Toniolo and Linder, Equation (3b), real

Time bar (total: 14.4s)

analyze278.0ms (1.9%)

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

Compiled 20 to 14 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 144.0ms
ival-sin: 54.0ms (37.6% of total)
ival-pow: 42.0ms (29.2% of total)
ival-mult: 19.0ms (13.2% of total)
ival-sqrt: 11.0ms (7.7% of total)
ival-add: 8.0ms (5.6% of total)
ival-div: 7.0ms (4.9% of total)
const: 2.0ms (1.4% of total)
backward-pass: 1.0ms (0.7% of total)

sample1.8s (12.3%)

Results
1.5s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-sin: 665.0ms (58.5% of total)
ival-pow: 213.0ms (18.7% of total)
ival-mult: 70.0ms (6.2% of total)
ival-sqrt: 68.0ms (6% of total)
ival-div: 58.0ms (5.1% of total)
ival-add: 47.0ms (4.1% of total)
const: 13.0ms (1.1% of total)
backward-pass: 3.0ms (0.3% of total)
Bogosity

preprocess132.0ms (0.9%)

Algorithm
2×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
2237113
3425113
41033113
52834113
64710113
76190113
87073113
97222113
107333113
117365113
127365113
01316
11911
22911
33011
03011
Stop Event
1×iter limit
1×saturated
1×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)

explain193.0ms (1.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
130-2(2.161832136481303e-159 6.945243728717151e-180 1.3003861287762645e+230)(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
058(2.2800293099419987e-112 3.924750527503534e+275 2.857246444594084e-81)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)))
066(4.284892549087152e+143 1.1981175348226866e-89 3.615623237253262e-197)0-(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
Results
125.0ms512×0valid
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 (55.7% of total)
ival-pow: 11.0ms (16.1% of total)
ival-div: 9.0ms (13.2% of total)
ival-sqrt: 4.0ms (5.9% of total)
ival-add: 3.0ms (4.4% of total)
ival-mult: 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
▶95.1%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
▶99.6%
(*.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)

simplify6.0ms (0%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01980
13180
23580
03580
Stop Event
1×iter limit
1×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

localize117.0ms (0.8%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
✓accuracy99.6%
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓accuracy99.6%
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
✓accuracy95.4%
(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))
✓accuracy99.6%
(/.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
88.0ms256×0valid
Compiler

Compiled 103 to 17 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-sin: 19.0ms (37.9% of total)
compiled-spec: 8.0ms (16% of total)
ival-pow: 7.0ms (14% of total)
ival-mult: 6.0ms (12% of total)
ival-sqrt: 4.0ms (8% of total)
ival-div: 3.0ms (6% of total)
ival-add: 3.0ms (6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series38.0ms (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 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<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 (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))>
#<alt (sin kx)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin ky) 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 (sin ky)>
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ ky (sin kx))>
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (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 kx 2)>
#<alt (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))>
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))>
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
Calls

60 calls:

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

rewrite212.0ms (1.5%)

Algorithm
1×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
01960
110360
276460
0983460
Stop Event
1×iter limit
1×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)
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
(/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
(sin kx)
(pow (sin kx) 2)
(pow (sin ky) 2)
Outputs
(neg.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) (sin.f64 ky)))
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (sin.f64 th)))
(neg.f64 (*.f64 (sin.f64 ky) (neg.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))))
(neg.f64 (*.f64 (sin.f64 th) (/.f64 (-.f64 #s(literal 0 binary64) (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 ky) (/.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))) (/.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 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (/.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 ky) #s(literal -1 binary64)) (neg.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))))
(*.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 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 (sqrt.f64 (sin.f64 ky)) #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 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 ky)))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 ky)) #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) (neg.f64 (/.f64 (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)))) (neg.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))))
(neg.f64 (neg.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (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) (neg.f64 (/.f64 (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)))
(exp.f64 (*.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)))
(hypot.f64 (sin.f64 ky) (sin.f64 ky))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(sqrt.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))))))))
(neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.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))))))))))
(/.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 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (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 4 binary64)))) (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.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)))))))) (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (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 4 binary64)))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #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 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (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 4 binary64)))))
(/.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (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 4 binary64))) (sqrt.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)))))))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (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 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (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 4 binary64)))) (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (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 -2 binary64))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #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 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (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 4 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (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 4 binary64)))) (neg.f64 (sqrt.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))))))))))
(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 1/2 binary64))
(pow.f64 (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)) #s(literal 2 binary64))
(pow.f64 (*.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))))))) (-.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))
(pow.f64 (exp.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 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))
(*.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #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 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (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 4 binary64)))) #s(literal 1/2 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.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 (+.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)))))) #s(literal 1/4 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 (+.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)))))) #s(literal 1/4 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 kx ky)) (cos.f64 (+.f64 kx ky))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 ky kx)) (cos.f64 (+.f64 ky kx))) #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 (+.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)))))) #s(literal 1/4 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 (+.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)))))) #s(literal 1/4 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))

simplify309.0ms (2.1%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
04054436
114143702
258293687
081073687
Stop Event
1×iter limit
1×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)
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ ky (sin kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
1
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(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 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)
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
Outputs
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(*.f64 ky (+.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 (*.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 (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 (*.f64 ky 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 (*.f64 ky ky) (+.f64 (+.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))))))) (*.f64 ky (*.f64 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)))))))))))))
(* (* (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 #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 (*.f64 th (*.f64 th #s(literal 1/120 binary64))) (sin.f64 ky)) (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(*.f64 th (+.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 (sqrt.f64 (/.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 th (*.f64 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 (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 kx kx) (*.f64 (sin.f64 th) #s(literal -1/2 binary64))) (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 (sin.f64 th) (*.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) (*.f64 kx kx))))))
(+ (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 kx (*.f64 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 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 th) (*.f64 (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 (*.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 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 #s(literal -1/6 binary64) (*.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)))))))
(* 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 th (*.f64 th #s(literal 1/120 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))))) (* (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 #s(literal -1/6 binary64) (*.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)))))) (*.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 th (*.f64 th #s(literal -1/5040 binary64))))) (*.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 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (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 ky ky) (*.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)))))))))
(+ (* (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 kx kx) (*.f64 (sin.f64 th) #s(literal -1/2 binary64))) (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 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (*.f64 (*.f64 kx kx) (*.f64 (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 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)))
(+.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 kx (*.f64 kx (+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))))))) (*.f64 (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 ky))))))))))
(* (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 #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 th (*.f64 th #s(literal 1/120 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 th (*.f64 th (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 th th) (+.f64 #s(literal 1/120 binary64) (*.f64 th (*.f64 th #s(literal -1/5040 binary64))))))))))
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+.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 (*.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (*.f64 kx (*.f64 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 (+.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))))) (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 ky ky) #s(literal 1/2 binary64)) (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 (*.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))))) (*.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 ky (*.f64 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 ky ky) #s(literal 1/2 binary64)) (/.f64 (-.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 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))
(/ (* 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 (*.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 (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 (*.f64 ky 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 (*.f64 ky ky) (+.f64 (+.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))))))) (*.f64 ky (*.f64 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)))))))))))))
(* (* (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 kx kx) (*.f64 (sin.f64 th) #s(literal -1/2 binary64))) (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 (sin.f64 th) (*.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) (*.f64 kx kx))))))
(+ (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 kx (*.f64 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 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 th) (*.f64 (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 #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 (*.f64 th (*.f64 th #s(literal 1/120 binary64))) (sin.f64 ky)) (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(*.f64 th (+.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 (sqrt.f64 (/.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 th (*.f64 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 (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 ky (*.f64 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 (+.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 #s(literal 1/120 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))))
(* 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 (*.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 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 (*.f64 ky 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 (*.f64 kx kx) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.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) (*.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 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))))))) (*.f64 (+.f64 (/.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 kx)
(sin.f64 kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+.f64 (sin.f64 kx) (/.f64 (*.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (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 (*.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))))) (*.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 ky (*.f64 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 ky ky) #s(literal 1/2 binary64)) (/.f64 (-.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 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 (*.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (*.f64 kx (*.f64 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 (+.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))))) (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 kx 2)
(*.f64 kx kx)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(*.f64 kx (*.f64 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 kx (*.f64 kx #s(literal 2/45 binary64)))))))
(* (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 (*.f64 kx kx) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 kx 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))
(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 ky (*.f64 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 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 ky (*.f64 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))

eval86.0ms (0.6%)

Compiler

Compiled 13987 to 1572 computations (88.8% saved)

prune79.0ms (0.5%)

Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New62319642
Fresh000
Picked022
Done000
Total62321644
Accuracy
99.9%
Counts
644 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.3%
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
70.1%
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
▶99.6%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
✓95.1%
(*.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))
32.4%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
29.6%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
18.5%
(*.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))
92.7%
(*.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))))))
▶23.3%
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky (*.f64 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)))))))) (sin.f64 th))
47.0%
(*.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)))
49.6%
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
50.7%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
✓99.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
54.1%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
▶51.1%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
▶24.0%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
32.4%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
50.0%
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
48.8%
(*.f64 (sin.f64 ky) (*.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)))))))
67.1%
(*.f64 (exp.f64 (log.f64 (sin.f64 ky))) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
▶24.0%
(sin.f64 th)
Compiler

Compiled 619 to 428 computations (30.9% saved)

simplify201.0ms (1.4%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
✓cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky (*.f64 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)))))))
✓cost-diff0
(*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky (*.f64 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))))))))
✓cost-diff0
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky (*.f64 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)))))))) (sin.f64 th))
✓cost-diff0
(sin.f64 th)
✓cost-diff0
(/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))
✓cost-diff0
(sin.f64 ky)
✓cost-diff0
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
✓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
(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
2236×*-lowering-*.f32
2236×*-lowering-*.f64
1850×sum3-define
1732×sum4-define
1470×fma-lowering-fma.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
033202
174202
2171199
3507198
41463197
54379194
08363194
Stop Event
1×iter limit
1×node limit
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 th) (sin ky)))
(sin ky)
ky
(/ (sin th) (sin ky))
(sin th)
th
(* (sin ky) (/ (sin th) (sqrt (+ (* ky ky) (* (sin kx) (sin kx))))))
(sin ky)
ky
(/ (sin th) (sqrt (+ (* ky ky) (* (sin kx) (sin kx)))))
(sin th)
th
(sqrt (+ (* ky ky) (* (sin kx) (sin kx))))
(sin kx)
kx
(* (* ky (- (/ 1 (sin kx)) (* ky (* ky (+ (/ 1/6 (sin kx)) (/ 1/2 (pow (sin kx) 3))))))) (sin th))
(* ky (- (/ 1 (sin kx)) (* ky (* ky (+ (/ 1/6 (sin kx)) (/ 1/2 (pow (sin kx) 3)))))))
ky
(- (/ 1 (sin kx)) (* ky (* ky (+ (/ 1/6 (sin kx)) (/ 1/2 (pow (sin kx) 3))))))
(/ 1 (sin kx))
1
(sin kx)
kx
(* ky (* ky (+ (/ 1/6 (sin kx)) (/ 1/2 (pow (sin kx) 3)))))
(* ky (+ (/ 1/6 (sin kx)) (/ 1/2 (pow (sin kx) 3))))
(+ (/ 1/6 (sin kx)) (/ 1/2 (pow (sin kx) 3)))
(/ 1/6 (sin kx))
1/6
(/ 1/2 (pow (sin kx) 3))
1/2
(pow (sin kx) 3)
3
(sin th)
th
Outputs
(* (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th))
(/.f64 (*.f64 (sin.f64 ky) (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 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) (/ (sin th) (sqrt (+ (* ky ky) (* (sin kx) (sin kx))))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(sin ky)
(sin.f64 ky)
ky
(/ (sin th) (sqrt (+ (* ky ky) (* (sin kx) (sin kx)))))
(/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))
(sin th)
(sin.f64 th)
th
(sqrt (+ (* ky ky) (* (sin kx) (sin kx))))
(hypot.f64 ky (sin.f64 kx))
(sin kx)
(sin.f64 kx)
kx
(* (* ky (- (/ 1 (sin kx)) (* ky (* ky (+ (/ 1/6 (sin kx)) (/ 1/2 (pow (sin kx) 3))))))) (sin th))
(*.f64 ky (*.f64 (sin.f64 th) (+.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 (- (/ 1 (sin kx)) (* ky (* ky (+ (/ 1/6 (sin kx)) (/ 1/2 (pow (sin kx) 3)))))))
(*.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
(- (/ 1 (sin kx)) (* ky (* ky (+ (/ 1/6 (sin kx)) (/ 1/2 (pow (sin kx) 3))))))
(+.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))))))
(/ 1 (sin kx))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
1
#s(literal 1 binary64)
(sin kx)
(sin.f64 kx)
kx
(* ky (* ky (+ (/ 1/6 (sin kx)) (/ 1/2 (pow (sin kx) 3)))))
(*.f64 ky (*.f64 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 (+ (/ 1/6 (sin kx)) (/ 1/2 (pow (sin kx) 3))))
(*.f64 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)))))
(+ (/ 1/6 (sin kx)) (/ 1/2 (pow (sin kx) 3)))
(+.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))))
(/ 1/6 (sin kx))
(/.f64 #s(literal 1/6 binary64) (sin.f64 kx))
1/6
#s(literal 1/6 binary64)
(/ 1/2 (pow (sin kx) 3))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))
1/2
#s(literal 1/2 binary64)
(pow (sin kx) 3)
(pow.f64 (sin.f64 kx) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(sin th)
(sin.f64 th)
th

localize227.0ms (1.6%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy97.6%
(*.f64 ky (*.f64 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))))))
✓accuracy96.9%
(*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky (*.f64 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))))))))
✓accuracy96.5%
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky (*.f64 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)))))))) (sin.f64 th))
✓accuracy95.0%
(*.f64 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)))))
✓accuracy100.0%
(sin.f64 kx)
✓accuracy100.0%
(hypot.f64 ky (sin.f64 kx))
✓accuracy99.8%
(/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))
✓accuracy99.7%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
✓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)
✓accuracy99.9%
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓accuracy99.7%
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
✓accuracy99.7%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
Results
174.0ms256×0valid
Compiler

Compiled 224 to 29 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-mult: 23.0ms (27% of total)
ival-sin: 19.0ms (22.3% of total)
compiled-spec: 14.0ms (16.4% of total)
ival-div: 11.0ms (12.9% of total)
ival-add: 4.0ms (4.7% of total)
...c/correct-round.rkt:119:19: 4.0ms (4.7% of total)
ival-sqrt: 4.0ms (4.7% of total)
ival-pow: 4.0ms (4.7% of total)
ival-sub: 1.0ms (1.2% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series67.0ms (0.5%)

Counts
17 → 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 th) (sin ky)))>
#<alt (/ (sin th) (sin ky))>
#<alt (* (sin ky) (/ (sin th) (sqrt (+ (* ky ky) (* (sin kx) (sin kx))))))>
#<alt (/ (sin th) (sqrt (+ (* ky ky) (* (sin kx) (sin kx)))))>
#<alt (* (* ky (- (/ 1 (sin kx)) (* ky (* ky (+ (/ 1/6 (sin kx)) (/ 1/2 (pow (sin kx) 3))))))) (sin th))>
#<alt (* ky (- (/ 1 (sin kx)) (* ky (* ky (+ (/ 1/6 (sin kx)) (/ 1/2 (pow (sin kx) 3)))))))>
#<alt (- (/ 1 (sin kx)) (* ky (* ky (+ (/ 1/6 (sin kx)) (/ 1/2 (pow (sin kx) 3))))))>
#<alt (/ 1 (sin kx))>
#<alt (sin kx)>
#<alt (sqrt (+ (* ky ky) (* (sin kx) (sin kx))))>
#<alt (* ky (+ (/ 1/6 (sin kx)) (/ 1/2 (pow (sin kx) 3))))>
#<alt (* ky (* ky (+ (/ 1/6 (sin kx)) (/ 1/2 (pow (sin kx) 3)))))>
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 (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 (/ 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)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 3/8 (/ (sin th) (pow (sin kx) 5))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 3/8 (/ (sin th) (pow (sin kx) 5))) (* (pow ky 2) (+ (* -5/16 (/ (sin th) (pow (sin kx) 7))) (+ (* -1/16 (/ (sin th) (pow (sin kx) 5))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))>
#<alt (/ (* (sin ky) (sin th)) ky)>
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#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))))>
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#<alt (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))>
#<alt (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))>
#<alt (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))>
#<alt (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))>
#<alt (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))>
#<alt (/ 1 (sin kx))>
#<alt (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))>
#<alt (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))>
#<alt (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))>
#<alt (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))>
#<alt (* (pow ky 2) (- (/ 1 (* (pow ky 2) (sin kx))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))>
#<alt (* (pow ky 2) (- (/ 1 (* (pow ky 2) (sin kx))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))>
#<alt (* (pow ky 2) (- (/ 1 (* (pow ky 2) (sin kx))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))>
#<alt (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))>
#<alt (* (pow ky 2) (- (/ 1 (* (pow ky 2) (sin kx))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))>
#<alt (* (pow ky 2) (- (/ 1 (* (pow ky 2) (sin kx))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))>
#<alt (* (pow ky 2) (- (/ 1 (* (pow ky 2) (sin kx))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))>
#<alt (/ 1 kx)>
#<alt (/ (+ 1 (* 1/6 (pow kx 2))) kx)>
#<alt (/ (+ 1 (* (pow kx 2) (+ 1/6 (* 7/360 (pow kx 2))))) kx)>
#<alt (/ (+ 1 (* (pow kx 2) (+ 1/6 (* (pow kx 2) (+ 7/360 (* 31/15120 (pow kx 2))))))) kx)>
#<alt (/ 1 (sin kx))>
#<alt (/ 1 (sin kx))>
#<alt (/ 1 (sin kx))>
#<alt (/ 1 (sin kx))>
#<alt (/ 1 (sin kx))>
#<alt (/ 1 (sin kx))>
#<alt (/ 1 (sin kx))>
#<alt (/ 1 (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 kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/8 (/ (pow ky 2) (pow (sin kx) 3))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/16 (/ (pow ky 2) (pow (sin kx) 5))) (* 1/8 (/ 1 (pow (sin kx) 3))))) (* 1/2 (/ 1 (sin kx))))))>
#<alt ky>
#<alt (* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))>
#<alt (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))>
#<alt (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))>
#<alt (* -1 ky)>
#<alt (* -1 (* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))>
#<alt (* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))>
#<alt (* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))))>
#<alt ky>
#<alt (+ ky (* 1/2 (/ (pow kx 2) ky)))>
#<alt (+ ky (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow ky 2))))) ky)) (* 1/2 (/ 1 ky)))))>
#<alt (+ ky (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) ky)) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) (pow ky 2))))) ky)))) (* 1/2 (/ 1 ky)))))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* 1/2 (/ ky (pow kx 3)))>
#<alt (/ (+ (* 5/12 (* (pow kx 2) ky)) (* 1/2 ky)) (pow kx 3))>
#<alt (/ (+ (* 1/2 ky) (* (pow kx 2) (+ (* 71/720 (* (pow kx 2) ky)) (* 5/12 ky)))) (pow kx 3))>
#<alt (/ (+ (* 1/2 ky) (* (pow kx 2) (+ (* 5/12 ky) (* (pow kx 2) (+ (* 37/2016 (* (pow kx 2) ky)) (* 71/720 ky)))))) (pow kx 3))>
#<alt (* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* 1/2 (/ (pow ky 2) (pow kx 3)))>
#<alt (/ (+ (* 5/12 (* (pow kx 2) (pow ky 2))) (* 1/2 (pow ky 2))) (pow kx 3))>
#<alt (/ (+ (* 1/2 (pow ky 2)) (* (pow kx 2) (+ (* 71/720 (* (pow kx 2) (pow ky 2))) (* 5/12 (pow ky 2))))) (pow kx 3))>
#<alt (/ (+ (* 1/2 (pow ky 2)) (* (pow kx 2) (+ (* 5/12 (pow ky 2)) (* (pow kx 2) (+ (* 37/2016 (* (pow kx 2) (pow ky 2))) (* 71/720 (pow ky 2))))))) (pow kx 3))>
#<alt (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
#<alt (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))>
Calls

