calls
Call 1
Inputs
th
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))))
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th)))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th)))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky))
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))))
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th)
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx)) (sin.f64 th))
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 kx #s(literal 1/6 binary64)) kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (/.f64 kx (sin.f64 ky)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx))))) kx))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th)
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 kx)))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 (*.f64 th th) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
Outputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
Calls

1 calls:

34.0ms
ky
Results
AccuracySegmentsBranch
80.8%3ky
Compiler

Compiled 4 to 3 computations (25% saved)

regimes80.0ms (0.6%)

Counts
101 → 3
Calls
Call 1
Inputs
th
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))))
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th)))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th)))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky))
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))))
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th)
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx)) (sin.f64 th))
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 kx #s(literal 1/6 binary64)) kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (/.f64 kx (sin.f64 ky)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx))))) kx))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th)
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 kx)))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 (*.f64 th th) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
Outputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
Calls

1 calls:

66.0ms
ky
Results
AccuracySegmentsBranch
80.7%3ky
Compiler

Compiled 4 to 3 computations (25% saved)

regimes111.0ms (0.8%)

Counts
100 → 3
Calls
Call 1
Inputs
th
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))))
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th)))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th)))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky))
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))))
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th)
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx)) (sin.f64 th))
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 kx #s(literal 1/6 binary64)) kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (/.f64 kx (sin.f64 ky)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx))))) kx))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th)
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 kx)))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 (*.f64 th th) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
Outputs
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(sin.f64 th)
Calls

2 calls:

49.0ms
(sin.f64 ky)
49.0ms
ky
Results
AccuracySegmentsBranch
80.6%3(sin.f64 ky)
77.4%3ky
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes219.0ms (1.6%)

Counts
99 → 3
Calls
Call 1
Inputs
th
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))))
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th)))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th)))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky))
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))))
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th)
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx)) (sin.f64 th))
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 kx #s(literal 1/6 binary64)) kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (/.f64 kx (sin.f64 ky)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx))))) kx))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th)
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 kx)))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 (*.f64 th th) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
Outputs
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(sin.f64 th)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
Calls

6 calls:

47.0ms
th
40.0ms
ky
31.0ms
(sin.f64 kx)
30.0ms
(sin.f64 ky)
28.0ms
kx
Results
AccuracySegmentsBranch
55.3%2ky
66.7%3(sin.f64 th)
68.8%3th
58.6%2kx
63.5%4(sin.f64 kx)
60.1%3(sin.f64 ky)
Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes193.0ms (1.4%)

Counts
98 → 4
Calls
Call 1
Inputs
th
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))))
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th)))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th)))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky))
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))))
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th)
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx)) (sin.f64 th))
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 kx #s(literal 1/6 binary64)) kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (/.f64 kx (sin.f64 ky)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx))))) kx))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th)
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 kx)))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 (*.f64 th th) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))))
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th))
Outputs
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
Calls

6 calls:

34.0ms
kx
30.0ms
th
30.0ms
(sin.f64 th)
30.0ms
(sin.f64 kx)
28.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
49.9%2ky
54.5%3(sin.f64 ky)
54.6%3kx
58.2%4(sin.f64 kx)
50.6%3(sin.f64 th)
52.5%3th
Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes41.0ms (0.3%)

Counts
94 → 4
Calls
Call 1
Inputs
th
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))))
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th)))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th)))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky))
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))))
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th)
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx)) (sin.f64 th))
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 kx #s(literal 1/6 binary64)) kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (/.f64 kx (sin.f64 ky)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx))))) kx))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th)
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 kx)))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) kx)))
Outputs
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
Calls

1 calls:

28.0ms
(sin.f64 kx)
Results
AccuracySegmentsBranch
58.2%4(sin.f64 kx)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes69.0ms (0.5%)

Counts
92 → 3
Calls
Call 1
Inputs
th
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))))
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th)))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th)))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky))
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))))
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th)
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx)) (sin.f64 th))
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 kx #s(literal 1/6 binary64)) kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (/.f64 kx (sin.f64 ky)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx))))) kx))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th)
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 kx)))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 ky)))
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
Calls

2 calls:

28.0ms
kx
28.0ms
(sin.f64 kx)
Results
AccuracySegmentsBranch
54.5%3kx
55.7%4(sin.f64 kx)
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes37.0ms (0.3%)

Counts
89 → 3
Calls
Call 1
Inputs
th
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))))
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th)))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th)))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky))
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))))
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th)
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx)) (sin.f64 th))
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 kx #s(literal 1/6 binary64)) kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (/.f64 kx (sin.f64 ky)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx))))) kx))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th)
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Outputs
(sin.f64 th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
Calls

1 calls:

26.0ms
kx
Results
AccuracySegmentsBranch
54.5%3kx
Compiler

Compiled 4 to 3 computations (25% saved)

regimes56.0ms (0.4%)

Counts
74 → 2
Calls
Call 1
Inputs
th
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))))
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th)))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th)))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky))
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))))
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th)
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx)) (sin.f64 th))
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 kx #s(literal 1/6 binary64)) kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (/.f64 kx (sin.f64 ky)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx))))) kx))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th))
Outputs
(sin.f64 th)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
Calls

2 calls:

23.0ms
kx
22.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
50.5%2(sin.f64 ky)
52.8%2kx
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes82.0ms (0.6%)

Counts
67 → 2
Calls
Call 1
Inputs
th
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))))
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th)))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th)))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky))
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))))
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th)
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx)) (sin.f64 th))
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 kx #s(literal 1/6 binary64)) kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (/.f64 kx (sin.f64 ky)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx))))) kx))))) (sin.f64 th))
Outputs
(sin.f64 th)
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
Calls

3 calls:

25.0ms
th
24.0ms
kx
19.0ms
(sin.f64 kx)
Results
AccuracySegmentsBranch
41.9%3th
51.2%3(sin.f64 kx)
50.5%2kx
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes91.0ms (0.7%)

Counts
40 → 2
Calls
Call 1
Inputs
th
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))))
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th)))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th)))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky))
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))))
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th)
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) (sin.f64 th))
Outputs
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th))
(sin.f64 th)
Calls

5 calls:

31.0ms
(sin.f64 ky)
20.0ms
(sin.f64 kx)
12.0ms
kx
12.0ms
ky
12.0ms
(sin.f64 th)
Results
AccuracySegmentsBranch
39.2%3(sin.f64 th)
42.7%3(sin.f64 kx)
42.9%2ky
43.0%2(sin.f64 ky)
43.3%3kx
Compiler

Compiled 23 to 18 computations (21.7% saved)

regimes29.0ms (0.2%)

Counts
36 → 2
Calls
Call 1
Inputs
th
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))))
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th)))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th)))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky))
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))))
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th)
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) (sin.f64 th))
Outputs
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th))
(sin.f64 th)
Calls

2 calls:

13.0ms
(sin.f64 ky)
11.0ms
ky
Results
AccuracySegmentsBranch
42.9%2ky
42.9%2(sin.f64 ky)
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes25.0ms (0.2%)

Counts
32 → 2
Calls
Call 1
Inputs
th
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))))
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th)))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th)))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky))
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))))
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th)
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
Outputs
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th))
(sin.f64 th)
Calls

2 calls:

11.0ms
ky
10.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
42.8%2ky
42.9%2(sin.f64 ky)
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes48.0ms (0.3%)

Counts
28 → 2
Calls
Call 1
Inputs
th
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))))
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th)))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th)))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky))
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))))
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
Outputs
(*.f64 (/.f64 ky kx) (sin.f64 th))
(sin.f64 th)
Calls

2 calls:

36.0ms
(sin.f64 ky)
9.0ms
ky
Results
AccuracySegmentsBranch
42.8%2ky
42.7%2(sin.f64 ky)
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes31.0ms (0.2%)

Counts
16 → 2
Calls
Call 1
Inputs
th
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))))
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th)))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th)))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(sin.f64 th)
Outputs
(sin.f64 th)
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
Calls

3 calls:

17.0ms
kx
5.0ms
th
5.0ms
ky
Results
AccuracySegmentsBranch
36.2%2th
38.4%2kx
37.4%2ky
Compiler

Compiled 12 to 9 computations (25% saved)

regimes18.0ms (0.1%)

Counts
15 → 2
Calls
Call 1
Inputs
th
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))))
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th)))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th)))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
Outputs
th
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
Calls

3 calls:

7.0ms
kx
5.0ms
ky
5.0ms
th
Results
AccuracySegmentsBranch
18.2%2th
20.9%2ky
22.2%2kx
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
th
Outputs
th
Calls

3 calls:

1.0ms
ky
1.0ms
kx
1.0ms
th
Results
AccuracySegmentsBranch
15.9%1th
15.9%1ky
15.9%1kx
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch66.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
29.0ms
6.690394623577958e+162
3.386888958137079e+165
32.0ms
6.317266591111542e-5
2886332.637939699
Results
50.0ms288×0valid
Compiler