102 calls:

TimeVariablePointExpression
12.0ms
kx
@0
(- (/ 1 (sin kx)) (* ky (* ky (+ (/ 1/6 (sin kx)) (/ 1/2 (pow (sin kx) 3))))))
7.0ms
kx
@inf
(* (sin ky) (/ (sin th) (sqrt (+ (* ky ky) (* (sin kx) (sin kx))))))
7.0ms
ky
@inf
(* (* ky (- (/ 1 (sin kx)) (* ky (* ky (+ (/ 1/6 (sin kx)) (/ 1/2 (pow (sin kx) 3))))))) (sin th))
3.0ms
kx
@inf
(* (* ky (- (/ 1 (sin kx)) (* ky (* ky (+ (/ 1/6 (sin kx)) (/ 1/2 (pow (sin kx) 3))))))) (sin th))
3.0ms
kx
@-inf
(* (* ky (- (/ 1 (sin kx)) (* ky (* ky (+ (/ 1/6 (sin kx)) (/ 1/2 (pow (sin kx) 3))))))) (sin th))

rewrite416.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
4898×*-lowering-*.f32
4898×*-lowering-*.f64
2926×/-lowering-/.f32
2926×/-lowering-/.f64
2728×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033151
1199146
21789139
09057139
Stop Event
1×iter limit
1×node limit
Counts
17 → 351
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 th) (sin ky)))
(/ (sin th) (sin ky))
(* (sin ky) (/ (sin th) (sqrt (+ (* ky ky) (* (sin kx) (sin kx))))))
(/ (sin th) (sqrt (+ (* ky ky) (* (sin kx) (sin kx)))))
(* (* ky (- (/ 1 (sin kx)) (* ky (* ky (+ (/ 1/6 (sin kx)) (/ 1/2 (pow (sin kx) 3))))))) (sin th))
(* ky (- (/ 1 (sin kx)) (* ky (* ky (+ (/ 1/6 (sin kx)) (/ 1/2 (pow (sin kx) 3)))))))
(- (/ 1 (sin kx)) (* ky (* ky (+ (/ 1/6 (sin kx)) (/ 1/2 (pow (sin kx) 3))))))
(/ 1 (sin kx))
(sin kx)
(sqrt (+ (* ky ky) (* (sin kx) (sin kx))))
(* ky (+ (/ 1/6 (sin kx)) (/ 1/2 (pow (sin kx) 3))))
(* ky (* ky (+ (/ 1/6 (sin kx)) (/ 1/2 (pow (sin kx) 3)))))
Outputs
(/.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 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.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 #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))))
(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 (/.f64 #s(literal 1 binary64) (hypot.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 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.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)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (*.f64 (sin.f64 ky) #s(literal 1 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (-.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 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(sin.f64 ky)
(pow.f64 (sin.f64 ky) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.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 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #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 kx #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) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 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 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.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 (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 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 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 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 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 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (-.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))
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(/.f64 (+.f64 (*.f64 (*.f64 ky #s(literal 1/6 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 (sin.f64 kx) (*.f64 ky #s(literal -1/2 binary64)))) (*.f64 (sin.f64 kx) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 ky #s(literal 1/6 binary64)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 kx) (*.f64 #s(literal 1 binary64) ky))) (*.f64 (sin.f64 kx) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 ky #s(literal 1/6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (sin.f64 kx) (*.f64 #s(literal 1/2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 ky #s(literal 1/6 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 (sin.f64 kx) (*.f64 #s(literal -1/2 binary64) ky))) (*.f64 (sin.f64 kx) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 ky #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 kx) #s(literal 1/6 binary64)) ky)) (*.f64 (/.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 ky #s(literal 1 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (/.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (*.f64 ky #s(literal 1/2 binary64)))) (*.f64 (/.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 ky #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (*.f64 ky #s(literal 1 binary64)))) (*.f64 (/.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 ky #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 (/.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (*.f64 ky #s(literal -1/2 binary64)))) (*.f64 (/.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 ky #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (*.f64 #s(literal 1 binary64) ky))) (*.f64 (/.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 ky #s(literal 1 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (/.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) ky))) (*.f64 (/.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 ky #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 (/.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) ky))) (*.f64 (/.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 ky #s(literal -1/6 binary64)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)) ky)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 ky #s(literal -1/6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)) (*.f64 ky #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 ky #s(literal -1/6 binary64)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)) (*.f64 ky #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 ky #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)) (*.f64 ky #s(literal -1/2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 ky #s(literal -1/6 binary64)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)) (*.f64 #s(literal 1 binary64) ky))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 ky #s(literal -1/6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)) (*.f64 #s(literal 1/2 binary64) ky))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 ky #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)) (*.f64 #s(literal -1/2 binary64) ky))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1 binary64) ky) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 kx) #s(literal 1/6 binary64)) ky)) (*.f64 (/.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1 binary64) ky) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (/.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (*.f64 ky #s(literal 1/2 binary64)))) (*.f64 (/.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1 binary64) ky) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (*.f64 ky #s(literal 1 binary64)))) (*.f64 (/.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1 binary64) ky) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 (/.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (*.f64 ky #s(literal -1/2 binary64)))) (*.f64 (/.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1 binary64) ky) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (*.f64 #s(literal 1 binary64) ky))) (*.f64 (/.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1 binary64) ky) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (/.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) ky))) (*.f64 (/.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1 binary64) ky) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 (/.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) ky))) (*.f64 (/.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) ky) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 kx) ky)) (*.f64 (sin.f64 kx) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) ky) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (sin.f64 kx) (*.f64 ky #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) ky) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 kx) (*.f64 ky #s(literal 1 binary64)))) (*.f64 (sin.f64 kx) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) ky) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 (sin.f64 kx) (*.f64 ky #s(literal -1/2 binary64)))) (*.f64 (sin.f64 kx) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) ky) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 kx) (*.f64 #s(literal 1 binary64) ky))) (*.f64 (sin.f64 kx) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) ky) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (sin.f64 kx) (*.f64 #s(literal 1/2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) ky) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 (sin.f64 kx) (*.f64 #s(literal -1/2 binary64) ky))) (*.f64 (sin.f64 kx) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) ky) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)) ky)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) ky) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)) (*.f64 ky #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) ky) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)) (*.f64 ky #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) ky) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)) (*.f64 ky #s(literal -1/2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) ky) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)) (*.f64 #s(literal 1 binary64) ky))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) ky) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)) (*.f64 #s(literal 1/2 binary64) ky))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) ky) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)) (*.f64 #s(literal -1/2 binary64) ky))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(*.f64 ky (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(*.f64 (+.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)
(+.f64 (*.f64 ky (/.f64 ky (/.f64 (sin.f64 kx) #s(literal 1/6 binary64)))) (*.f64 ky (/.f64 ky (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (*.f64 ky ky) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx))) (*.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(+.f64 (*.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 (*.f64 ky ky) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx))))
(+.f64 (*.f64 (/.f64 ky (/.f64 (sin.f64 kx) #s(literal 1/6 binary64))) ky) (*.f64 (/.f64 ky (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))) ky))
(+.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (*.f64 ky ky)) (*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 ky ky)))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 ky ky)) (*.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (*.f64 ky ky)))
(fma.f64 ky (/.f64 ky (/.f64 (sin.f64 kx) #s(literal 1/6 binary64))) (*.f64 ky (/.f64 ky (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (*.f64 ky ky) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx))))
(fma.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (*.f64 ky ky) (*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 ky ky)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 ky ky) (*.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (*.f64 ky ky)))
(fma.f64 (/.f64 ky (/.f64 (sin.f64 kx) #s(literal 1/6 binary64))) ky (*.f64 (/.f64 ky (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/2 binary64))) ky))
(/.f64 (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (sin.f64 kx) #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))
(/.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/216 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 9 binary64))))) (+.f64 (/.f64 #s(literal 1/36 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 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal -6 binary64))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))))
(/.f64 (*.f64 (*.f64 ky ky) (-.f64 (/.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal -6 binary64))))) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) (sin.f64 kx)))
(*.f64 ky (*.f64 ky (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))
(*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky))
(*.f64 (*.f64 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)