Compiled 529 to 352 computations (33.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-sin: 20.0ms (50.6% of total)
ival-pow: 7.0ms (17.7% of total)
ival-add: 5.0ms (12.6% of total)
ival-div: 2.0ms (5.1% of total)
ival-mult: 2.0ms (5.1% of total)
ival-sqrt: 2.0ms (5.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch67.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
33.0ms
6.690394623577958e+162
3.386888958137079e+165
29.0ms
6.317266591111542e-5
2886332.637939699
Results
52.0ms288×0valid
Compiler

Compiled 529 to 352 computations (33.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-sin: 19.0ms (55% of total)
ival-pow: 6.0ms (17.4% of total)
ival-mult: 4.0ms (11.6% of total)
ival-div: 2.0ms (5.8% of total)
ival-sqrt: 2.0ms (5.8% of total)
ival-add: 1.0ms (2.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch86.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
2.6579337734307518e+162
6.690394623577958e+162
59.0ms
6.317266591111542e-5
2886332.637939699
Results
74.0ms240×0valid
Compiler

Compiled 445 to 298 computations (33% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-pow: 36.0ms (55.1% of total)
ival-sin: 23.0ms (35.2% of total)
ival-div: 2.0ms (3.1% of total)
ival-mult: 2.0ms (3.1% of total)
ival-sqrt: 2.0ms (3.1% of total)
ival-add: 1.0ms (1.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.317266586909733e-5
0.0167238392088911
0.0ms
-0.017588307476204282
1.842584983697553e-308
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch63.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
30.0ms
1.354164735755252e+272
7.073867711573596e+279
27.0ms
366329.8266852196
11162146918.843483
Results
48.0ms272×0valid
Compiler

Compiled 347 to 256 computations (26.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-sin: 23.0ms (63% of total)
ival-pow: 6.0ms (16.4% of total)
ival-div: 2.0ms (5.5% of total)
ival-mult: 2.0ms (5.5% of total)
ival-sqrt: 2.0ms (5.5% of total)
ival-add: 1.0ms (2.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.1133112267873726e-51
6.391759076545119e-42
0.0ms
1.1661466161150047e-117
1.4654821112360613e-114
0.0ms
-0.047968641478542996
-0.02958019419157391
Compiler

Compiled 25 to 18 computations (28% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.1133112267873726e-51
6.391759076545119e-42
0.0ms
1.1661466161150047e-117
1.4654821112360613e-114
0.0ms
-0.047968641478542996
-0.02958019419157391
Compiler

Compiled 25 to 18 computations (28% saved)

bsearch55.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
5.1133112267873726e-51
6.391759076545119e-42
25.0ms
1.1661466161150047e-117
1.4654821112360613e-114
Results
41.0ms272×0valid
Compiler

Compiled 514 to 347 computations (32.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-sin: 18.0ms (56.9% of total)
ival-pow: 6.0ms (19% of total)
ival-div: 2.0ms (6.3% of total)
ival-mult: 2.0ms (6.3% of total)
ival-sqrt: 2.0ms (6.3% of total)
ival-add: 1.0ms (3.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch54.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
5.1133112267873726e-51
6.391759076545119e-42
26.0ms
1.1661466161150047e-117
1.4654821112360613e-114
Results
41.0ms272×0valid
Compiler

Compiled 402 to 275 computations (31.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-sin: 14.0ms (48.7% of total)
ival-pow: 7.0ms (24.3% of total)
ival-div: 2.0ms (7% of total)
ival-mult: 2.0ms (7% of total)
ival-sqrt: 2.0ms (7% of total)
ival-add: 1.0ms (3.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch29.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
6.0324538843385554e-114
3.274092039402646e-113
Results
13.0ms96×0valid
Compiler

Compiled 133 to 102 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sin: 5.0ms (52.4% of total)
ival-pow: 2.0ms (21% of total)
ival-div: 1.0ms (10.5% of total)
ival-mult: 1.0ms (10.5% of total)
ival-sqrt: 1.0ms (10.5% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
3.274092039402646e-113
6.027721066340175e-109
Results
17.0ms128×0valid
Compiler

Compiled 161 to 122 computations (24.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sin: 6.0ms (47.9% of total)
ival-pow: 3.0ms (23.9% of total)
ival-div: 1.0ms (8% of total)
ival-add: 1.0ms (8% of total)
ival-mult: 1.0ms (8% of total)
ival-sqrt: 1.0ms (8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.136515905950042e-161
1.4853309231627523e-158
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.136515905950042e-161
1.4853309231627523e-158
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.136515905950042e-161
1.4853309231627523e-158
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch26.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
7.136515905950042e-161
1.4853309231627523e-158
Results
20.0ms112×0valid
Compiler