simplify442.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
5752×*-lowering-*.f32
5752×*-lowering-*.f64
5430×+-lowering-+.f64
5430×+-lowering-+.f32
1408×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
08167378
128446507
277276456
080396456
Stop Event
1×iter limit
1×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)
(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)
(/ 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)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 3/8 (/ (sin th) (pow (sin kx) 5))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 3/8 (/ (sin th) (pow (sin kx) 5))) (* (pow ky 2) (+ (* -5/16 (/ (sin th) (pow (sin kx) 7))) (+ (* -1/16 (/ (sin th) (pow (sin kx) 5))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(/ (* (sin ky) (sin th)) ky)
(/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky)
(* -1 (/ (* (sin ky) (sin th)) ky))
(* -1 (/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(/ (* (sin ky) (sin th)) ky)
(+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 3))) (/ (* (sin ky) (sin th)) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (* (sin ky) (sin th)) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8)))))))))) (* 1/2 (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))))) (/ (* (sin ky) (sin th)) ky))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* th (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* th (+ (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))
(* th (+ (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))))
(* th (+ (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))))))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 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))) (* 3/8 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 5))))) (/ (sin th) (sin kx)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -5/16 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 7))) (* 3/8 (/ (sin th) (pow (sin kx) 5))))))) (/ (sin th) (sin kx)))
(/ (sin th) ky)
(/ (+ (sin th) (* -1/2 (/ (* (pow (sin kx) 2) (sin th)) (pow ky 2)))) ky)
(/ (+ (sin th) (+ (* -1/2 (/ (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin th)) (pow ky 2))))) ky)
(/ (+ (sin th) (+ (* -1/2 (/ (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6))) (pow ky 6))) (* -1/2 (/ (* (pow (sin kx) 2) (sin th)) (pow ky 2)))))) ky)
(* -1 (/ (sin th) ky))
(* -1 (/ (+ (sin th) (* -1/2 (/ (* (pow (sin kx) 2) (sin th)) (pow ky 2)))) ky))
(* -1 (/ (+ (sin th) (+ (* -1/2 (/ (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin th)) (pow ky 2))))) ky))
(* -1 (/ (+ (sin th) (+ (* -1/2 (/ (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6))) (pow ky 6))) (* -1/2 (/ (* (pow (sin kx) 2) (sin th)) (pow ky 2)))))) ky))
(/ (sin th) ky)
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 3))) (/ (sin th) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))) (/ (sin th) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8))))))))) (* 1/2 (* ky (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (sin th) ky))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* -1 (* (pow ky 2) (* (sin th) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))) (/ (sin th) (sin kx))))
(* ky (+ (* -1 (* (pow ky 2) (* (sin th) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))) (/ (sin th) (sin kx))))
(* ky (+ (* -1 (* (pow ky 2) (* (sin th) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))) (/ (sin th) (sin kx))))
(* -1 (* (pow ky 3) (* (sin th) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))))
(* (pow ky 3) (+ (* -1 (* (sin th) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ (sin th) (* (pow ky 2) (sin kx)))))
(* (pow ky 3) (+ (* -1 (* (sin th) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ (sin th) (* (pow ky 2) (sin kx)))))
(* (pow ky 3) (+ (* -1 (* (sin th) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ (sin th) (* (pow ky 2) (sin kx)))))
(* -1 (* (pow ky 3) (* (sin th) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))))
(* -1 (* (pow ky 3) (+ (* -1 (/ (sin th) (* (pow ky 2) (sin kx)))) (* (sin th) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))
(* -1 (* (pow ky 3) (+ (* -1 (/ (sin th) (* (pow ky 2) (sin kx)))) (* (sin th) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))
(* -1 (* (pow ky 3) (+ (* -1 (/ (sin th) (* (pow ky 2) (sin kx)))) (* (sin th) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))
(* -1/2 (/ (* (pow ky 3) (sin th)) (pow kx 3)))
(/ (+ (* -1/2 (* (pow ky 3) (sin th))) (* (pow kx 2) (* ky (* (sin th) (- 1 (* 5/12 (pow ky 2))))))) (pow kx 3))
(/ (+ (* -1/2 (* (pow ky 3) (sin th))) (* (pow kx 2) (+ (* ky (* (sin th) (- 1 (* 5/12 (pow ky 2))))) (* (pow kx 2) (* ky (* (sin th) (- 1/6 (* 71/720 (pow ky 2))))))))) (pow kx 3))
(/ (+ (* -1/2 (* (pow ky 3) (sin th))) (* (pow kx 2) (+ (* ky (* (sin th) (- 1 (* 5/12 (pow ky 2))))) (* (pow kx 2) (+ (* ky (* (sin th) (- 1/6 (* 71/720 (pow ky 2))))) (* (pow kx 2) (* ky (* (sin th) (- 7/360 (* 37/2016 (pow ky 2))))))))))) (pow kx 3))
(* ky (* (sin th) (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))
(* ky (* (sin th) (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))
(* ky (* (sin th) (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))
(* ky (* (sin th) (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))
(* ky (* (sin th) (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))
(* ky (* (sin th) (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))
(* ky (* (sin th) (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))
(* ky (* (sin th) (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))
(* ky (* th (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))
(* th (+ (* -1/6 (* ky (* (pow th 2) (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))) (* ky (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))))))
(* th (+ (* ky (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))) (* (pow th 2) (+ (* -1/6 (* ky (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))))) (* 1/120 (* ky (* (pow th 2) (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))))))))))
(* th (+ (* ky (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))) (* (pow th 2) (+ (* -1/6 (* ky (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))))) (* (pow th 2) (+ (* -1/5040 (* ky (* (pow th 2) (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))) (* 1/120 (* ky (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))))))))
(* ky (* (sin th) (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))
(* ky (* (sin th) (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))
(* ky (* (sin th) (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))
(* ky (* (sin th) (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))
(* ky (* (sin th) (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))
(* ky (* (sin th) (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))
(* ky (* (sin th) (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))
(* ky (* (sin th) (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))
(/ ky (sin kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* -1 (* (pow ky 3) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
(* (pow ky 3) (+ (* -1 (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (* (pow ky 2) (sin kx)))))
(* (pow ky 3) (+ (* -1 (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (* (pow ky 2) (sin kx)))))
(* (pow ky 3) (+ (* -1 (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (* (pow ky 2) (sin kx)))))
(* -1 (* (pow ky 3) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
(* -1 (* (pow ky 3) (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) (/ 1 (* (pow ky 2) (sin kx))))))
(* -1 (* (pow ky 3) (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) (/ 1 (* (pow ky 2) (sin kx))))))
(* -1 (* (pow ky 3) (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) (/ 1 (* (pow ky 2) (sin kx))))))
(* -1/2 (/ (pow ky 3) (pow kx 3)))
(/ (+ (* -1/2 (pow ky 3)) (* (pow kx 2) (* ky (- 1 (* 5/12 (pow ky 2)))))) (pow kx 3))
(/ (+ (* -1/2 (pow ky 3)) (* (pow kx 2) (+ (* ky (- 1 (* 5/12 (pow ky 2)))) (* (pow kx 2) (* ky (- 1/6 (* 71/720 (pow ky 2)))))))) (pow kx 3))
(/ (+ (* -1/2 (pow ky 3)) (* (pow kx 2) (+ (* ky (- 1 (* 5/12 (pow ky 2)))) (* (pow kx 2) (+ (* ky (- 1/6 (* 71/720 (pow ky 2)))) (* (pow kx 2) (* ky (- 7/360 (* 37/2016 (pow ky 2)))))))))) (pow kx 3))
(* ky (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))))
(* ky (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))))
(* ky (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))))
(* ky (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))))
(* ky (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))))
(* ky (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))))
(* ky (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))))
(* ky (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))))
(* -1/2 (/ (pow ky 2) (pow kx 3)))
(/ (- (* (pow kx 2) (- 1 (* 5/12 (pow ky 2)))) (* 1/2 (pow ky 2))) (pow kx 3))
(/ (- (* (pow kx 2) (- (+ 1 (* (pow kx 2) (- 1/6 (* 71/720 (pow ky 2))))) (* 5/12 (pow ky 2)))) (* 1/2 (pow ky 2))) (pow kx 3))
(/ (- (* (pow kx 2) (- (+ 1 (* (pow kx 2) (- (+ 1/6 (* (pow kx 2) (- 7/360 (* 37/2016 (pow ky 2))))) (* 71/720 (pow ky 2))))) (* 5/12 (pow ky 2)))) (* 1/2 (pow ky 2))) (pow kx 3))
(- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
(- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
(- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
(- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
(- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
(- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
(- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
(- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
(/ 1 (sin kx))
(+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))
(+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))
(+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))
(* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
(* (pow ky 2) (- (/ 1 (* (pow ky 2) (sin kx))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
(* (pow ky 2) (- (/ 1 (* (pow ky 2) (sin kx))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
(* (pow ky 2) (- (/ 1 (* (pow ky 2) (sin kx))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
(* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
(* (pow ky 2) (- (/ 1 (* (pow ky 2) (sin kx))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
(* (pow ky 2) (- (/ 1 (* (pow ky 2) (sin kx))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
(* (pow ky 2) (- (/ 1 (* (pow ky 2) (sin kx))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
(/ 1 kx)
(/ (+ 1 (* 1/6 (pow kx 2))) kx)
(/ (+ 1 (* (pow kx 2) (+ 1/6 (* 7/360 (pow kx 2))))) kx)
(/ (+ 1 (* (pow kx 2) (+ 1/6 (* (pow kx 2) (+ 7/360 (* 31/15120 (pow kx 2))))))) kx)
(/ 1 (sin kx))
(/ 1 (sin kx))
(/ 1 (sin kx))
(/ 1 (sin kx))
(/ 1 (sin kx))
(/ 1 (sin kx))
(/ 1 (sin kx))
(/ 1 (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 kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (sin kx) (* (pow ky 2) (+ (* -1/8 (/ (pow ky 2) (pow (sin kx) 3))) (* 1/2 (/ 1 (sin kx))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/16 (/ (pow ky 2) (pow (sin kx) 5))) (* 1/8 (/ 1 (pow (sin kx) 3))))) (* 1/2 (/ 1 (sin kx))))))
ky
(* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))
(* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))
(* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))
(* -1 ky)
(* -1 (* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))))
ky
(+ ky (* 1/2 (/ (pow kx 2) ky)))
(+ ky (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow ky 2))))) ky)) (* 1/2 (/ 1 ky)))))
(+ ky (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) ky)) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) (pow ky 2))))) ky)))) (* 1/2 (/ 1 ky)))))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* 1/2 (/ ky (pow kx 3)))
(/ (+ (* 5/12 (* (pow kx 2) ky)) (* 1/2 ky)) (pow kx 3))
(/ (+ (* 1/2 ky) (* (pow kx 2) (+ (* 71/720 (* (pow kx 2) ky)) (* 5/12 ky)))) (pow kx 3))
(/ (+ (* 1/2 ky) (* (pow kx 2) (+ (* 5/12 ky) (* (pow kx 2) (+ (* 37/2016 (* (pow kx 2) ky)) (* 71/720 ky)))))) (pow kx 3))
(* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* 1/2 (/ (pow ky 2) (pow kx 3)))
(/ (+ (* 5/12 (* (pow kx 2) (pow ky 2))) (* 1/2 (pow ky 2))) (pow kx 3))
(/ (+ (* 1/2 (pow ky 2)) (* (pow kx 2) (+ (* 71/720 (* (pow kx 2) (pow ky 2))) (* 5/12 (pow ky 2))))) (pow kx 3))
(/ (+ (* 1/2 (pow ky 2)) (* (pow kx 2) (+ (* 5/12 (pow ky 2)) (* (pow kx 2) (+ (* 37/2016 (* (pow kx 2) (pow ky 2))) (* 71/720 (pow ky 2))))))) (pow kx 3))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
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 (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 (*.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 (sin.f64 th) #s(literal -1/6 binary64)) (sin.f64 kx))) (*.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 (*.f64 (sin.f64 th) #s(literal 1/120 binary64)) (sin.f64 kx)) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (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 (sin.f64 th) #s(literal -1/6 binary64)) (sin.f64 kx))) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal 1/120 binary64)) (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 (*.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 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))))))) (+.f64 (*.f64 (*.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 (sin.f64 th) #s(literal -1/5040 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 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (*.f64 kx (/.f64 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 -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx))))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(*.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)))))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(*.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (*.f64 ky ky) (+.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (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 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))))) (-.f64 (*.f64 (*.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 -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+.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 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(+ 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 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (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 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 ky)) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))))
(+ (sin 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 #s(literal 1/2 binary64) (*.f64 (-.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 ky) #s(literal 2 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (/.f64 (*.f64 kx 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))
(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 ky ky) #s(literal 1/2 binary64)) (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 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))))
(+ (sin 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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 ky (/.f64 ky (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)
(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 #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)
(/ 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 #s(literal -1/6 binary64) (sin.f64 ky)) (/.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 th th)) (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 #s(literal -1/5040 binary64) (*.f64 th (/.f64 th (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))
(/.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) 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 (*.f64 ky ky) (+.f64 (*.f64 (*.f64 ky ky) (neg.f64 (+.f64 (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 th) #s(literal -7/360 binary64))) (*.f64 (sin.f64 th) #s(literal 1/840 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)) (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 (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))) (* 3/8 (/ (sin th) (pow (sin kx) 5))))))))) (/ (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 (sin.f64 th) #s(literal -1/6 binary64)) (sin.f64 kx))) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))) (/.f64 (*.f64 (sin.f64 th) #s(literal 1/120 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))) (+ (* 3/8 (/ (sin th) (pow (sin kx) 5))) (* (pow ky 2) (+ (* -5/16 (/ (sin th) (pow (sin kx) 7))) (+ (* -1/16 (/ (sin th) (pow (sin kx) 5))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(*.f64 ky (+.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 (sin.f64 th) #s(literal -1/6 binary64)) (sin.f64 kx))) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))) (/.f64 (*.f64 (sin.f64 th) #s(literal 1/120 binary64)) (sin.f64 kx)))) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/240 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/5040 binary64)) (sin.f64 kx))) (+.f64 (/.f64 (*.f64 #s(literal -5/16 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))))))))))))
(/ (* (sin ky) (sin th)) ky)
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky)
(/.f64 (+.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 ky ky))))) ky)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky)
(/.f64 (+.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)))) (pow.f64 ky #s(literal 4 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 ky ky)))))) ky)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)))))) (pow.f64 ky #s(literal 6 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 ky ky))))) (+.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64))))) (pow.f64 ky #s(literal 4 binary64))))) ky)
(* -1 (/ (* (sin ky) (sin th)) ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (-.f64 #s(literal 0 binary64) ky))
(* -1 (/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky))
(/.f64 (+.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 ky ky))))) (-.f64 #s(literal 0 binary64) ky))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky))
(/.f64 (+.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)))) (pow.f64 ky #s(literal 4 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 ky ky)))))) (-.f64 #s(literal 0 binary64) ky))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)))))) (pow.f64 ky #s(literal 6 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 ky ky))))) (+.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64))))) (pow.f64 ky #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) ky))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #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 ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))))
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #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 ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))))))
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #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 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #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 ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(/ (* (sin ky) (sin th)) ky)
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 3))) (/ (* (sin ky) (sin th)) ky))
(+.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky)) (*.f64 (/.f64 #s(literal -1/2 binary64) ky) (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 kx kx)) (*.f64 ky ky))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (* (sin ky) (sin th)) ky))
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(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8)))))))))) (* 1/2 (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))))) (/ (* (sin ky) (sin th)) ky))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* th (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* th (+ (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))
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(* th (+ (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))))
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(* th (+ (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))))))))
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(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (sin th) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(/ (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)))
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(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* 3/8 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 5))))) (/ (sin th) (sin kx)))
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(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -5/16 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 7))) (* 3/8 (/ (sin th) (pow (sin kx) 5))))))) (/ (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 (*.f64 #s(literal 3/8 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (sin.f64 th) (*.f64 ky ky))) (pow.f64 (sin.f64 kx) #s(literal 7 binary64))))))))
(/ (sin th) ky)
(/.f64 (sin.f64 th) ky)
(/ (+ (sin th) (* -1/2 (/ (* (pow (sin kx) 2) (sin th)) (pow ky 2)))) ky)
(/.f64 (+.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky ky)))) ky)
(/ (+ (sin th) (+ (* -1/2 (/ (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin th)) (pow ky 2))))) ky)
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(/ (+ (sin th) (+ (* -1/2 (/ (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6))) (pow ky 6))) (* -1/2 (/ (* (pow (sin kx) 2) (sin th)) (pow ky 2)))))) ky)
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(* -1 (/ (sin th) ky))
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 th) ky))
(* -1 (/ (+ (sin th) (* -1/2 (/ (* (pow (sin kx) 2) (sin th)) (pow ky 2)))) ky))
(/.f64 (+.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky ky)))) (-.f64 #s(literal 0 binary64) ky))
(* -1 (/ (+ (sin th) (+ (* -1/2 (/ (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin th)) (pow ky 2))))) ky))
(/.f64 (+.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky ky)) (*.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (/.f64 (sin.f64 th) (pow.f64 ky #s(literal 4 binary64))))))) (-.f64 #s(literal 0 binary64) ky))
(* -1 (/ (+ (sin th) (+ (* -1/2 (/ (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6))) (pow ky 6))) (* -1/2 (/ (* (pow (sin kx) 2) (sin th)) (pow ky 2)))))) ky))
(/.f64 (+.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (/.f64 (sin.f64 th) (pow.f64 ky #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky ky)) (*.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64))))) (/.f64 (sin.f64 th) (pow.f64 ky #s(literal 6 binary64)))))))) (-.f64 #s(literal 0 binary64) ky))
(/ (sin th) ky)
(/.f64 (sin.f64 th) ky)
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 3))) (/ (sin th) ky))
(+.f64 (/.f64 (sin.f64 th) ky) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (*.f64 kx kx)) (*.f64 ky (*.f64 ky ky)))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))) (/ (sin th) ky))
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(/ (* ky (sin th)) (sin kx))
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(* -1 (* (pow ky 3) (* (sin th) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))))
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(* -1 (* (pow ky 3) (+ (* -1 (/ (sin th) (* (pow ky 2) (sin kx)))) (* (sin th) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))
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(/ (+ (* -1/2 (* (pow ky 3) (sin th))) (* (pow kx 2) (* ky (* (sin th) (- 1 (* 5/12 (pow ky 2))))))) (pow kx 3))
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(/ (+ (* -1/2 (* (pow ky 3) (sin th))) (* (pow kx 2) (+ (* ky (* (sin th) (- 1 (* 5/12 (pow ky 2))))) (* (pow kx 2) (* ky (* (sin th) (- 1/6 (* 71/720 (pow ky 2))))))))) (pow kx 3))
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(/ (+ (* -1/2 (* (pow ky 3) (sin th))) (* (pow kx 2) (+ (* ky (* (sin th) (- 1 (* 5/12 (pow ky 2))))) (* (pow kx 2) (+ (* ky (* (sin th) (- 1/6 (* 71/720 (pow ky 2))))) (* (pow kx 2) (* ky (* (sin th) (- 7/360 (* 37/2016 (pow ky 2))))))))))) (pow kx 3))
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(* ky (* (sin th) (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))
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(* ky (* (sin th) (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))
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(* ky (* (sin th) (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))
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(* ky (* (sin th) (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))
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(* ky (* (sin th) (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))
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(* ky (* (sin th) (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))
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(* ky (* th (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))
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(* th (+ (* -1/6 (* ky (* (pow th 2) (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))) (* ky (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))))))
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(* th (+ (* ky (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))) (* (pow th 2) (+ (* -1/6 (* ky (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))))) (* 1/120 (* ky (* (pow th 2) (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))))))))))
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(* th (+ (* ky (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))) (* (pow th 2) (+ (* -1/6 (* ky (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))))) (* (pow th 2) (+ (* -1/5040 (* ky (* (pow th 2) (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))) (* 1/120 (* ky (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))))))))
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(* ky (* (sin th) (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))))
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(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
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(* ky (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))))
(*.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx))))))
(* ky (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))))
(*.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx))))))
(* ky (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))))
(*.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx))))))
(* ky (- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))))
(*.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx))))))
(* -1/2 (/ (pow ky 2) (pow kx 3)))
(/.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (*.f64 kx (*.f64 kx kx)))
(/ (- (* (pow kx 2) (- 1 (* 5/12 (pow ky 2)))) (* 1/2 (pow ky 2))) (pow kx 3))
(/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))
(/ (- (* (pow kx 2) (- (+ 1 (* (pow kx 2) (- 1/6 (* 71/720 (pow ky 2))))) (* 5/12 (pow ky 2)))) (* 1/2 (pow ky 2))) (pow kx 3))
(/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))
(/ (- (* (pow kx 2) (- (+ 1 (* (pow kx 2) (- (+ 1/6 (* (pow kx 2) (- 7/360 (* 37/2016 (pow ky 2))))) (* 71/720 (pow ky 2))))) (* 5/12 (pow ky 2)))) (* 1/2 (pow ky 2))) (pow kx 3))
(/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 ky ky) #s(literal -37/2016 binary64)))) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))
(- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)))))
(- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)))))
(- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
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(- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
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(- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
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(- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
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(- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
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(- (/ 1 (sin kx)) (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
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(/ 1 (sin kx))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))
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(+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)))))
(+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))
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(* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
(*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx))))
(* (pow ky 2) (- (/ 1 (* (pow ky 2) (sin kx))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
(*.f64 (*.f64 ky ky) (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky ky)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx))))
(* (pow ky 2) (- (/ 1 (* (pow ky 2) (sin kx))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
(*.f64 (*.f64 ky ky) (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky ky)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx))))
(* (pow ky 2) (- (/ 1 (* (pow ky 2) (sin kx))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
(*.f64 (*.f64 ky ky) (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky ky)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx))))
(* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
(*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx))))
(* (pow ky 2) (- (/ 1 (* (pow ky 2) (sin kx))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
(*.f64 (*.f64 ky ky) (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky ky)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx))))
(* (pow ky 2) (- (/ 1 (* (pow ky 2) (sin kx))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
(*.f64 (*.f64 ky ky) (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky ky)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx))))
(* (pow ky 2) (- (/ 1 (* (pow ky 2) (sin kx))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))))
(*.f64 (*.f64 ky ky) (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky ky)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx))))
(/ 1 kx)
(/.f64 #s(literal 1 binary64) kx)
(/ (+ 1 (* 1/6 (pow kx 2))) kx)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) kx)
(/ (+ 1 (* (pow kx 2) (+ 1/6 (* 7/360 (pow kx 2))))) kx)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 kx kx) #s(literal 7/360 binary64))))) kx)
(/ (+ 1 (* (pow kx 2) (+ 1/6 (* (pow kx 2) (+ 7/360 (* 31/15120 (pow kx 2))))))) kx)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 kx kx) #s(literal 31/15120 binary64))))))) kx)
(/ 1 (sin kx))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(/ 1 (sin kx))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(/ 1 (sin kx))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(/ 1 (sin kx))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(/ 1 (sin kx))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(/ 1 (sin kx))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(/ 1 (sin kx))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(/ 1 (sin kx))
(/.f64 #s(literal 1 binary64) (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)
(sin kx)
(sin.f64 kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+.f64 (sin.f64 kx) (/.f64 (*.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (sin.f64 kx)))
(+ (sin kx) (* (pow ky 2) (+ (* -1/8 (/ (pow ky 2) (pow (sin kx) 3))) (* 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 -1/8 binary64) (*.f64 ky ky)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/16 (/ (pow ky 2) (pow (sin kx) 5))) (* 1/8 (/ 1 (pow (sin kx) 3))))) (* 1/2 (/ 1 (sin kx))))))
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ky
(* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))))
(* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 ky #s(literal 4 binary64))))))
(* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 ky #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (pow.f64 ky #s(literal 6 binary64)))))))
(* -1 ky)
(-.f64 #s(literal 0 binary64) ky)
(* -1 (* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (-.f64 #s(literal 0 binary64) ky))
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 ky #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) ky))
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 ky #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (pow.f64 ky #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) ky))
ky
(+ ky (* 1/2 (/ (pow kx 2) ky)))
(+.f64 ky (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) ky))
(+ ky (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow ky 2))))) ky)) (* 1/2 (/ 1 ky)))))
(+.f64 ky (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 ky ky))))) ky) (/.f64 #s(literal 1/2 binary64) ky))))
(+ ky (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) ky)) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) (pow ky 2))))) ky)))) (* 1/2 (/ 1 ky)))))
(+.f64 ky (*.f64 (*.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) ky) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 ky ky)) #s(literal -1/2 binary64))) ky) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.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) (*.f64 ky ky))) (*.f64 ky ky)))))) ky))))))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.f64 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 (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.f64 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 (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.f64 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 (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.f64 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 (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.f64 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 (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.f64 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 (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.f64 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 (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.f64 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 (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.f64 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 (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.f64 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 (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.f64 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 (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.f64 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)))))
(* 1/2 (/ ky (pow kx 3)))
(*.f64 ky (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))
(/ (+ (* 5/12 (* (pow kx 2) ky)) (* 1/2 ky)) (pow kx 3))
(/.f64 (*.f64 ky (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 5/12 binary64) (*.f64 kx kx)))) (*.f64 kx (*.f64 kx kx)))
(/ (+ (* 1/2 ky) (* (pow kx 2) (+ (* 71/720 (* (pow kx 2) ky)) (* 5/12 ky)))) (pow kx 3))
(/.f64 (+.f64 (*.f64 ky #s(literal 1/2 binary64)) (*.f64 (*.f64 kx kx) (*.f64 ky (+.f64 (*.f64 #s(literal 71/720 binary64) (*.f64 kx kx)) #s(literal 5/12 binary64))))) (*.f64 kx (*.f64 kx kx)))
(/ (+ (* 1/2 ky) (* (pow kx 2) (+ (* 5/12 ky) (* (pow kx 2) (+ (* 37/2016 (* (pow kx 2) ky)) (* 71/720 ky)))))) (pow kx 3))
(/.f64 (+.f64 (*.f64 ky #s(literal 1/2 binary64)) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 ky #s(literal 5/12 binary64)) (*.f64 (*.f64 kx kx) (*.f64 ky (+.f64 #s(literal 71/720 binary64) (*.f64 #s(literal 37/2016 binary64) (*.f64 kx kx)))))))) (*.f64 kx (*.f64 kx kx)))
(* ky (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.f64 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 (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.f64 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 (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.f64 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 (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.f64 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 (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.f64 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 (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.f64 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 (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.f64 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 (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.f64 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)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.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)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.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)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.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)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.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)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.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)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.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)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.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)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.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)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.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)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.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)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.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)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.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)))))
(* 1/2 (/ (pow ky 2) (pow kx 3)))
(/.f64 (*.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (*.f64 kx (*.f64 kx kx)))
(/ (+ (* 5/12 (* (pow kx 2) (pow ky 2))) (* 1/2 (pow ky 2))) (pow kx 3))
(/.f64 (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 5/12 binary64) (*.f64 kx kx)))) (*.f64 kx (*.f64 kx kx)))
(/ (+ (* 1/2 (pow ky 2)) (* (pow kx 2) (+ (* 71/720 (* (pow kx 2) (pow ky 2))) (* 5/12 (pow ky 2))))) (pow kx 3))
(/.f64 (+.f64 (*.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (*.f64 (*.f64 kx kx) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 71/720 binary64) (*.f64 kx kx)) #s(literal 5/12 binary64))))) (*.f64 kx (*.f64 kx kx)))
(/ (+ (* 1/2 (pow ky 2)) (* (pow kx 2) (+ (* 5/12 (pow ky 2)) (* (pow kx 2) (+ (* 37/2016 (* (pow kx 2) (pow ky 2))) (* 71/720 (pow ky 2))))))) (pow kx 3))
(/.f64 (+.f64 (*.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 ky ky) #s(literal 5/12 binary64)) (*.f64 (*.f64 kx kx) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 71/720 binary64) (*.f64 #s(literal 37/2016 binary64) (*.f64 kx kx)))))))) (*.f64 kx (*.f64 kx kx)))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.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)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.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)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.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)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.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)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.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)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.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)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.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)))))
(* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
(*.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)))))

eval165.0ms (1.1%)

Compiler

Compiled 23944 to 2881 computations (88% saved)

prune193.0ms (1.3%)

Pruning

53 alts after pruning (51 fresh and 2 done)

PrunedKeptTotal
New91342955
Fresh5914
Picked415
Done112
Total92353976
Accuracy
100.0%
Counts
976 → 53
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.1%
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
97.1%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
▶48.6%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
29.2%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
28.3%
(/.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)))
24.0%
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
29.1%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
8.5%
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 ky (*.f64 kx kx)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 kx (*.f64 kx kx))) (sin.f64 th))
5.8%
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 kx kx) (*.f64 ky (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))))))) (*.f64 kx (*.f64 kx kx))) (sin.f64 th))
50.7%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))) (sin.f64 th))
49.6%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
50.1%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
51.1%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
54.1%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
79.6%
(*.f64 (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.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 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))) (sin.f64 th))
32.4%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
▶29.6%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
18.5%
(*.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))
99.5%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 th))
92.7%
(*.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))))))
48.5%
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))))
▶29.1%
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
7.6%
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
10.4%
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
10.3%
(*.f64 (*.f64 ky (/.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
29.6%
(*.f64 (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 th))
14.5%
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky (*.f64 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)))))))) th)
49.1%
(*.f64 (*.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)))))) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
49.3%
(*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
13.7%
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
13.1%
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
23.8%
(*.f64 (sin.f64 ky) (/.f64 (*.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)))))))) (hypot.f64 ky (sin.f64 kx))))
24.0%
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (hypot.f64 ky (sin.f64 kx))))
✓99.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
54.1%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
30.2%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (-.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) (-.f64 (*.f64 ky (*.f64 ky (*.f64 ky ky))) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))))))
32.4%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
13.7%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
50.0%
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
24.8%
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
14.1%
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
51.0%
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th))))
23.9%
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
24.0%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) #s(literal -1 binary64))))
24.0%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
48.8%
(*.f64 (sin.f64 ky) (*.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)))))))
23.4%
(*.f64 (sin.f64 ky) (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
14.0%
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
58.7%
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
13.4%
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
✓24.0%
(sin.f64 th)
▶14.2%
th
Compiler

Compiled 1831 to 1213 computations (33.8% saved)

simplify266.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 th)
✓cost-diff0
(sin.f64 ky)
✓cost-diff0
(*.f64 (sin.f64 ky) (sin.f64 th))
✓cost-diff0
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
✓cost-diff0
(sin.f64 th)
✓cost-diff0
(sin.f64 ky)
✓cost-diff0
(*.f64 (sin.f64 ky) (sin.f64 th))
✓cost-diff13184
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (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
(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
5078×*-lowering-*.f32
5078×*-lowering-*.f64
4330×associate-*r*
3080×associate-/l/
2952×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02296
14896
27696
310296
431296
5133596
6193896
7208896
8216096
9218896
10220296
11220696
12288496
13291596
14293596
15293896
16293896
17300296
18300296
19300296
20406296
21409896
22410696
23412296
24412396
25430796
26433896
27436996
28437096
29437096
0979196
Stop Event
1×iter limit
1×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
(* (/ ky (sin kx)) (sin th))
(/ ky (sin kx))
ky
(sin kx)
kx
(sin th)
th
(* (* (sin ky) (sin th)) (/ 1 (sin ky)))
(* (sin ky) (sin th))
(sin ky)
ky
(sin th)
th
(/ 1 (sin ky))
1
(/ (* (sin ky) (sin th)) (sqrt (+ (* ky ky) (* (sin kx) (sin kx)))))
(* (sin ky) (sin th))
(sin ky)
ky
(sin th)
th
(sqrt (+ (* ky 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
(* (/ 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)) (/ 1 (sin ky)))
(sin.f64 th)
(* (sin ky) (sin th))
(*.f64 (sin.f64 th) (sin.f64 ky))
(sin ky)
(sin.f64 ky)
ky
(sin th)
(sin.f64 th)
th
(/ 1 (sin ky))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
1
#s(literal 1 binary64)
(/ (* (sin ky) (sin th)) (sqrt (+ (* ky ky) (* (sin kx) (sin kx)))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 ky (sin.f64 kx)))
(* (sin ky) (sin th))
(*.f64 (sin.f64 th) (sin.f64 ky))
(sin ky)
(sin.f64 ky)
ky
(sin th)
(sin.f64 th)
th
(sqrt (+ (* ky ky) (* (sin kx) (sin kx))))
(hypot.f64 ky (sin.f64 kx))
(sin kx)
(sin.f64 kx)
kx

localize171.0ms (1.2%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 kx)
✓accuracy100.0%
(hypot.f64 ky (sin.f64 kx))
✓accuracy99.7%
(*.f64 (sin.f64 ky) (sin.f64 th))
✓accuracy97.2%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
✓accuracy100.0%
(sin.f64 ky)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
✓accuracy99.7%
(*.f64 (sin.f64 ky) (sin.f64 th))
✓accuracy89.9%
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
✓accuracy100.0%
(sin.f64 th)
✓accuracy100.0%
(sin.f64 kx)
✓accuracy99.8%
(/.f64 ky (sin.f64 kx))
✓accuracy94.9%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
✓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
140.0ms256×0valid
Compiler

Compiled 110 to 18 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-sin: 23.0ms (36.5% of total)
compiled-spec: 14.0ms (22.2% of total)
ival-mult: 11.0ms (17.5% of total)
ival-div: 8.0ms (12.7% of total)
ival-sqrt: 4.0ms (6.3% of total)
ival-add: 3.0ms (4.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series42.0ms (0.3%)

Counts
13 → 300
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 (* (/ ky (sin kx)) (sin th))>
#<alt (/ ky (sin kx))>
#<alt (sin kx)>
#<alt (* (* (sin ky) (sin th)) (/ 1 (sin ky)))>
#<alt (* (sin ky) (sin th))>
#<alt (sin ky)>
#<alt (/ (* (sin ky) (sin th)) (sqrt (+ (* ky ky) (* (sin kx) (sin kx)))))>
#<alt (/ 1 (sin ky))>
#<alt (sqrt (+ (* ky 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 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)>
#<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 (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 (/ (* 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 (sin th))>
#<alt (* ky (+ (sin th) (* -1/6 (* (pow ky 2) (sin th)))))>
#<alt (* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* 1/120 (* (pow ky 2) (sin th)))))))>
#<alt (* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (sin th))) (* 1/120 (sin th))))))))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* th (sin ky))>
#<alt (* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))))>
#<alt (* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* 1/120 (* (pow th 2) (sin ky)))))))>
#<alt (* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sin ky))) (* 1/120 (sin ky))))))))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (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 (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 3/8 (/ (sin th) (pow (sin kx) 5))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 3/8 (/ (sin th) (pow (sin kx) 5))) (* (pow ky 2) (+ (* -5/16 (/ (sin th) (pow (sin kx) 7))) (+ (* -1/16 (/ (sin th) (pow (sin kx) 5))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))>
#<alt (/ (* (sin ky) (sin th)) ky)>
#<alt (/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky)>
#<alt (* -1 (/ (* (sin ky) (sin th)) ky))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (/ (* (sin ky) (sin th)) ky)>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 3))) (/ (* (sin ky) (sin th)) ky))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (* (sin ky) (sin th)) ky))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8)))))))))) (* 1/2 (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))))) (/ (* (sin ky) (sin th)) ky))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (/ 1 ky)>
#<alt (/ (+ 1 (* 1/6 (pow ky 2))) ky)>
#<alt (/ (+ 1 (* (pow ky 2) (+ 1/6 (* 7/360 (pow ky 2))))) ky)>
#<alt (/ (+ 1 (* (pow ky 2) (+ 1/6 (* (pow ky 2) (+ 7/360 (* 31/15120 (pow ky 2))))))) ky)>
#<alt (/ 1 (sin ky))>
#<alt (/ 1 (sin ky))>
#<alt (/ 1 (sin ky))>
#<alt (/ 1 (sin ky))>
#<alt (/ 1 (sin ky))>
#<alt (/ 1 (sin ky))>
#<alt (/ 1 (sin ky))>
#<alt (/ 1 (sin ky))>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/8 (/ (pow ky 2) (pow (sin kx) 3))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/16 (/ (pow ky 2) (pow (sin kx) 5))) (* 1/8 (/ 1 (pow (sin kx) 3))))) (* 1/2 (/ 1 (sin kx))))))>
#<alt ky>
#<alt (* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))>
#<alt (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))>
#<alt (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))>
#<alt (* -1 ky)>
#<alt (* -1 (* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))>
#<alt (* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))>
#<alt (* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))))>
#<alt ky>
#<alt (+ ky (* 1/2 (/ (pow kx 2) ky)))>
#<alt (+ ky (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow ky 2))))) ky)) (* 1/2 (/ 1 ky)))))>
#<alt (+ ky (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) ky)) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) (pow ky 2))))) ky)))) (* 1/2 (/ 1 ky)))))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
Calls

75 calls:

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

rewrite325.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
3170×/-lowering-/.f32
3170×/-lowering-/.f64
2774×*-lowering-*.f32
2774×*-lowering-*.f64
1270×frac-times
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02264
113964
2101564
0931264
Stop Event
1×iter limit
1×node limit
Counts
13 → 489
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))))
(* (/ ky (sin kx)) (sin th))
(/ ky (sin kx))
(sin kx)
(* (* (sin ky) (sin th)) (/ 1 (sin ky)))
(* (sin ky) (sin th))
(sin ky)
(/ (* (sin ky) (sin th)) (sqrt (+ (* ky ky) (* (sin kx) (sin kx)))))
(/ 1 (sin ky))
(sqrt (+ (* ky ky) (* (sin kx) (sin kx))))
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 #s(literal 0 binary64) (/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal -1 binary64) (sin.f64 ky)))))
(-.f64 (/.f64 (/.f64 (cos.f64 (-.f64 ky th)) #s(literal 2 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (/.f64 (cos.f64 (+.f64 th ky)) #s(literal 2 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal -1 binary64) (sin.f64 ky)))) (/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal -1 binary64) (sin.f64 ky)))))
(neg.f64 (/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal -1 binary64) (sin.f64 ky)))))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 (sin.f64 ky) (*.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (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) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.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)) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))))
(/.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 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1 binary64)))
(/.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (*.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)))
(/.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 #s(literal 0 binary64) (sin.f64 th)) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal -1 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 (*.f64 (sin.f64 th) #s(literal -1 binary64)) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal -1 binary64) (sin.f64 ky))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 th))) (*.f64 (/.f64 #s(literal 1 binary64) (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)) (-.f64 #s(literal 0 binary64) (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (*.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) #s(literal 1 binary64)) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal -1 binary64) (sin.f64 ky))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (*.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64)))
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(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 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)))
(exp.f64 (*.f64 (log.f64 (-.f64 (+.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(hypot.f64 ky (sin.f64 kx))
(hypot.f64 (sin.f64 kx) ky)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 ky (sin.f64 kx))))
(sqrt.f64 (-.f64 (+.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 ky (sin.f64 kx))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 ky ky) #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 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 ky (*.f64 ky (*.f64 ky ky))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (*.f64 ky ky))))) (hypot.f64 (*.f64 ky (*.f64 ky ky)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 ky (*.f64 ky (*.f64 ky ky))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))
(/.f64 (hypot.f64 ky (sin.f64 kx)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 ky (sin.f64 kx))) #s(literal -1 binary64))
(/.f64 (hypot.f64 (*.f64 ky (*.f64 ky ky)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (*.f64 ky (*.f64 ky (*.f64 ky ky))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (*.f64 ky ky))))))
(/.f64 (hypot.f64 (*.f64 ky (*.f64 ky ky)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (-.f64 (*.f64 ky (*.f64 ky (*.f64 ky ky))) (/.f64 (*.f64 ky ky) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 ky (*.f64 ky (*.f64 ky ky))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (+.f64 (+.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (*.f64 (*.f64 ky (*.f64 ky ky)) (*.f64 ky (*.f64 ky ky)))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 ky (*.f64 ky (*.f64 ky ky))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (*.f64 ky ky)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 ky (*.f64 ky (*.f64 ky ky))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (*.f64 ky (*.f64 ky (*.f64 ky ky))))) (sqrt.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (*.f64 ky ky))))
(/.f64 (neg.f64 (hypot.f64 (*.f64 ky (*.f64 ky ky)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (*.f64 ky (*.f64 ky (*.f64 ky ky))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (*.f64 ky ky)))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 ky (*.f64 ky (*.f64 ky ky))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))))))
(pow.f64 (-.f64 (+.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 (+.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 (+.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (-.f64 (+.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (-.f64 (+.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(*.f64 (hypot.f64 ky (sin.f64 kx)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (hypot.f64 (*.f64 ky (*.f64 ky ky)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky (*.f64 ky (*.f64 ky ky))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (*.f64 ky ky))))) #s(literal 1/2 binary64)))
(*.f64 (hypot.f64 (*.f64 ky (*.f64 ky ky)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky (*.f64 ky (*.f64 ky ky))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (*.f64 ky ky)))))))
(*.f64 (hypot.f64 (*.f64 ky (*.f64 ky ky)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (*.f64 ky (*.f64 ky (*.f64 ky ky))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (*.f64 ky ky)))))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 ky (*.f64 ky (*.f64 ky ky))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 ky (*.f64 ky (*.f64 ky ky))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 ky (*.f64 ky (*.f64 ky ky))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 ky ky) #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 (+.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (+.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64)))

simplify598.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
7794×*-lowering-*.f32
7794×*-lowering-*.f64
3936×+-lowering-+.f64
3936×+-lowering-+.f32
1678×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06324330
121873640
085533640
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
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)))
(/ (* 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 (sin th))
(* ky (+ (sin th) (* -1/6 (* (pow ky 2) (sin th)))))
(* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* 1/120 (* (pow ky 2) (sin th)))))))
(* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (sin th))) (* 1/120 (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))
(* th (sin ky))
(* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))))
(* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* 1/120 (* (pow th 2) (sin ky)))))))
(* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sin ky))) (* 1/120 (sin ky))))))))
(* (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
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 3/8 (/ (sin th) (pow (sin kx) 5))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 3/8 (/ (sin th) (pow (sin kx) 5))) (* (pow ky 2) (+ (* -5/16 (/ (sin th) (pow (sin kx) 7))) (+ (* -1/16 (/ (sin th) (pow (sin kx) 5))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(/ (* (sin ky) (sin th)) ky)
(/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky)
(* -1 (/ (* (sin ky) (sin th)) ky))
(* -1 (/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(/ (* (sin ky) (sin th)) ky)
(+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 3))) (/ (* (sin ky) (sin th)) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (* (sin ky) (sin th)) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8)))))))))) (* 1/2 (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))))) (/ (* (sin ky) (sin th)) ky))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(/ 1 ky)
(/ (+ 1 (* 1/6 (pow ky 2))) ky)
(/ (+ 1 (* (pow ky 2) (+ 1/6 (* 7/360 (pow ky 2))))) ky)
(/ (+ 1 (* (pow ky 2) (+ 1/6 (* (pow ky 2) (+ 7/360 (* 31/15120 (pow ky 2))))))) ky)
(/ 1 (sin ky))
(/ 1 (sin ky))
(/ 1 (sin ky))
(/ 1 (sin ky))
(/ 1 (sin ky))
(/ 1 (sin ky))
(/ 1 (sin ky))
(/ 1 (sin ky))
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (sin kx) (* (pow ky 2) (+ (* -1/8 (/ (pow ky 2) (pow (sin kx) 3))) (* 1/2 (/ 1 (sin kx))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/16 (/ (pow ky 2) (pow (sin kx) 5))) (* 1/8 (/ 1 (pow (sin kx) 3))))) (* 1/2 (/ 1 (sin kx))))))
ky
(* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))
(* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))
(* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))
(* -1 ky)
(* -1 (* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))))
ky
(+ ky (* 1/2 (/ (pow kx 2) ky)))
(+ ky (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow ky 2))))) ky)) (* 1/2 (/ 1 ky)))))
(+ ky (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) ky)) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) (pow ky 2))))) ky)))) (* 1/2 (/ 1 ky)))))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
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 binary64) (*.f64 #s(literal -1/6 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)))))) (* 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 (sin.f64 ky) (+.f64 (*.f64 (*.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(*.f64 th (+.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 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (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 (sin.f64 ky) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64))))) (*.f64 (*.f64 th th) (*.f64 th 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 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 ky (*.f64 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 ky (*.f64 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 (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))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
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th
(* th (+ 1 (* -1/6 (pow th 2))))
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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)
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(sin th)
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(sin th)
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(sin th)
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(sin th)
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(/ (sin kx) ky)
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(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
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1
#s(literal 1 binary64)
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(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
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(sin kx)
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kx
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(/.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))) (* 3/8 (/ (sin th) (pow (sin kx) 5))))))))) (/ (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 (*.f64 #s(literal 3/8 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 5 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))) (+ (* 3/8 (/ (sin th) (pow (sin kx) 5))) (* (pow ky 2) (+ (* -5/16 (/ (sin th) (pow (sin kx) 7))) (+ (* -1/16 (/ (sin th) (pow (sin kx) 5))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(*.f64 ky (+.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 ky (*.f64 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 #s(literal 3/8 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))))) (*.f64 (*.f64 ky ky) (+.f64 (+.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))) (+.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -5/16 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 7 binary64))))))))))))))
(/ (* (sin ky) (sin th)) ky)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky)
(/.f64 (+.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (sin.f64 ky)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky ky))) ky)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)))) (pow.f64 ky #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (sin.f64 th))) ky)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)))) (pow.f64 ky #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (pow.f64 ky #s(literal 6 binary64))))) (+.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (sin.f64 ky)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky ky)))) ky)
(* -1 (/ (* (sin ky) (sin th)) ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (-.f64 #s(literal 0 binary64) ky))
(* -1 (/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky))
(/.f64 (+.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (sin.f64 ky)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky ky))) (-.f64 #s(literal 0 binary64) ky))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)))) (pow.f64 ky #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (sin.f64 th))) (-.f64 #s(literal 0 binary64) ky))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)))) (pow.f64 ky #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (pow.f64 ky #s(literal 6 binary64))))) (+.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (sin.f64 ky)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky ky)))) (-.f64 #s(literal 0 binary64) ky))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))))
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))))) (*.f64 th (*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (+.f64 (*.f64 (*.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))))))
(*.f64 th (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (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)) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))))
(/ (* (sin ky) (sin th)) ky)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 3))) (/ (* (sin ky) (sin th)) ky))
(+.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)) (*.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 ky (*.f64 ky ky))) (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (* (sin ky) (sin th)) ky))
(+.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) ky) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 ky ky))) (*.f64 (*.f64 kx kx) (*.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 ky #s(literal 6 binary64)))))) (*.f64 ky #s(literal 1/2 binary64)))))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8)))))))))) (* 1/2 (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))))) (/ (* (sin ky) (sin th)) ky))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))))
(/ 1 ky)
(/.f64 #s(literal 1 binary64) ky)
(/ (+ 1 (* 1/6 (pow ky 2))) ky)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal 1/6 binary64)))) ky)
(/ (+ 1 (* (pow ky 2) (+ 1/6 (* 7/360 (pow ky 2))))) ky)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/6 binary64) (*.f64 ky (*.f64 ky #s(literal 7/360 binary64)))))) ky)
(/ (+ 1 (* (pow ky 2) (+ 1/6 (* (pow ky 2) (+ 7/360 (* 31/15120 (pow ky 2))))))) ky)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/6 binary64) (*.f64 ky (*.f64 ky (+.f64 #s(literal 7/360 binary64) (*.f64 ky (*.f64 ky #s(literal 31/15120 binary64))))))))) ky)
(/ 1 (sin ky))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(/ 1 (sin ky))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(/ 1 (sin ky))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(/ 1 (sin ky))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(/ 1 (sin ky))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(/ 1 (sin ky))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(/ 1 (sin ky))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(/ 1 (sin ky))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(sin kx)
(sin.f64 kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
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(+ (sin kx) (* (pow ky 2) (+ (* -1/8 (/ (pow ky 2) (pow (sin kx) 3))) (* 1/2 (/ 1 (sin kx))))))
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(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/16 (/ (pow ky 2) (pow (sin kx) 5))) (* 1/8 (/ 1 (pow (sin kx) 3))))) (* 1/2 (/ 1 (sin kx))))))
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ky
(* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky ky))))
(* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))
(*.f64 ky (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky ky))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 ky #s(literal 4 binary64)))))
(* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))
(*.f64 ky (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky ky))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 ky #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (pow.f64 ky #s(literal 6 binary64)))))
(* -1 ky)
(-.f64 #s(literal 0 binary64) ky)
(* -1 (* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky ky))) (-.f64 #s(literal 0 binary64) ky))
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky ky))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 ky #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) ky))
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))))
(*.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky ky))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 ky #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (pow.f64 ky #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) ky))
ky
(+ ky (* 1/2 (/ (pow kx 2) ky)))
(+.f64 ky (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) ky))
(+ ky (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow ky 2))))) ky)) (* 1/2 (/ 1 ky)))))
(+.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) (*.f64 ky ky)))) ky) (/.f64 #s(literal 1/2 binary64) ky))))
(+ ky (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) ky)) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) (pow ky 2))))) ky)))) (* 1/2 (/ 1 ky)))))
(+.f64 ky (*.f64 (*.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) 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) (*.f64 ky ky)))) ky) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (-.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) (*.f64 ky ky)))) (*.f64 ky ky)))) ky))))))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))

eval152.0ms (1.1%)