Compiled 137 to 102 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 6.0ms (36.6% of total)
ival-sin: 6.0ms (36.6% of total)
ival-pow: 2.0ms (12.2% of total)
ival-div: 1.0ms (6.1% of total)
ival-add: 1.0ms (6.1% of total)
ival-sqrt: 1.0ms (6.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch38.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
36.0ms
9.542532467523215e+39
1.6623291270999584e+50
Results
28.0ms160×0valid
Compiler

Compiled 195 to 148 computations (24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-sin: 14.0ms (62.3% of total)
ival-pow: 4.0ms (17.8% of total)
ival-div: 1.0ms (4.4% of total)
ival-add: 1.0ms (4.4% of total)
ival-mult: 1.0ms (4.4% of total)
ival-sqrt: 1.0ms (4.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
4.428635033294199e-55
5.1133112267873726e-51
Results
17.0ms128×0valid
Compiler

Compiled 153 to 114 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sin: 6.0ms (47.4% of total)
ival-pow: 3.0ms (23.7% of total)
ival-div: 1.0ms (7.9% of total)
ival-add: 1.0ms (7.9% of total)
ival-mult: 1.0ms (7.9% of total)
ival-sqrt: 1.0ms (7.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify19.0ms (0.1%)

Algorithm
egg-herbie
Rules
74×*-commutative_binary64
20×+-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156536
1206536
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 ky #s(literal 7839866231326559/576460752303423488 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) (if (<=.f64 ky #s(literal 87999999999999994530794688154242977047646214030629182713063827801196355581648120219371283732835789362271198206726690744280062384263961141547143113021736523308990464 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(if (<=.f64 ky #s(literal 1080863910568919/144115188075855872 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (if (<=.f64 ky #s(literal 560000000000000041916058569911007659646427608682677201887954131051035084488765841149134931534423994200186777476639442505688874412278007906556724649781768472080941056 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(if (<=.f64 ky #s(literal 4496393867966703/2305843009213693952 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (if (<=.f64 ky #s(literal 4800000000000000181180287591495114579175855261537390892788156229768460894601861010422805468143405942966537332737458992564692750298818793552471415958048069772115968 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 ky) #s(literal 7378697629483821/73786976294838206464 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 th #s(literal 380000 binary64)) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 th #s(literal 108000000000000006115479829319529255488381779345998785285137268540383277662873750106213453775403662917952552116883910711741896888171718167723167908575952363339965490968247429769036955193650215572248514139981345059037963836536901684868193051237604406199707703529065480724676608 binary64)) (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 ky (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 5678427533559429/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th)) (if (<=.f64 (sin.f64 kx) #s(literal 8424983333484575/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 ky (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 5678427533559429/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th)) (if (<=.f64 (sin.f64 kx) #s(literal 8424983333484575/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(if (<=.f64 kx #s(literal 3549017208474643/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th)) (if (<=.f64 kx #s(literal 7713302612443153/12855504354071922204335696738729300820177623950262342682411008 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 kx #s(literal 1663601816472489/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) (sin.f64 th) (if (<=.f64 kx #s(literal 8741742960768907/102844034832575377634685573909834406561420991602098741459288064 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 kx #s(literal 4678880108828875/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))
(if (<=.f64 kx #s(literal 5923061480360627/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) (sin.f64 th) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(if (<=.f64 (sin.f64 ky) #s(literal 1582914569427869/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704 binary64)) (*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 1582914569427869/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704 binary64)) (*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 1582914569427869/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704 binary64)) (*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 ky #s(literal 7281407019368197/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) (*.f64 (/.f64 ky kx) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 kx #s(literal 30999999999999997505563309703544737443677732864 binary64)) (sin.f64 th) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(if (<=.f64 kx #s(literal 336999333339383/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) th (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
th
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 ky #s(literal 7839866231326559/576460752303423488 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) (if (<=.f64 ky #s(literal 87999999999999994530794688154242977047646214030629182713063827801196355581648120219371283732835789362271198206726690744280062384263961141547143113021736523308990464 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(if (<=.f64 ky #s(literal 7839866231326559/576460752303423488 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky))) (if (<=.f64 ky #s(literal 87999999999999994530794688154242977047646214030629182713063827801196355581648120219371283732835789362271198206726690744280062384263961141547143113021736523308990464 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky)))) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(if (<=.f64 ky #s(literal 1080863910568919/144115188075855872 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (if (<=.f64 ky #s(literal 560000000000000041916058569911007659646427608682677201887954131051035084488765841149134931534423994200186777476639442505688874412278007906556724649781768472080941056 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(if (<=.f64 ky #s(literal 