Compiler

Compiled 22538 to 2326 computations (89.7% saved)

prune220.0ms (1.5%)

Pruning

77 alts after pruning (72 fresh and 5 done)

PrunedKeptTotal
New1215461261
Fresh202646
Picked235
Done022
Total1237771314
Accuracy
100.0%
Counts
1314 → 77
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.2%
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (sin.f64 ky)) #s(literal 2 binary64))
99.5%
(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
24.0%
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
15.6%
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
46.7%
(/.f64 (*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 ky ky)) #s(literal -1/6 binary64)) ky) ky))) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
46.9%
(/.f64 (*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
97.1%
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
28.3%
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
21.3%
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 th (*.f64 th (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)))))) (hypot.f64 ky (sin.f64 kx)))
21.6%
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) (hypot.f64 ky (sin.f64 kx)))
31.0%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
18.8%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
▶22.3%
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (sin.f64 kx)))
49.7%
(/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
15.0%
(/.f64 (*.f64 th ky) (sin.f64 kx))
58.8%
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
20.5%
(/.f64 (*.f64 ky (sin.f64 th)) kx)
99.5%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 kx)) (sin.f64 ky)))
✓99.7%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
54.1%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
30.9%
(/.f64 (sin.f64 th) (/.f64 (+.f64 (sin.f64 kx) (*.f64 ky (*.f64 ky (+.f64 (*.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))))) ky))
32.4%
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
▶29.7%
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
28.0%
(/.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)))))
68.2%
(/.f64 (sin.f64 th) (exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal -1 binary64))))
▶99.6%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
51.1%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
24.0%
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
▶50.1%
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
98.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)))
29.3%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
29.1%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
24.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
30.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) (sin.f64 ky)))
12.2%
(-.f64 (/.f64 (/.f64 (cos.f64 (-.f64 ky th)) #s(literal 2 binary64)) (sin.f64 ky)) (/.f64 (/.f64 (cos.f64 (+.f64 th ky)) #s(literal 2 binary64)) (sin.f64 ky)))
50.7%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))) (sin.f64 th))
50.1%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
54.1%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
32.4%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
21.5%
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64)))))) (sin.f64 th))
21.6%
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th))
16.1%
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
16.4%
(*.f64 (/.f64 ky (sin.f64 kx)) th)
21.8%
(*.f64 (/.f64 ky kx) (sin.f64 th))
48.5%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (*.f64 (sin.f64 th) (sin.f64 ky)))
12.2%
(*.f64 (/.f64 #s(literal -2 binary64) (sin.f64 ky)) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
18.5%
(*.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))
28.2%
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
29.1%
(*.f64 (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
18.3%
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal 1/6 binary64)))) ky))
✓29.1%
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
18.8%
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) ky))
19.3%
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
7.6%
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
10.4%
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
10.3%
(*.f64 (*.f64 ky (/.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
18.5%
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
13.7%
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
13.1%
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
✓99.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
30.2%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (-.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) (-.f64 (*.f64 ky (*.f64 ky (*.f64 ky ky))) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))))))
32.4%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
13.7%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
50.0%
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
24.8%
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
14.1%
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
23.9%
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
24.0%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) #s(literal -1 binary64))))
24.0%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
48.8%
(*.f64 (sin.f64 ky) (*.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)))))))
23.4%
(*.f64 (sin.f64 ky) (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
▶14.0%
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
58.7%
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
13.4%
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
29.7%
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
✓24.0%
(sin.f64 th)
✓14.2%
th
Compiler

Compiled 2340 to 1584 computations (32.3% saved)

simplify31.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 ky)
✓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
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
✓cost-diff0
(hypot.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) (hypot.f64 ky (sin.f64 kx)))
✓cost-diff0
(sin.f64 kx)
✓cost-diff0
(/.f64 (sin.f64 kx) ky)
✓cost-diff0
(sin.f64 th)
✓cost-diff0
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
✓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
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓cost-diff0
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
✓cost-diff0
(sin.f64 ky)
✓cost-diff0
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
Rules
248×*-lowering-*.f32
248×*-lowering-*.f64
106×associate-*l*
88×associate-*r*
60×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027128
159126
295125
3153125
4189125
5236125
6251125
7273125
8289125
9303125
10305125
11306125
0306125
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (sin ky) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin th)))
(sin ky)
ky
(/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin th))
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
(sin kx)
kx
(sin th)
th
(* th (+ 1 (* -1/6 (* th th))))
th
(+ 1 (* -1/6 (* th th)))
1
(* -1/6 (* th th))
-1/6
(* th th)
(/ (sin th) (/ (sin kx) ky))
(sin th)
th
(/ (sin kx) ky)
(sin kx)
kx
ky
(/ (* (sin ky) th) (sqrt (+ (* ky ky) (* (sin kx) (sin kx)))))
(* (sin ky) th)
(sin ky)
ky
th
(sqrt (+ (* ky ky) (* (sin kx) (sin kx))))
(sin kx)
kx
(/ th (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)))
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
Outputs
(/ (sin ky) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(sin ky)
(sin.f64 ky)
ky
(/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin th))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 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 th)
(sin.f64 th)
th
(* 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)
(/ (sin th) (/ (sin kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(sin th)
(sin.f64 th)
th
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(sin kx)
(sin.f64 kx)
kx
ky
(/ (* (sin ky) th) (sqrt (+ (* ky ky) (* (sin kx) (sin kx)))))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (sin.f64 kx)))
(* (sin ky) th)
(*.f64 (sin.f64 ky) th)
(sin ky)
(sin.f64 ky)
ky
th
(sqrt (+ (* ky ky) (* (sin kx) (sin kx))))
(hypot.f64 ky (sin.f64 kx))
(sin kx)
(sin.f64 kx)
kx
(/ th (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
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

localize177.0ms (1.2%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 kx)
✓accuracy99.9%
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓accuracy99.8%
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
✓accuracy99.8%
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
✓accuracy100.0%
(sin.f64 kx)
✓accuracy100.0%
(hypot.f64 ky (sin.f64 kx))
✓accuracy99.8%
(*.f64 (sin.f64 ky) th)
✓accuracy97.2%
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (sin.f64 kx)))
✓accuracy100.0%
(sin.f64 th)
✓accuracy100.0%
(sin.f64 kx)
✓accuracy99.8%
(/.f64 (sin.f64 kx) ky)
✓accuracy95.0%
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
✓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))))
✓accuracy99.4%
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
✓accuracy100.0%
(sin.f64 kx)
✓accuracy99.9%
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓accuracy99.6%
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
✓accuracy99.6%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
Results
143.0ms256×0valid
Compiler

Compiled 136 to 23 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-mult: 23.0ms (26.8% of total)
ival-sin: 19.0ms (22.1% of total)
compiled-spec: 16.0ms (18.6% of total)
ival-div: 14.0ms (16.3% of total)
ival-add: 4.0ms (4.7% of total)
ival-sqrt: 4.0ms (4.7% of total)
...c/correct-round.rkt:119:19: 4.0ms (4.7% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series43.0ms (0.3%)

Counts
17 → 384
Calls
Call 1
Inputs
#<alt (/ (sin ky) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin th)))>
#<alt (sin ky)>
#<alt (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin th))>
#<alt (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 (/ (sin th) (/ (sin kx) ky))>
#<alt (sin th)>
#<alt (/ (sin kx) ky)>
#<alt (sin kx)>
#<alt (/ (* (sin ky) th) (sqrt (+ (* ky ky) (* (sin kx) (sin kx)))))>
#<alt (* (sin ky) th)>
#<alt (sqrt (+ (* ky ky) (* (sin kx) (sin kx))))>
#<alt (/ th (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)))>
#<alt (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))>
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>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (/ (sin kx) (sin th))>
#<alt (+ (* 1/2 (/ (pow ky 2) (* (sin kx) (sin th)))) (/ (sin kx) (sin th)))>
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (* (sin kx) (sin th)))) (* 1/2 (/ 1 (* (sin kx) (sin th)))))) (/ (sin kx) (sin th)))>
#<alt (+ (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (* (sin kx) (sin th)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (* (sin kx) (sin th)))))) (* 1/2 (/ 1 (* (sin kx) (sin th)))))) (/ (sin kx) (sin th)))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (/ (sin ky) (sin th))>
#<alt (+ (* 1/2 (/ (pow kx 2) (* (sin ky) (sin th)))) (/ (sin ky) (sin th)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (* (sin ky) (sin th)))) (* 1/2 (/ 1 (* (sin ky) (sin th)))))) (/ (sin ky) (sin th)))>
#<alt (+ (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (* (sin ky) (sin th)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (* (sin ky) (sin th)))))) (* 1/2 (/ 1 (* (sin ky) (sin th)))))) (/ (sin ky) (sin th)))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 th) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (/ (+ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* 1/6 (* (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) th)>
#<alt (/ (+ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* 7/360 (* (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/6 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) th)>
#<alt (/ (+ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* 1/6 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* 31/15120 (* (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 7/360 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) th)>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (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 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 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 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 (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 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 (/ kx ky)>
#<alt (* kx (+ (* -1/6 (/ (pow kx 2) ky)) (/ 1 ky)))>
#<alt (* kx (+ (* (pow kx 2) (- (* 1/120 (/ (pow kx 2) ky)) (* 1/6 (/ 1 ky)))) (/ 1 ky)))>
#<alt (* kx (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/5040 (/ (pow kx 2) ky)) (* 1/120 (/ 1 ky)))) (* 1/6 (/ 1 ky)))) (/ 1 ky)))>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<alt (/ (sin kx) ky)>
#<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) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* -1/6 (/ th (sin kx))))) (/ th (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (* 3/8 (/ th (pow (sin kx) 5))))))))) (/ th (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (+ (* 3/8 (/ th (pow (sin kx) 5))) (* (pow ky 2) (+ (* -5/16 (/ th (pow (sin kx) 7))) (+ (* -1/16 (/ th (pow (sin kx) 5))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx))))>
#<alt (/ (* th (sin ky)) ky)>
#<alt (/ (+ (* -1/2 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky))) ky)>
#<alt (/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky)))) ky)>
#<alt (/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* th (* (sin ky) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky))))) ky)>
#<alt (* -1 (/ (* th (sin ky)) ky))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky))) ky))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky)))) ky))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* th (* (sin ky) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky))))) ky))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (/ (* th (sin ky)) ky)>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (* th (sin ky))) (pow ky 3))) (/ (* th (sin ky)) ky))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* th (sin ky)) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* th (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (* th (sin ky)) ky))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* th (sin ky)) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* th (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8)))))))))) (* 1/2 (* ky (* th (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))))) (/ (* th (sin ky)) ky))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 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 (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/8 (/ (pow ky 2) (pow (sin kx) 3))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/16 (/ (pow ky 2) (pow (sin kx) 5))) (* 1/8 (/ 1 (pow (sin kx) 3))))) (* 1/2 (/ 1 (sin kx))))))>
#<alt ky>
#<alt (* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))>
#<alt (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))>
#<alt (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))>
#<alt (* -1 ky)>
#<alt (* -1 (* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))>
#<alt (* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))>
#<alt (* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))))>
#<alt ky>
#<alt (+ ky (* 1/2 (/ (pow kx 2) ky)))>
#<alt (+ ky (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow ky 2))))) ky)) (* 1/2 (/ 1 ky)))))>
#<alt (+ ky (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) ky)) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) (pow ky 2))))) ky)))) (* 1/2 (/ 1 ky)))))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (* (* th (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)))))>
#<alt (* (* th (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)))))>
#<alt (* (* th (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)))))>
#<alt (* (* th (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)))))>
#<alt (* (* th (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)))))>
#<alt (* (* th (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)))))>
#<alt (/ (* ky th) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* -1/6 (/ th (sin kx))))) (/ th (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ th (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (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 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx))))>
#<alt (* (* th (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)))))>
#<alt (* (* th (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)))))>
#<alt (* (* th (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)))))>
#<alt (* (* th (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)))))>
#<alt th>
#<alt (+ th (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2))))>
#<alt (+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))>
#<alt (+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (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 (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (* (* th (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)))))>
#<alt (* (* th (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)))))>
#<alt (* (* th (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)))))>
#<alt (* (* th (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)))))>
#<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))))>
Calls

96 calls:

TimeVariablePointExpression
16.0ms
kx
@0
(/ (* (sin ky) th) (sqrt (+ (* ky ky) (* (sin kx) (sin kx)))))
2.0ms
kx
@-inf
(/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin th))
1.0ms
ky
@0
(/ (* (sin ky) th) (sqrt (+ (* ky ky) (* (sin kx) (sin kx)))))
1.0ms
th
@0
(/ (* (sin ky) th) (sqrt (+ (* ky ky) (* (sin kx) (sin kx)))))
1.0ms
th
@inf
(/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin th))

rewrite292.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
4170×/-lowering-/.f32
4170×/-lowering-/.f64
4070×*-lowering-*.f32
4070×*-lowering-*.f64
1542×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02796
116794
2124093
0845593
Stop Event
1×iter limit
1×node limit
Counts
17 → 419
Calls
Call 1
Inputs
(/ (sin ky) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin th)))
(sin ky)
(/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin th))
(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)
(/ (sin th) (/ (sin kx) ky))
(sin th)
(/ (sin kx) ky)
(sin kx)
(/ (* (sin ky) th) (sqrt (+ (* ky ky) (* (sin kx) (sin kx)))))
(* (sin ky) th)
(sqrt (+ (* ky ky) (* (sin kx) (sin kx))))
(/ th (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)))
(/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (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 th)))) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 th)))))
(neg.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 th)))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.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) (neg.f64 (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.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 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 th))))
(/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.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) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.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) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th))) (*.f64 #s(literal 1 binary64) (-.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)) (-.f64 #s(literal 0 binary64) (sin.f64 th))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (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 (neg.f64 (/.f64 (sin.f64 ky) #s(literal 1 binary64))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 th))))
(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 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal -1 binary64)))
(*.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 (sin.f64 th) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.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 #s(literal 0 binary64) (sin.f64 ky))) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 ky)) #s(literal -1 binary64)))
(*.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 #s(literal -1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (-.f64 #s(literal 0 binary64) (sin.f64 th)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 th)))))
(*.f64 (/.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))) (/.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 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)))))
(*.f64 (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 th))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.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 #s(literal 0 binary64) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(sin.f64 ky)
(pow.f64 (sin.f64 ky) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 th))))
(neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 th))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.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)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (-.f64 #s(literal 0 binary64) (sin.f64 th)))
(/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 th))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.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 th))))
(/.f64 (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64)) (sin.f64 th))
(/.f64 (*.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.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))))) (sin.f64 th)))
(/.f64 (*.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.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 (sin.f64 th) #s(literal 1 binary64))))
(/.f64 (*.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.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 #s(literal 0 binary64) (sin.f64 th))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) #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))) (sin.f64 th)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) #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))) (/.f64 (sin.f64 th) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) #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))) (-.f64 #s(literal 0 binary64) (sin.f64 th))))
(/.f64 (*.f64 #s(literal 1 binary64) (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (*.f64 (sin.f64 th) (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 (*.f64 #s(literal 1 binary64) (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (*.f64 (/.f64 (sin.f64 th) #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 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (*.f64 (sin.f64 th) (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 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (*.f64 (/.f64 (sin.f64 th) #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 (*.f64 #s(literal -1 binary64) (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (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 (*.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (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 (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 th)))))
(/.f64 (neg.f64 (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 th)))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 1 binary64))
(pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64))
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(*.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(*.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 th))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 th))))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(*.f64 (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(*.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 th)))
(*.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 th))))
(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 #s(literal 1 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)))))))))
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(*.f64 (/.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))))
(*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 th (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal -1 binary64)))
(-.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) (neg.f64 (neg.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64))))
(/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 1 binary64))
(/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) #s(literal -1 binary64))
(/.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 (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 (*.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.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))))) (sin.f64 ky)))
(/.f64 (*.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.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 (sin.f64 ky) #s(literal 1 binary64))))
(/.f64 (*.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.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 #s(literal 0 binary64) (sin.f64 ky))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) #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))) (sin.f64 ky)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) #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))) (/.f64 (sin.f64 ky) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) #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))) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))
(/.f64 (*.f64 #s(literal 1 binary64) (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (*.f64 (sin.f64 ky) (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 (*.f64 #s(literal 1 binary64) (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (*.f64 (/.f64 (sin.f64 ky) #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 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (*.f64 (sin.f64 ky) (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 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (*.f64 (/.f64 (sin.f64 ky) #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 (*.f64 #s(literal -1 binary64) (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (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 (*.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (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 (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))
(*.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 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 1 binary64))
(*.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 #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 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (*.f64 (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) (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))))

simplify443.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
9070×*-lowering-*.f32
9070×*-lowering-*.f64
4718×+-lowering-+.f64
4718×+-lowering-+.f32
1812×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07065740
124894822
093204822
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
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
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(/ (sin kx) (sin th))
(+ (* 1/2 (/ (pow ky 2) (* (sin kx) (sin th)))) (/ (sin kx) (sin th)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (* (sin kx) (sin th)))) (* 1/2 (/ 1 (* (sin kx) (sin th)))))) (/ (sin kx) (sin th)))
(+ (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (* (sin kx) (sin th)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (* (sin kx) (sin th)))))) (* 1/2 (/ 1 (* (sin kx) (sin th)))))) (/ (sin kx) (sin th)))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/ (sin ky) (sin th))
(+ (* 1/2 (/ (pow kx 2) (* (sin ky) (sin th)))) (/ (sin ky) (sin th)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (* (sin ky) (sin th)))) (* 1/2 (/ 1 (* (sin ky) (sin th)))))) (/ (sin ky) (sin th)))
(+ (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (* (sin ky) (sin th)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (* (sin ky) (sin th)))))) (* 1/2 (/ 1 (* (sin ky) (sin th)))))) (/ (sin ky) (sin th)))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 th) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/ (+ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* 1/6 (* (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) th)
(/ (+ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* 7/360 (* (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/6 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) th)
(/ (+ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* 1/6 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* 31/15120 (* (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 7/360 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) th)
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (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)))
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 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 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 (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))
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)
(/ kx ky)
(* kx (+ (* -1/6 (/ (pow kx 2) ky)) (/ 1 ky)))
(* kx (+ (* (pow kx 2) (- (* 1/120 (/ (pow kx 2) ky)) (* 1/6 (/ 1 ky)))) (/ 1 ky)))
(* kx (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/5040 (/ (pow kx 2) ky)) (* 1/120 (/ 1 ky)))) (* 1/6 (/ 1 ky)))) (/ 1 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)
(/ (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
(* 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) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* -1/6 (/ th (sin kx))))) (/ th (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (* 3/8 (/ th (pow (sin kx) 5))))))))) (/ th (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (+ (* 3/8 (/ th (pow (sin kx) 5))) (* (pow ky 2) (+ (* -5/16 (/ th (pow (sin kx) 7))) (+ (* -1/16 (/ th (pow (sin kx) 5))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx))))
(/ (* th (sin ky)) ky)
(/ (+ (* -1/2 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky))) ky)
(/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky)))) ky)
(/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* th (* (sin ky) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky))))) ky)
(* -1 (/ (* th (sin ky)) ky))
(* -1 (/ (+ (* -1/2 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky))) ky))
(* -1 (/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky)))) ky))
(* -1 (/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* th (* (sin ky) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky))))) ky))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(/ (* th (sin ky)) ky)
(+ (* -1/2 (/ (* (pow kx 2) (* th (sin ky))) (pow ky 3))) (/ (* th (sin ky)) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (sin ky)) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* th (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (* th (sin ky)) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (sin ky)) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* th (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8)))))))))) (* 1/2 (* ky (* th (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))))) (/ (* th (sin ky)) ky))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 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))
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (sin kx) (* (pow ky 2) (+ (* -1/8 (/ (pow ky 2) (pow (sin kx) 3))) (* 1/2 (/ 1 (sin kx))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/16 (/ (pow ky 2) (pow (sin kx) 5))) (* 1/8 (/ 1 (pow (sin kx) 3))))) (* 1/2 (/ 1 (sin kx))))))
ky
(* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))
(* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))
(* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))
(* -1 ky)
(* -1 (* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))))
ky
(+ ky (* 1/2 (/ (pow kx 2) ky)))
(+ ky (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow ky 2))))) ky)) (* 1/2 (/ 1 ky)))))
(+ ky (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) ky)) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) (pow ky 2))))) ky)))) (* 1/2 (/ 1 ky)))))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(* (* th (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)))))
(* (* th (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)))))
(* (* th (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)))))
(* (* th (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)))))
(* (* th (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)))))
(* (* th (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)))))
(/ (* ky th) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* -1/6 (/ th (sin kx))))) (/ th (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ th (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (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 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx))))
(* (* th (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)))))
(* (* th (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)))))
(* (* th (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)))))
(* (* th (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)))))
th
(+ th (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2))))
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (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 (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(* (* th (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)))))
(* (* th (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)))))
(* (* th (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)))))
(* (* th (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)))))
(/ (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))))
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 (*.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 (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 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/120 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))))))) (* (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 -1/2 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 (*.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 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)))) (*.f64 ky (*.f64 ky (+.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (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 -1/240 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)))) (*.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)))))))))))))
(* (* (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 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))) (* 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 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (*.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 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.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 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.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 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* 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 th (*.f64 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 #s(literal 1/120 binary64) (*.f64 th (*.f64 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 #s(literal -1/6 binary64) (*.f64 th (*.f64 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 #s(literal -1/5040 binary64) (*.f64 th (*.f64 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
(* 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))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
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(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(/ (* ky th) (sin kx))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(* th (+ (* -1/6 (/ (* ky (pow th 2)) (sin kx))) (/ ky (sin kx))))
(*.f64 th (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th))) (sin.f64 kx)) (/.f64 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 (*.f64 #s(literal -1/6 binary64) ky) (sin.f64 kx)) (/.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 th th))) (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 th (*.f64 th (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) ky) (sin.f64 kx)) (*.f64 (*.f64 th th) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 th th)) ky) (sin.f64 kx)) (*.f64 #s(literal 1/120 binary64) (/.f64 ky (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 th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/ (+ (* 1/6 (* (pow kx 2) (* ky (sin th)))) (* ky (sin th))) kx)
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 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)
(/.f64 (+.f64 (*.f64 ky (sin.f64 th)) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (*.f64 (*.f64 ky (sin.f64 th)) #s(literal 7/360 binary64))) (*.f64 (*.f64 ky (sin.f64 th)) #s(literal 1/6 binary64))))) 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)
(/.f64 (+.f64 (*.f64 ky (sin.f64 th)) (*.f64 kx (*.f64 kx (+.f64 (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 ky (sin.f64 th)) #s(literal 1/840 binary64)) (*.f64 (*.f64 ky (sin.f64 th)) #s(literal -7/2160 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky (sin.f64 th)) #s(literal 7/360 binary64)))) (*.f64 (*.f64 ky (sin.f64 th)) #s(literal 1/6 binary64)))))) 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 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 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))
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 (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 th th)) #s(literal -1/6 binary64)) 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 th (*.f64 th (+.f64 (*.f64 (*.f64 th th) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 th th)))) #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)
(sin.f64 th)
(/ kx ky)
(/.f64 kx ky)
(* kx (+ (* -1/6 (/ (pow kx 2) ky)) (/ 1 ky)))
(*.f64 kx (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 kx kx) ky)) (/.f64 #s(literal 1 binary64) ky)))
(* kx (+ (* (pow kx 2) (- (* 1/120 (/ (pow kx 2) ky)) (* 1/6 (/ 1 ky)))) (/ 1 ky)))
(*.f64 kx (+.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal -1/6 binary64) ky)))))
(* kx (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/5040 (/ (pow kx 2) ky)) (* 1/120 (/ 1 ky)))) (* 1/6 (/ 1 ky)))) (/ 1 ky)))
(*.f64 kx (+.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 kx (*.f64 kx (+.f64 (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1/120 binary64) ky))) (/.f64 #s(literal -1/6 binary64) ky))))))
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) 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 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 kx (*.f64 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)
(/ (* ky th) (sin kx))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* -1/6 (/ th (sin kx))))) (/ th (sin kx))))
(*.f64 ky (+.f64 (/.f64 th (sin.f64 kx)) (*.f64 ky (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 th #s(literal -1/6 binary64)) (sin.f64 kx)))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (* 3/8 (/ th (pow (sin kx) 5))))))))) (/ th (sin kx))))
(*.f64 ky (+.f64 (/.f64 th (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 th #s(literal -1/6 binary64)) (sin.f64 kx))) (*.f64 ky (*.f64 ky (+.f64 (/.f64 (*.f64 th #s(literal 1/120 binary64)) (sin.f64 kx)) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 3/8 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))))))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (+ (* 3/8 (/ th (pow (sin kx) 5))) (* (pow ky 2) (+ (* -5/16 (/ th (pow (sin kx) 7))) (+ (* -1/16 (/ th (pow (sin kx) 5))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx))))
(*.f64 ky (+.f64 (/.f64 th (sin.f64 kx)) (*.f64 ky (*.f64 ky (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 th #s(literal -1/6 binary64)) (sin.f64 kx))) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 (/.f64 (*.f64 th #s(literal 1/120 binary64)) (sin.f64 kx)) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 3/8 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))))) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -5/16 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 7 binary64))) (+.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))) (+.f64 (/.f64 (*.f64 #s(literal -1/240 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/5040 binary64) th) (sin.f64 kx)))))))))))))
(/ (* th (sin ky)) ky)
(/.f64 (*.f64 th (sin.f64 ky)) ky)
(/ (+ (* -1/2 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky))) ky)
(/.f64 (+.f64 (*.f64 th (sin.f64 ky)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) th) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (sin.f64 ky))) (*.f64 ky ky))) ky)
(/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky)))) ky)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 th (sin.f64 ky)) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 ky #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 th (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) ky) (/.f64 (sin.f64 ky) ky)))) (*.f64 th (sin.f64 ky))) ky)
(/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* th (* (sin ky) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky))))) ky)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 th (sin.f64 ky)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (pow.f64 ky #s(literal 6 binary64))) (*.f64 (/.f64 (*.f64 th (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) ky) (/.f64 (sin.f64 ky) ky)))) (+.f64 (*.f64 th (sin.f64 ky)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th (sin.f64 ky))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 ky #s(literal 4 binary64))))) ky)
(* -1 (/ (* th (sin ky)) ky))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 th (sin.f64 ky)) ky))
(* -1 (/ (+ (* -1/2 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky))) ky))
(/.f64 (+.f64 (*.f64 th (sin.f64 ky)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) th) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (sin.f64 ky))) (*.f64 ky ky))) (-.f64 #s(literal 0 binary64) ky))
(* -1 (/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky)))) ky))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 th (sin.f64 ky)) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 ky #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 th (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) ky) (/.f64 (sin.f64 ky) ky)))) (*.f64 th (sin.f64 ky))) (-.f64 #s(literal 0 binary64) ky))
(* -1 (/ (+ (* -1/2 (/ (* th (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* th (* (sin ky) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* th (* (pow (sin kx) 2) (sin ky))) (pow ky 2))) (* th (sin ky))))) ky))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 th (sin.f64 ky)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (pow.f64 ky #s(literal 6 binary64))) (*.f64 (/.f64 (*.f64 th (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) ky) (/.f64 (sin.f64 ky) ky)))) (+.f64 (*.f64 th (sin.f64 ky)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th (sin.f64 ky))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 ky #s(literal 4 binary64))))) ky))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(/ (* th (sin ky)) ky)
(/.f64 (*.f64 th (sin.f64 ky)) ky)
(+ (* -1/2 (/ (* (pow kx 2) (* th (sin ky))) (pow ky 3))) (/ (* th (sin ky)) ky))
(+.f64 (/.f64 (*.f64 th (sin.f64 ky)) ky) (*.f64 (*.f64 kx kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th (sin.f64 ky))) (*.f64 ky (*.f64 ky ky)))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (sin ky)) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* th (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (* th (sin ky)) ky))
(+.f64 (/.f64 (*.f64 th (sin.f64 ky)) ky) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th (sin.f64 ky))) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 kx kx) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) ky) (*.f64 th (sin.f64 ky))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 ky #s(literal 6 binary64)))))))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (sin ky)) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* th (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8)))))))))) (* 1/2 (* ky (* th (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))))) (/ (* th (sin ky)) ky))
(+.f64 (/.f64 (*.f64 th (sin.f64 ky)) ky) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th (sin.f64 ky))) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 kx kx) ky) (*.f64 th (sin.f64 ky))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 ky #s(literal 6 binary64))))) (*.f64 ky ky)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 ky #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ky #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 ky #s(literal 4 binary64)))))))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) ky) (*.f64 th (sin.f64 ky))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 ky #s(literal 6 binary64))))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* ky th)
(*.f64 ky th)
(* ky (+ th (* -1/6 (* (pow ky 2) th))))
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64)))) th))
(* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* 1/120 (* (pow ky 2) th))))))
(*.f64 ky (+.f64 th (*.f64 ky (*.f64 ky (*.f64 th (+.f64 (*.f64 (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) th)) (* 1/120 th)))))))
(*.f64 ky (+.f64 th (*.f64 (*.f64 ky ky) (+.f64 (*.f64 th #s(literal -1/6 binary64)) (*.f64 ky (*.f64 ky (*.f64 th (+.f64 #s(literal 1/120 binary64) (*.f64 ky (*.f64 ky #s(literal -1/5040 binary64)))))))))))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (sin ky))
(*.f64 th (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) (+ (* -1/8 (/ (pow ky 2) (pow (sin kx) 3))) (* 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 -1/8 binary64) (*.f64 ky ky)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/16 (/ (pow ky 2) (pow (sin kx) 5))) (* 1/8 (/ 1 (pow (sin kx) 3))))) (* 1/2 (/ 1 (sin kx))))))
(+.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 1/16 binary64) (*.f64 ky ky)) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))))
ky
(* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky ky))))
(* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky ky)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 ky #s(literal 4 binary64))))))
(* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 ky #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky ky)) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (pow.f64 ky #s(literal 6 binary64)))))))
(* -1 ky)
(-.f64 #s(literal 0 binary64) ky)
(* -1 (* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))
(-.f64 #s(literal 0 binary64) (*.f64 ky (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky ky)))))
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky ky)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 ky #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) ky))
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 ky #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky ky)) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (pow.f64 ky #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) ky))
ky
(+ ky (* 1/2 (/ (pow kx 2) ky)))
(+.f64 ky (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) ky))
(+ ky (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow ky 2))))) ky)) (* 1/2 (/ 1 ky)))))
(+.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) (*.f64 ky ky)))) ky) (/.f64 #s(literal 1/2 binary64) ky))))
(+ ky (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) ky)) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) (pow ky 2))))) ky)))) (* 1/2 (/ 1 ky)))))
(+.f64 ky (*.f64 (*.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) 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) (*.f64 ky ky)))) ky) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (-.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) (*.f64 ky ky)))) (*.f64 ky ky)))) ky))))))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(* (* 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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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)))
(/ (* ky th) (sin kx))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* -1/6 (/ th (sin kx))))) (/ th (sin kx))))
(*.f64 ky (+.f64 (/.f64 th (sin.f64 kx)) (*.f64 ky (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 th #s(literal -1/6 binary64)) (sin.f64 kx)))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ th (sin kx))))
(*.f64 ky (+.f64 (/.f64 th (sin.f64 kx)) (*.f64 ky (*.f64 ky (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 th #s(literal -1/6 binary64)) (sin.f64 kx))) (*.f64 ky (*.f64 ky (+.f64 (/.f64 (*.f64 th #s(literal 1/120 binary64)) (sin.f64 kx)) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.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))))))))))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (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 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx))))
(*.f64 ky (+.f64 (/.f64 th (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 th #s(literal -1/6 binary64)) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 th #s(literal 1/120 binary64)) (sin.f64 kx)) (+.f64 (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.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)))))) (*.f64 ky (*.f64 ky (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/240 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/5040 binary64) th) (sin.f64 kx))) (+.f64 (*.f64 (*.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 th #s(literal -1/12 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th (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)))))))))))))))))))
(* (* 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 (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 (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 (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 (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 (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 (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 (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
(+ th (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2))))
(+.f64 th (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+.f64 th (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 kx kx) (*.f64 #s(literal 1/2 binary64) th)) (*.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)))))))))
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (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 (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(+.f64 th (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (*.f64 (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 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 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)))))))))))
(* (* 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 (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 (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 (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 (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 (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 (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 (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)))
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky)
(/.f64 (+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (sin.f64 kx) #s(literal 1/6 binary64))))) 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)
(/.f64 (+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (sin.f64 kx) #s(literal 1/6 binary64))) (*.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 (sin.f64 kx) #s(literal 7/360 binary64)) (/.f64 #s(literal 1/12 binary64) (sin.f64 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)
(/.f64 (+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (sin.f64 kx) #s(literal 1/6 binary64))) (*.f64 ky (*.f64 ky (+.f64 (+.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 (sin.f64 kx) #s(literal 7/360 binary64)) (/.f64 #s(literal 1/12 binary64) (sin.f64 kx)))) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 (/.f64 #s(literal 7/720 binary64) (sin.f64 kx)) (/.f64 (+.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/2 binary64) (*.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)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 kx))) (+.f64 (*.f64 (sin.f64 kx) #s(literal 31/15120 binary64)) (/.f64 (+.f64 #s(literal -1/36 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/12 binary64))) (sin.f64 kx))))))))))) ky)
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
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) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (pow (sin ky) 2))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+.f64 #s(literal 1 binary64) (*.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))))) (pow.f64 (sin.f64 ky) #s(literal 2 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 (/ (+ 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))))))
(+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.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))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.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)))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))

eval199.0ms (1.4%)

Compiler

Compiled 17993 to 2041 computations (88.7% saved)

prune266.0ms (1.8%)

Pruning

109 alts after pruning (101 fresh and 8 done)

PrunedKeptTotal
New91459973
Fresh254267
Picked235
Done055
Total9411091050
Accuracy
100.0%
Counts
1050 → 109
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.2%
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (sin.f64 ky)) #s(literal 2 binary64))
99.5%
(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
24.0%
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
99.5%
(/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
11.1%
(/.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))))
13.5%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))
15.6%
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
13.2%
(/.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)))))
46.7%
(/.f64 (*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 ky ky)) #s(literal -1/6 binary64)) ky) ky))) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
46.9%
(/.f64 (*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
28.3%
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
21.6%
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) (hypot.f64 ky (sin.f64 kx)))
18.8%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
47.5%
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
16.0%
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64)))))))
16.1%
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))
16.2%
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky kx))
16.7%
(/.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)))))))
10.2%
(/.f64 (*.f64 (sin.f64 ky) th) (-.f64 #s(literal 0 binary64) ky))
14.4%
(/.f64 (*.f64 (sin.f64 ky) th) (+.f64 ky (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) ky)))
13.7%
(/.f64 (*.f64 (sin.f64 ky) th) (+.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) (*.f64 ky ky)))) ky) (/.f64 #s(literal 1/2 binary64) ky)))))
16.9%
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
16.8%
(/.f64 (*.f64 (sin.f64 ky) th) (exp.f64 (*.f64 (log.f64 (-.f64 (+.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
13.1%
(/.f64 (*.f64 (sin.f64 ky) th) ky)
49.7%
(/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
16.1%
(/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
20.6%
(/.f64 (*.f64 ky (+.f64 th (*.f64 ky (*.f64 ky (*.f64 th (+.f64 (*.f64 (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) (hypot.f64 ky (sin.f64 kx)))
20.8%
(/.f64 (*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64)))) th)) (hypot.f64 ky (sin.f64 kx)))
58.8%
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
20.5%
(/.f64 (*.f64 ky (sin.f64 th)) kx)
28.4%
(/.f64 (*.f64 ky th) (hypot.f64 ky (sin.f64 kx)))
99.5%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 kx)) (sin.f64 ky)))
✓99.7%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
21.6%
(/.f64 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64))))) ky))
21.6%
(/.f64 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
✓29.7%
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
21.9%
(/.f64 (sin.f64 th) (/.f64 kx ky))
21.5%
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 kx (*.f64 kx (+.f64 (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1/120 binary64) ky))) (/.f64 #s(literal -1/6 binary64) ky)))))))
21.6%
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 kx kx) ky)) (/.f64 #s(literal 1 binary64) ky))))
50.7%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) (sin.f64 kx)) (sin.f64 th)))
✓99.6%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
50.0%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
51.1%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
24.0%
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
32.4%
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
24.5%
(/.f64 th (/.f64 (hypot.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) (sin.f64 kx)) (sin.f64 ky)))
30.7%
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64)))))) (sin.f64 ky)))
30.7%
(/.f64 th (/.f64 (hypot.f64 (sin.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 ky)))
30.7%
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
✓50.1%
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
30.8%
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
24.8%
(/.f64 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
41.9%
(/.f64 th (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 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))))))))) (sin.f64 ky)))
17.7%
(/.f64 th (/.f64 (+.f64 (sin.f64 kx) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))) (sin.f64 ky)))
17.8%
(/.f64 th (/.f64 (+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (sin.f64 kx) #s(literal 1/6 binary64))))) ky))
42.0%
(/.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)))
18.3%
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
16.4%
(/.f64 th (/.f64 (sin.f64 kx) ky))
20.3%
(/.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)))))
98.7%
(/.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))))
98.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)))
29.3%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
98.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
11.1%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))) (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))))))
13.5%
(/.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)))
24.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
30.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) (sin.f64 ky)))
12.2%
(-.f64 (/.f64 (/.f64 (cos.f64 (-.f64 ky th)) #s(literal 2 binary64)) (sin.f64 ky)) (/.f64 (/.f64 (cos.f64 (+.f64 th ky)) #s(literal 2 binary64)) (sin.f64 ky)))
14.0%
(+.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) th)
11.0%
(+.f64 th (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
54.1%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th))
32.4%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
50.0%
(*.f64 (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
21.5%
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64)))))) (sin.f64 th))
21.8%
(*.f64 (/.f64 ky kx) (sin.f64 th))
48.5%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (*.f64 (sin.f64 th) (sin.f64 ky)))
12.2%
(*.f64 (/.f64 #s(literal -2 binary64) (sin.f64 ky)) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
11.1%
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))))
18.5%
(*.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))
14.0%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
29.1%
(*.f64 (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
18.3%
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal 1/6 binary64)))) ky))
✓29.1%
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
18.8%
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) ky))
19.3%
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
5.4%
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))
7.6%
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
10.4%
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
13.7%
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
13.1%
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky))
✓99.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
32.4%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
14.1%
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
23.9%
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
24.0%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) #s(literal -1 binary64))))
24.0%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
13.2%
(*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) (+.f64 (*.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))))))
13.0%
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th))) (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))))) #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))))) (+.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)))))))
13.5%
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)))))
14.0%
(*.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)))))))
13.5%
(*.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)))))
5.0%
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))))
9.9%
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
58.7%
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
13.4%
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
16.4%
(*.f64 ky (/.f64 th (sin.f64 kx)))
9.9%
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
✓24.0%
(sin.f64 th)
✓14.2%
th
Compiler