1080863910568919/144115188075855872 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (if (<=.f64 ky #s(literal 560000000000000041916058569911007659646427608682677201887954131051035084488765841149134931534423994200186777476639442505688874412278007906556724649781768472080941056 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky)))) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(if (<=.f64 ky #s(literal 4496393867966703/2305843009213693952 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (if (<=.f64 ky #s(literal 4800000000000000181180287591495114579175855261537390892788156229768460894601861010422805468143405942966537332737458992564692750298818793552471415958048069772115968 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 ky) #s(literal 7378697629483821/73786976294838206464 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 th #s(literal 380000 binary64)) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 th #s(literal 108000000000000006115479829319529255488381779345998785285137268540383277662873750106213453775403662917952552116883910711741896888171718167723167908575952363339965490968247429769036955193650215572248514139981345059037963836536901684868193051237604406199707703529065480724676608 binary64)) (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 ky (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 5678427533559429/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th)) (if (<=.f64 (sin.f64 kx) #s(literal 8424983333484575/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 ky (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 5678427533559429/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky))) (if (<=.f64 (sin.f64 kx) #s(literal 8424983333484575/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky)))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 ky (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 5678427533559429/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th)) (if (<=.f64 (sin.f64 kx) #s(literal 8424983333484575/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (hypot.f64 ky (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 5678427533559429/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky))) (if (<=.f64 (sin.f64 kx) #s(literal 8424983333484575/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky)))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(if (<=.f64 kx #s(literal 3549017208474643/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th)) (if (<=.f64 kx #s(literal 7713302612443153/12855504354071922204335696738729300820177623950262342682411008 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 kx #s(literal 3549017208474643/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky))))) (if (<=.f64 kx #s(literal 7713302612443153/12855504354071922204335696738729300820177623950262342682411008 binary64)) (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky)))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 kx #s(literal 1663601816472489/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) (sin.f64 th) (if (<=.f64 kx #s(literal 8741742960768907/102844034832575377634685573909834406561420991602098741459288064 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 kx #s(literal 1663601816472489/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) (sin.f64 th) (if (<=.f64 kx #s(literal 8741742960768907/102844034832575377634685573909834406561420991602098741459288064 binary64)) (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky)))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 kx #s(literal 4678880108828875/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))
(if (<=.f64 kx #s(literal 5923061480360627/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) (sin.f64 th) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(if (<=.f64 (sin.f64 ky) #s(literal 1582914569427869/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704 binary64)) (*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 1582914569427869/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704 binary64)) (*.f64 (sin.f64 th) (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/5040 binary64)))))))))) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 1582914569427869/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704 binary64)) (*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 1582914569427869/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704 binary64)) (*.f64 (sin.f64 th) (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/120 binary64))))))))) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 1582914569427869/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704 binary64)) (*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 1582914569427869/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704 binary64)) (*.f64 (sin.f64 th) (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))) (sin.f64 th))
(if (<=.f64 ky #s(literal 7281407019368197/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) (*.f64 (/.f64 ky kx) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 ky #s(literal 7281407019368197/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) (*.f64 (sin.f64 th) (/.f64 ky kx)) (sin.f64 th))
(if (<=.f64 kx #s(literal 30999999999999997505563309703544737443677732864 binary64)) (sin.f64 th) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(if (<=.f64 kx #s(literal 336999333339383/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) th (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
th

soundness2.9s (20.9%)

Rules
9534×*-lowering-*.f32
9534×*-lowering-*.f64
5902×+-lowering-+.f64
5902×+-lowering-+.f32
5848×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07675663
127225303
092515303
06508007
123517245
272607238
080287238
034161
1180157
21474151
08720151
028103
116299
2120597
0849797
030122
1165119
21145113
08446113
01316
11911
22711
32811
02811
07247917
126697285
274367285
082987285
04054445
114124111
258444111
081174111
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
saturated
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1891 to 1061 computations (43.9% saved)

preprocess150.0ms (1.1%)

Remove

(negabs th)

(negabs ky)

(abs kx)

Compiler

Compiled 1284 to 446 computations (65.3% saved)

end0.0ms (0%)

Profiling

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