Compiled 4510 to 1831 computations (59.4% saved)

regimes538.0ms (3.7%)

Counts
168 → 1
Calls
Call 1
Inputs
th
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th 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 (*.f64 (*.f64 th 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 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))
(*.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 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.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 #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 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))) (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th 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 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) (+.f64 (*.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))))))
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(/.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 (/.f64 #s(literal 1 binary64) (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)) (sin.f64 ky)) (sin.f64 th)))
(/.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 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.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 (sin.f64 th) (/.f64 (hypot.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky (*.f64 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)))))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (*.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 (sqrt.f64 (/.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 (sin.f64 ky) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (-.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) (-.f64 (*.f64 ky (*.f64 ky (*.f64 ky ky))) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))))))
(*.f64 (exp.f64 (log.f64 (sin.f64 ky))) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 th) (exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 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 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.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 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))) (sin.f64 th))
Outputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
Calls

9 calls:

90.0ms
kx
66.0ms
(sin.f64 kx)
65.0ms
(sin.f64 th)
50.0ms
ky
50.0ms
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
Results
AccuracySegmentsBranch
99.7%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)

regimes338.0ms (2.3%)

Counts
148 → 1
Calls
Call 1
Inputs
th
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th 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 (*.f64 (*.f64 th 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 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))
(*.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 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.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 #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 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))) (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th 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 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th))) (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))))) #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))))) (+.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)))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(/.f64 (*.f64 (sin.f64 ky) th) (-.f64 #s(literal 0 binary64) ky))
(*.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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (+.f64 ky (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) ky)))
(/.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 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 kx kx) ky)) (/.f64 #s(literal 1 binary64) ky))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64))))) ky))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 ky (*.f64 kx kx)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 kx (*.f64 kx kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) th) (+.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) (*.f64 ky ky)))) ky) (/.f64 #s(literal 1/2 binary64) ky)))))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 kx (*.f64 kx (+.f64 (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1/120 binary64) ky))) (/.f64 #s(literal -1/6 binary64) ky)))))))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 kx kx) (*.f64 ky (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))))))) (*.f64 kx (*.f64 kx kx))) (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 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky th) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky kx))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) ky))
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(+.f64 th (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/.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 (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) (sin.f64 th)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal 1/6 binary64)))) ky))
(/.f64 (*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64)))) th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))
(/.f64 (*.f64 ky (+.f64 th (*.f64 ky (*.f64 ky (*.f64 th (+.f64 (*.f64 (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64)))))))
(*.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 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 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (sin.f64 kx)))
(*.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 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (sin.f64 ky)) #s(literal 2 binary64))
(*.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 th (/.f64 (+.f64 (sin.f64 kx) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 th (/.f64 (+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (sin.f64 kx) #s(literal 1/6 binary64))))) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)))))))
(*.f64 (*.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)))))) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 (sin.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 ky)))
(/.f64 (*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 ky ky)) #s(literal -1/6 binary64)) ky) ky))) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(*.f64 (/.f64 #s(literal -2 binary64) (sin.f64 ky)) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (*.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)))))))) (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64)))))) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 th (*.f64 th (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)))))) (hypot.f64 ky (sin.f64 kx)))
(*.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 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.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 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) #s(literal -1 binary64))))
(*.f64 (sin.f64 ky) (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(-.f64 (/.f64 (/.f64 (cos.f64 (-.f64 ky th)) #s(literal 2 binary64)) (sin.f64 ky)) (/.f64 (/.f64 (cos.f64 (+.f64 th ky)) #s(literal 2 binary64)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (+.f64 (sin.f64 kx) (*.f64 ky (*.f64 ky (+.f64 (*.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))))) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (exp.f64 (*.f64 (log.f64 (-.f64 (+.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(/.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 ky (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky (*.f64 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)))))))) th)
(/.f64 th (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 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))))))))) (sin.f64 ky)))
(*.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)))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
Calls

7 calls:

53.0ms
(sin.f64 th)
47.0ms
th
46.0ms
(sin.f64 kx)
44.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
43.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
99.6%1kx
99.6%1ky
99.6%1th
99.6%1(sin.f64 ky)
99.6%1(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
99.6%1(sin.f64 kx)
99.6%1(sin.f64 th)
Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes363.0ms (2.5%)

Counts
146 → 1
Calls
Call 1
Inputs
th
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th 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 (*.f64 (*.f64 th 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 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))
(*.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 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.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 #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 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))) (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th 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 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th))) (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))))) #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))))) (+.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)))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(/.f64 (*.f64 (sin.f64 ky) th) (-.f64 #s(literal 0 binary64) ky))
(*.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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (+.f64 ky (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) ky)))
(/.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 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 kx kx) ky)) (/.f64 #s(literal 1 binary64) ky))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64))))) ky))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 ky (*.f64 kx kx)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 kx (*.f64 kx kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) th) (+.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) (*.f64 ky ky)))) ky) (/.f64 #s(literal 1/2 binary64) ky)))))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 kx (*.f64 kx (+.f64 (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1/120 binary64) ky))) (/.f64 #s(literal -1/6 binary64) ky)))))))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 kx kx) (*.f64 ky (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))))))) (*.f64 kx (*.f64 kx kx))) (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 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky th) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky kx))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) ky))
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(+.f64 th (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/.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 (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) (sin.f64 th)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal 1/6 binary64)))) ky))
(/.f64 (*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64)))) th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))
(/.f64 (*.f64 ky (+.f64 th (*.f64 ky (*.f64 ky (*.f64 th (+.f64 (*.f64 (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64)))))))
(*.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 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 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (sin.f64 kx)))
(*.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 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (sin.f64 ky)) #s(literal 2 binary64))
(*.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 th (/.f64 (+.f64 (sin.f64 kx) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 th (/.f64 (+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (sin.f64 kx) #s(literal 1/6 binary64))))) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)))))))
(*.f64 (*.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)))))) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 (sin.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 ky)))
(/.f64 (*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 ky ky)) #s(literal -1/6 binary64)) ky) ky))) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(*.f64 (/.f64 #s(literal -2 binary64) (sin.f64 ky)) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (*.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)))))))) (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64)))))) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 th (*.f64 th (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)))))) (hypot.f64 ky (sin.f64 kx)))
(*.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 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.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 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) #s(literal -1 binary64))))
(*.f64 (sin.f64 ky) (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(-.f64 (/.f64 (/.f64 (cos.f64 (-.f64 ky th)) #s(literal 2 binary64)) (sin.f64 ky)) (/.f64 (/.f64 (cos.f64 (+.f64 th ky)) #s(literal 2 binary64)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (+.f64 (sin.f64 kx) (*.f64 ky (*.f64 ky (+.f64 (*.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))))) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (exp.f64 (*.f64 (log.f64 (-.f64 (+.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(/.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 ky (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky (*.f64 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)))))))) th)
(/.f64 th (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 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))))))))) (sin.f64 ky)))
(*.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

7 calls:

71.0ms
(sin.f64 th)
49.0ms
(sin.f64 ky)
46.0ms
kx
45.0ms
ky
42.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.6%1kx
99.6%1ky
99.6%1th
99.6%1(sin.f64 ky)
99.6%1(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
99.6%1(sin.f64 kx)
99.6%1(sin.f64 th)
Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes361.0ms (2.5%)

Counts
145 → 2
Calls
Call 1
Inputs
th
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th 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 (*.f64 (*.f64 th 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 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))
(*.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 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.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 #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 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))) (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th 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 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th))) (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))))) #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))))) (+.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)))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(/.f64 (*.f64 (sin.f64 ky) th) (-.f64 #s(literal 0 binary64) ky))
(*.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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (+.f64 ky (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) ky)))
(/.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 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 kx kx) ky)) (/.f64 #s(literal 1 binary64) ky))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64))))) ky))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 ky (*.f64 kx kx)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 kx (*.f64 kx kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) th) (+.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) (*.f64 ky ky)))) ky) (/.f64 #s(literal 1/2 binary64) ky)))))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 kx (*.f64 kx (+.f64 (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1/120 binary64) ky))) (/.f64 #s(literal -1/6 binary64) ky)))))))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 kx kx) (*.f64 ky (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))))))) (*.f64 kx (*.f64 kx kx))) (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 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky th) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky kx))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) ky))
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(+.f64 th (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/.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 (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) (sin.f64 th)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal 1/6 binary64)))) ky))
(/.f64 (*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64)))) th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))
(/.f64 (*.f64 ky (+.f64 th (*.f64 ky (*.f64 ky (*.f64 th (+.f64 (*.f64 (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64)))))))
(*.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 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 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (sin.f64 kx)))
(*.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 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (sin.f64 ky)) #s(literal 2 binary64))
(*.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 th (/.f64 (+.f64 (sin.f64 kx) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 th (/.f64 (+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (sin.f64 kx) #s(literal 1/6 binary64))))) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)))))))
(*.f64 (*.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)))))) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 (sin.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 ky)))
(/.f64 (*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 ky ky)) #s(literal -1/6 binary64)) ky) ky))) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(*.f64 (/.f64 #s(literal -2 binary64) (sin.f64 ky)) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (*.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)))))))) (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64)))))) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 th (*.f64 th (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)))))) (hypot.f64 ky (sin.f64 kx)))
(*.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 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.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 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) #s(literal -1 binary64))))
(*.f64 (sin.f64 ky) (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(-.f64 (/.f64 (/.f64 (cos.f64 (-.f64 ky th)) #s(literal 2 binary64)) (sin.f64 ky)) (/.f64 (/.f64 (cos.f64 (+.f64 th ky)) #s(literal 2 binary64)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (+.f64 (sin.f64 kx) (*.f64 ky (*.f64 ky (+.f64 (*.f64 (sin.f64 kx) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))))) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (exp.f64 (*.f64 (log.f64 (-.f64 (+.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(/.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 ky (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky (*.f64 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)))))))) th)
(/.f64 th (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 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))))))))) (sin.f64 ky)))
Outputs
(/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
Calls

7 calls:

60.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
54.0ms
ky
46.0ms
th
45.0ms
(sin.f64 th)
45.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
77.3%3kx
80.4%4ky
80.4%2th
78.5%4(sin.f64 ky)
78.8%4(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
76.5%3(sin.f64 kx)
80.3%3(sin.f64 th)
Compiler

Compiled 34 to 27 computations (20.6% saved)

regimes61.0ms (0.4%)

Counts
138 → 2
Calls
Call 1
Inputs
th
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th 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 (*.f64 (*.f64 th 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 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))
(*.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 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.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 #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 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))) (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th 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 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th))) (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))))) #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))))) (+.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)))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(/.f64 (*.f64 (sin.f64 ky) th) (-.f64 #s(literal 0 binary64) ky))
(*.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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (+.f64 ky (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) ky)))
(/.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 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 kx kx) ky)) (/.f64 #s(literal 1 binary64) ky))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64))))) ky))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 ky (*.f64 kx kx)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 kx (*.f64 kx kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) th) (+.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) (*.f64 ky ky)))) ky) (/.f64 #s(literal 1/2 binary64) ky)))))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 kx (*.f64 kx (+.f64 (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1/120 binary64) ky))) (/.f64 #s(literal -1/6 binary64) ky)))))))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 kx kx) (*.f64 ky (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))))))) (*.f64 kx (*.f64 kx kx))) (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 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky th) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky kx))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) ky))
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(+.f64 th (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/.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 (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) (sin.f64 th)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal 1/6 binary64)))) ky))
(/.f64 (*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64)))) th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))
(/.f64 (*.f64 ky (+.f64 th (*.f64 ky (*.f64 ky (*.f64 th (+.f64 (*.f64 (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64)))))))
(*.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 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 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (sin.f64 kx)))
(*.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 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (sin.f64 ky)) #s(literal 2 binary64))
(*.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 th (/.f64 (+.f64 (sin.f64 kx) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 th (/.f64 (+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (sin.f64 kx) #s(literal 1/6 binary64))))) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)))))))
(*.f64 (*.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)))))) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 (sin.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 ky)))
(/.f64 (*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 ky ky)) #s(literal -1/6 binary64)) ky) ky))) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(*.f64 (/.f64 #s(literal -2 binary64) (sin.f64 ky)) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (*.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)))))))) (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64)))))) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 th (*.f64 th (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)))))) (hypot.f64 ky (sin.f64 kx)))
(*.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 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.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 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) #s(literal -1 binary64))))
(*.f64 (sin.f64 ky) (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) (sin.f64 kx)) (sin.f64 th)))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
Calls

1 calls:

42.0ms
th
Results
AccuracySegmentsBranch
80.4%2th
Compiler

Compiled 4 to 3 computations (25% saved)

regimes57.0ms (0.4%)

Counts
135 → 2
Calls
Call 1
Inputs
th
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th 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 (*.f64 (*.f64 th 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 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))
(*.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 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.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 #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 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))) (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th 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 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th))) (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))))) #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))))) (+.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)))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(/.f64 (*.f64 (sin.f64 ky) th) (-.f64 #s(literal 0 binary64) ky))
(*.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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (+.f64 ky (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) ky)))
(/.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 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 kx kx) ky)) (/.f64 #s(literal 1 binary64) ky))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64))))) ky))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 ky (*.f64 kx kx)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 kx (*.f64 kx kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) th) (+.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) (*.f64 ky ky)))) ky) (/.f64 #s(literal 1/2 binary64) ky)))))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 kx (*.f64 kx (+.f64 (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1/120 binary64) ky))) (/.f64 #s(literal -1/6 binary64) ky)))))))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 kx kx) (*.f64 ky (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))))))) (*.f64 kx (*.f64 kx kx))) (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 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky th) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky kx))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) ky))
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(+.f64 th (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/.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 (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) (sin.f64 th)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal 1/6 binary64)))) ky))
(/.f64 (*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64)))) th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))
(/.f64 (*.f64 ky (+.f64 th (*.f64 ky (*.f64 ky (*.f64 th (+.f64 (*.f64 (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64)))))))
(*.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 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 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (sin.f64 kx)))
(*.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 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (sin.f64 ky)) #s(literal 2 binary64))
(*.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 th (/.f64 (+.f64 (sin.f64 kx) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 th (/.f64 (+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (sin.f64 kx) #s(literal 1/6 binary64))))) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)))))))
(*.f64 (*.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)))))) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 (sin.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 ky)))
(/.f64 (*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 ky ky)) #s(literal -1/6 binary64)) ky) ky))) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(*.f64 (/.f64 #s(literal -2 binary64) (sin.f64 ky)) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (*.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)))))))) (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64)))))) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 th (*.f64 th (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)))))) (hypot.f64 ky (sin.f64 kx)))
(*.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 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.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 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) #s(literal -1 binary64))))
(*.f64 (sin.f64 ky) (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
Outputs
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
Calls

1 calls:

39.0ms
th
Results
AccuracySegmentsBranch
80.4%2th
Compiler

Compiled 4 to 3 computations (25% saved)

regimes57.0ms (0.4%)

Counts
134 → 2
Calls
Call 1
Inputs
th
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th 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 (*.f64 (*.f64 th 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 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))
(*.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 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.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 #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 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))) (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th 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 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th))) (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))))) #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))))) (+.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)))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(/.f64 (*.f64 (sin.f64 ky) th) (-.f64 #s(literal 0 binary64) ky))
(*.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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (+.f64 ky (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) ky)))
(/.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 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 kx kx) ky)) (/.f64 #s(literal 1 binary64) ky))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64))))) ky))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 ky (*.f64 kx kx)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 kx (*.f64 kx kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) th) (+.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) (*.f64 ky ky)))) ky) (/.f64 #s(literal 1/2 binary64) ky)))))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 kx (*.f64 kx (+.f64 (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1/120 binary64) ky))) (/.f64 #s(literal -1/6 binary64) ky)))))))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 kx kx) (*.f64 ky (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))))))) (*.f64 kx (*.f64 kx kx))) (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 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky th) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky kx))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) ky))
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(+.f64 th (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/.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 (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) (sin.f64 th)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal 1/6 binary64)))) ky))
(/.f64 (*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64)))) th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))
(/.f64 (*.f64 ky (+.f64 th (*.f64 ky (*.f64 ky (*.f64 th (+.f64 (*.f64 (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64)))))))
(*.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 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 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (sin.f64 kx)))
(*.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 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (sin.f64 ky)) #s(literal 2 binary64))
(*.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 th (/.f64 (+.f64 (sin.f64 kx) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 th (/.f64 (+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (sin.f64 kx) #s(literal 1/6 binary64))))) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)))))))
(*.f64 (*.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)))))) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 (sin.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 ky)))
(/.f64 (*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 ky ky)) #s(literal -1/6 binary64)) ky) ky))) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(*.f64 (/.f64 #s(literal -2 binary64) (sin.f64 ky)) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (*.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)))))))) (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64)))))) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 th (*.f64 th (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)))))) (hypot.f64 ky (sin.f64 kx)))
(*.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 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.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 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) #s(literal -1 binary64))))
(*.f64 (sin.f64 ky) (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx))))
Outputs
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
Calls

1 calls:

38.0ms
th
Results
AccuracySegmentsBranch
80.2%2th
Compiler

Compiled 4 to 3 computations (25% saved)

regimes51.0ms (0.4%)

Counts
122 → 2
Calls
Call 1
Inputs
th
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th 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 (*.f64 (*.f64 th 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 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))
(*.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 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.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 #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 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))) (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th 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 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th))) (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))))) #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))))) (+.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)))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(/.f64 (*.f64 (sin.f64 ky) th) (-.f64 #s(literal 0 binary64) ky))
(*.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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (+.f64 ky (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) ky)))
(/.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 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 kx kx) ky)) (/.f64 #s(literal 1 binary64) ky))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64))))) ky))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 ky (*.f64 kx kx)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 kx (*.f64 kx kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) th) (+.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) (*.f64 ky ky)))) ky) (/.f64 #s(literal 1/2 binary64) ky)))))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 kx (*.f64 kx (+.f64 (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1/120 binary64) ky))) (/.f64 #s(literal -1/6 binary64) ky)))))))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 kx kx) (*.f64 ky (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))))))) (*.f64 kx (*.f64 kx kx))) (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 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky th) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky kx))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) ky))
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(+.f64 th (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/.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 (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) (sin.f64 th)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal 1/6 binary64)))) ky))
(/.f64 (*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64)))) th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))
(/.f64 (*.f64 ky (+.f64 th (*.f64 ky (*.f64 ky (*.f64 th (+.f64 (*.f64 (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64)))))))
(*.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 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 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (sin.f64 kx)))
(*.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 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (sin.f64 ky)) #s(literal 2 binary64))
(*.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 th (/.f64 (+.f64 (sin.f64 kx) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 th (/.f64 (+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (sin.f64 kx) #s(literal 1/6 binary64))))) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)))))))
(*.f64 (*.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)))))) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 (sin.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 ky)))
(/.f64 (*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 ky ky)) #s(literal -1/6 binary64)) ky) ky))) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(*.f64 (/.f64 #s(literal -2 binary64) (sin.f64 ky)) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (*.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)))))))) (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64)))))) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 th (*.f64 th (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)))))) (hypot.f64 ky (sin.f64 kx)))
(*.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 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.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)
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
Calls

1 calls:

35.0ms
th
Results
AccuracySegmentsBranch
80.2%2th
Compiler

Compiled 4 to 3 computations (25% saved)

regimes51.0ms (0.4%)

Counts
121 → 2
Calls
Call 1
Inputs
th
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th 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 (*.f64 (*.f64 th 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 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))
(*.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 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.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 #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 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))) (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th 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 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th))) (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))))) #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))))) (+.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)))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(/.f64 (*.f64 (sin.f64 ky) th) (-.f64 #s(literal 0 binary64) ky))
(*.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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (+.f64 ky (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) ky)))
(/.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 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 kx kx) ky)) (/.f64 #s(literal 1 binary64) ky))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64))))) ky))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 ky (*.f64 kx kx)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 kx (*.f64 kx kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) th) (+.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) (*.f64 ky ky)))) ky) (/.f64 #s(literal 1/2 binary64) ky)))))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 kx (*.f64 kx (+.f64 (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1/120 binary64) ky))) (/.f64 #s(literal -1/6 binary64) ky)))))))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 kx kx) (*.f64 ky (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))))))) (*.f64 kx (*.f64 kx kx))) (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 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky th) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky kx))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) ky))
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(+.f64 th (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/.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 (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) (sin.f64 th)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal 1/6 binary64)))) ky))
(/.f64 (*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64)))) th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))
(/.f64 (*.f64 ky (+.f64 th (*.f64 ky (*.f64 ky (*.f64 th (+.f64 (*.f64 (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64)))))))
(*.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 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 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (sin.f64 kx)))
(*.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 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (sin.f64 ky)) #s(literal 2 binary64))
(*.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 th (/.f64 (+.f64 (sin.f64 kx) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 th (/.f64 (+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (sin.f64 kx) #s(literal 1/6 binary64))))) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)))))))
(*.f64 (*.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)))))) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 (sin.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 ky)))
(/.f64 (*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 ky ky)) #s(literal -1/6 binary64)) ky) ky))) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(*.f64 (/.f64 #s(literal -2 binary64) (sin.f64 ky)) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (*.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)))))))) (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64)))))) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 th (*.f64 th (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)))))) (hypot.f64 ky (sin.f64 kx)))
(*.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 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.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))
Outputs
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
Calls

1 calls:

35.0ms
th
Results
AccuracySegmentsBranch
80.2%2th
Compiler

Compiled 4 to 3 computations (25% saved)

regimes243.0ms (1.7%)

Counts
115 → 3
Calls
Call 1
Inputs
th
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th 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 (*.f64 (*.f64 th 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 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))
(*.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 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.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 #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 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))) (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th 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 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th))) (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))))) #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))))) (+.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)))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(/.f64 (*.f64 (sin.f64 ky) th) (-.f64 #s(literal 0 binary64) ky))
(*.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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (+.f64 ky (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) ky)))
(/.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 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 kx kx) ky)) (/.f64 #s(literal 1 binary64) ky))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64))))) ky))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 ky (*.f64 kx kx)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 kx (*.f64 kx kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) th) (+.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) (*.f64 ky ky)))) ky) (/.f64 #s(literal 1/2 binary64) ky)))))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 kx (*.f64 kx (+.f64 (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1/120 binary64) ky))) (/.f64 #s(literal -1/6 binary64) ky)))))))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 kx kx) (*.f64 ky (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))))))) (*.f64 kx (*.f64 kx kx))) (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 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky th) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky kx))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) ky))
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(+.f64 th (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/.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 (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) (sin.f64 th)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal 1/6 binary64)))) ky))
(/.f64 (*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64)))) th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))
(/.f64 (*.f64 ky (+.f64 th (*.f64 ky (*.f64 ky (*.f64 th (+.f64 (*.f64 (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64)))))))
(*.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 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 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (sin.f64 kx)))
(*.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 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (sin.f64 ky)) #s(literal 2 binary64))
(*.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 th (/.f64 (+.f64 (sin.f64 kx) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 th (/.f64 (+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (sin.f64 kx) #s(literal 1/6 binary64))))) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)))))))
(*.f64 (*.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)))))) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 (sin.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 ky)))
(/.f64 (*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 ky ky)) #s(literal -1/6 binary64)) ky) ky))) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(*.f64 (/.f64 #s(literal -2 binary64) (sin.f64 ky)) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 ky th) (+.f64 th ky)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (*.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)))))))) (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64)))))) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 th (*.f64 th (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)))))) (hypot.f64 ky (sin.f64 kx)))
Outputs
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(*.f64 (*.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)))))) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(sin.f64 th)
Calls

6 calls:

58.0ms
(sin.f64 ky)
35.0ms
kx
34.0ms
ky
34.0ms
(sin.f64 th)
34.0ms
th
Results
AccuracySegmentsBranch
58.8%1(sin.f64 kx)
68.1%3(sin.f64 ky)
58.8%1kx
64.6%2ky
63.0%3(sin.f64 th)
62.6%2th
Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes46.0ms (0.3%)

Counts
108 → 3
Calls
Call 1
Inputs
th
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th 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 (*.f64 (*.f64 th 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 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))
(*.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 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.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 #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 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))) (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th 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 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th))) (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))))) #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))))) (+.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)))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(/.f64 (*.f64 (sin.f64 ky) th) (-.f64 #s(literal 0 binary64) ky))
(*.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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (+.f64 ky (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) ky)))
(/.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 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 kx kx) ky)) (/.f64 #s(literal 1 binary64) ky))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64))))) ky))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 ky (*.f64 kx kx)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 kx (*.f64 kx kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) th) (+.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) (*.f64 ky ky)))) ky) (/.f64 #s(literal 1/2 binary64) ky)))))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 kx (*.f64 kx (+.f64 (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1/120 binary64) ky))) (/.f64 #s(literal -1/6 binary64) ky)))))))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 kx kx) (*.f64 ky (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))))))) (*.f64 kx (*.f64 kx kx))) (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 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky th) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky kx))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) ky))
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(+.f64 th (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/.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 (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) (sin.f64 th)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal 1/6 binary64)))) ky))
(/.f64 (*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64)))) th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))
(/.f64 (*.f64 ky (+.f64 th (*.f64 ky (*.f64 ky (*.f64 th (+.f64 (*.f64 (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64)))))))
(*.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 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 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (sin.f64 kx)))
(*.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 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (sin.f64 ky)) #s(literal 2 binary64))
(*.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 th (/.f64 (+.f64 (sin.f64 kx) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 th (/.f64 (+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (sin.f64 kx) #s(literal 1/6 binary64))))) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)))))))
Outputs
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(sin.f64 th)
Calls

1 calls:

32.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
68.1%3(sin.f64 ky)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes42.0ms (0.3%)

Counts
101 → 3
Calls
Call 1
Inputs
th
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th 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 (*.f64 (*.f64 th 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 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))
(*.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 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.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 #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 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))) (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th 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 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th))) (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))))) #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))))) (+.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)))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(/.f64 (*.f64 (sin.f64 ky) th) (-.f64 #s(literal 0 binary64) ky))
(*.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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (+.f64 ky (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) ky)))
(/.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 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 kx kx) ky)) (/.f64 #s(literal 1 binary64) ky))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64))))) ky))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 ky (*.f64 kx kx)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 kx (*.f64 kx kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) th) (+.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) (*.f64 ky ky)))) ky) (/.f64 #s(literal 1/2 binary64) ky)))))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 kx (*.f64 kx (+.f64 (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1/120 binary64) ky))) (/.f64 #s(literal -1/6 binary64) ky)))))))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 kx kx) (*.f64 ky (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))))))) (*.f64 kx (*.f64 kx kx))) (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 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky th) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky kx))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) ky))
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(+.f64 th (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/.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 (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) (sin.f64 th)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal 1/6 binary64)))) ky))
(/.f64 (*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64)))) th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))
(/.f64 (*.f64 ky (+.f64 th (*.f64 ky (*.f64 ky (*.f64 th (+.f64 (*.f64 (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64)))))))
(*.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 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 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (sin.f64 kx)))
(*.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 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (sin.f64 ky)) #s(literal 2 binary64))
(*.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 th (/.f64 (+.f64 (sin.f64 kx) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (hypot.f64 ky (sin.f64 kx))))
Outputs
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(sin.f64 th)
Calls

1 calls:

29.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
67.9%3(sin.f64 ky)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes89.0ms (0.6%)

Counts
86 → 3
Calls
Call 1
Inputs
th
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th 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 (*.f64 (*.f64 th 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 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))
(*.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 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.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 #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 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))) (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th 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 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th))) (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))))) #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))))) (+.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)))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(/.f64 (*.f64 (sin.f64 ky) th) (-.f64 #s(literal 0 binary64) ky))
(*.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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (+.f64 ky (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) ky)))
(/.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 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 kx kx) ky)) (/.f64 #s(literal 1 binary64) ky))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64))))) ky))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 ky (*.f64 kx kx)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 kx (*.f64 kx kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) th) (+.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) (*.f64 ky ky)))) ky) (/.f64 #s(literal 1/2 binary64) ky)))))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 kx (*.f64 kx (+.f64 (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1/120 binary64) ky))) (/.f64 #s(literal -1/6 binary64) ky)))))))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 kx kx) (*.f64 ky (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))))))) (*.f64 kx (*.f64 kx kx))) (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 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky th) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky kx))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) ky))
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(+.f64 th (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/.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 (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) (sin.f64 th)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal 1/6 binary64)))) ky))
(/.f64 (*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64)))) th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))
(/.f64 (*.f64 ky (+.f64 th (*.f64 ky (*.f64 ky (*.f64 th (+.f64 (*.f64 (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64)))))))
(*.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 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 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
(/.f64 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
Outputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(sin.f64 th)
Calls

3 calls:

28.0ms
(sin.f64 ky)
25.0ms
ky
25.0ms
th
Results
AccuracySegmentsBranch
58.7%1th
61.3%2ky
63.2%3(sin.f64 ky)
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes189.0ms (1.3%)

Counts
83 → 3
Calls
Call 1
Inputs
th
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th 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 (*.f64 (*.f64 th 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 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))
(*.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 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.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 #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 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))) (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th 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 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th))) (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))))) #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))))) (+.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)))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(/.f64 (*.f64 (sin.f64 ky) th) (-.f64 #s(literal 0 binary64) ky))
(*.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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (+.f64 ky (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) ky)))
(/.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 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 kx kx) ky)) (/.f64 #s(literal 1 binary64) ky))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64))))) ky))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 ky (*.f64 kx kx)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 kx (*.f64 kx kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) th) (+.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) (*.f64 ky ky)))) ky) (/.f64 #s(literal 1/2 binary64) ky)))))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 kx (*.f64 kx (+.f64 (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1/120 binary64) ky))) (/.f64 #s(literal -1/6 binary64) ky)))))))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 kx kx) (*.f64 ky (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))))))) (*.f64 kx (*.f64 kx kx))) (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 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky th) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky kx))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) ky))
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(+.f64 th (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/.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 (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) (sin.f64 th)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal 1/6 binary64)))) ky))
(/.f64 (*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64)))) th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))
(/.f64 (*.f64 ky (+.f64 th (*.f64 ky (*.f64 ky (*.f64 th (+.f64 (*.f64 (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64)))))))
(*.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 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 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
Outputs
(/.f64 (*.f64 ky th) (hypot.f64 ky (sin.f64 kx)))
(sin.f64 th)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
Calls

6 calls:

37.0ms
ky
34.0ms
kx
31.0ms
(sin.f64 kx)
29.0ms
(sin.f64 ky)
24.0ms
th
Results
AccuracySegmentsBranch
42.6%2th
47.5%3(sin.f64 kx)
42.9%2kx
42.6%2ky
42.6%3(sin.f64 th)
44.5%2(sin.f64 ky)
Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes56.0ms (0.4%)

Counts
80 → 3
Calls
Call 1
Inputs
th
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th 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 (*.f64 (*.f64 th 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 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))
(*.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 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.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 #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 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))) (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th 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 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th))) (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))))) #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))))) (+.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)))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(/.f64 (*.f64 (sin.f64 ky) th) (-.f64 #s(literal 0 binary64) ky))
(*.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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (+.f64 ky (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) ky)))
(/.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 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 kx kx) ky)) (/.f64 #s(literal 1 binary64) ky))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64))))) ky))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 ky (*.f64 kx kx)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 kx (*.f64 kx kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) th) (+.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) (*.f64 ky ky)))) ky) (/.f64 #s(literal 1/2 binary64) ky)))))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 kx (*.f64 kx (+.f64 (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1/120 binary64) ky))) (/.f64 #s(literal -1/6 binary64) ky)))))))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 kx kx) (*.f64 ky (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))))))) (*.f64 kx (*.f64 kx kx))) (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 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky th) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky kx))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) ky))
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(+.f64 th (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/.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 (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) (sin.f64 th)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal 1/6 binary64)))) ky))
(/.f64 (*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64)))) th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))
(/.f64 (*.f64 ky (+.f64 th (*.f64 ky (*.f64 ky (*.f64 th (+.f64 (*.f64 (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64)))))))
(*.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 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
Outputs
(/.f64 (*.f64 ky th) (hypot.f64 ky (sin.f64 kx)))
(sin.f64 th)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
Calls

1 calls:

41.0ms
(sin.f64 kx)
Results
AccuracySegmentsBranch
47.5%3(sin.f64 kx)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes54.0ms (0.4%)

Counts
75 → 3
Calls
Call 1
Inputs
th
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th 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 (*.f64 (*.f64 th 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 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))
(*.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 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.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 #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 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))) (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th 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 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th))) (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))))) #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))))) (+.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)))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(/.f64 (*.f64 (sin.f64 ky) th) (-.f64 #s(literal 0 binary64) ky))
(*.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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (+.f64 ky (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) ky)))
(/.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 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 kx kx) ky)) (/.f64 #s(literal 1 binary64) ky))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64))))) ky))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 ky (*.f64 kx kx)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 kx (*.f64 kx kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) th) (+.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) (*.f64 ky ky)))) ky) (/.f64 #s(literal 1/2 binary64) ky)))))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 kx (*.f64 kx (+.f64 (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1/120 binary64) ky))) (/.f64 #s(literal -1/6 binary64) ky)))))))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 kx kx) (*.f64 ky (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))))))) (*.f64 kx (*.f64 kx kx))) (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 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky th) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky kx))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) ky))
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(+.f64 th (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/.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 (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) (sin.f64 th)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal 1/6 binary64)))) ky))
(/.f64 (*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64)))) th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))))
(/.f64 (*.f64 ky (+.f64 th (*.f64 ky (*.f64 ky (*.f64 th (+.f64 (*.f64 (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64)))))))
Outputs
(/.f64 (*.f64 ky th) (hypot.f64 ky (sin.f64 kx)))
(sin.f64 th)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
Calls

2 calls:

23.0ms
(sin.f64 kx)
23.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
42.1%2(sin.f64 ky)
45.0%3(sin.f64 kx)
Compiler

Compiled 10 to 8 computations (20% saved)

regimes79.0ms (0.6%)

Counts
59 → 2
Calls
Call 1
Inputs
th
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th 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 (*.f64 (*.f64 th 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 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))
(*.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 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.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 #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 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))) (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th 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 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th))) (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))))) #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))))) (+.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)))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(/.f64 (*.f64 (sin.f64 ky) th) (-.f64 #s(literal 0 binary64) ky))
(*.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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (+.f64 ky (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) ky)))
(/.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 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 kx kx) ky)) (/.f64 #s(literal 1 binary64) ky))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64))))) ky))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 ky (*.f64 kx kx)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 kx (*.f64 kx kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) th) (+.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) (*.f64 ky ky)))) ky) (/.f64 #s(literal 1/2 binary64) ky)))))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 kx (*.f64 kx (+.f64 (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1/120 binary64) ky))) (/.f64 #s(literal -1/6 binary64) ky)))))))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 kx kx) (*.f64 ky (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))))))) (*.f64 kx (*.f64 kx kx))) (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 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
Outputs
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(sin.f64 th)
Calls

4 calls:

19.0ms
th
18.0ms
(sin.f64 kx)
18.0ms
ky
18.0ms
kx
Results
AccuracySegmentsBranch
42.1%2ky
31.4%2th
40.5%2kx
41.3%3(sin.f64 kx)
Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes62.0ms (0.4%)

Counts
47 → 2
Calls
Call 1
Inputs
th
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th 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 (*.f64 (*.f64 th 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 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))
(*.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 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.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 #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 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))) (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th 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 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th))) (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))))) #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))))) (+.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)))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(/.f64 (*.f64 (sin.f64 ky) th) (-.f64 #s(literal 0 binary64) ky))
(*.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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) ky))
(/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (+.f64 ky (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) ky)))
(/.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 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 kx kx) ky)) (/.f64 #s(literal 1 binary64) ky))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 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 (sin.f64 th) (/.f64 (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))) #s(literal -1/6 binary64))))) ky))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 ky (*.f64 kx kx)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 kx (*.f64 kx kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) th) (+.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) (*.f64 ky ky)))) ky) (/.f64 #s(literal 1/2 binary64) ky)))))
(/.f64 (sin.f64 th) (*.f64 kx (+.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 kx (*.f64 kx (+.f64 (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)) ky) (/.f64 #s(literal 1/120 binary64) ky))) (/.f64 #s(literal -1/6 binary64) ky)))))))
(*.f64 (*.f64 ky (/.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64))))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -5/12 binary64)))) (*.f64 (*.f64 kx kx) (*.f64 ky (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal -71/720 binary64)))))))) (*.f64 kx (*.f64 kx kx))) (sin.f64 th))
Outputs
(/.f64 (sin.f64 th) (/.f64 kx ky))
(sin.f64 th)
Calls

4 calls:

15.0ms
(sin.f64 kx)
15.0ms
ky
14.0ms
(sin.f64 th)
13.0ms
kx
Results
AccuracySegmentsBranch
35.4%4(sin.f64 kx)
34.9%3kx
28.1%3(sin.f64 th)
36.0%2ky
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes12.0ms (0.1%)

Counts
25 → 2
Calls
Call 1
Inputs
th
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th 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 (*.f64 (*.f64 th 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 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))
(*.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 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.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 #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 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))) (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th 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 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th))) (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))))) #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))))) (+.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)))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 th (/.f64 (sin.f64 kx) ky))
Outputs
(*.f64 (/.f64 ky kx) (sin.f64 th))
(sin.f64 th)
Calls

1 calls:

9.0ms
ky
Results
AccuracySegmentsBranch
36.0%2ky
Compiler

Compiled 4 to 3 computations (25% saved)

regimes24.0ms (0.2%)

Counts
21 → 2
Calls
Call 1
Inputs
th
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th 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 (*.f64 (*.f64 th 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 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))
(*.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 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.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 #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 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))) (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th 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 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th))) (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))))) #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))))) (+.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)))))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
Outputs
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
Calls

3 calls:

8.0ms
(sin.f64 kx)
6.0ms
ky
6.0ms
kx
Results
AccuracySegmentsBranch
30.6%2(sin.f64 kx)
31.6%2kx
30.0%2ky
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes57.0ms (0.4%)

Counts
20 → 2
Calls
Call 1
Inputs
th
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th 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 (*.f64 (*.f64 th 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 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))
(*.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 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.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 #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 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))) (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th 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 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th))) (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))))) #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))))) (+.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)))))))
(sin.f64 th)
Outputs
(sin.f64 th)
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
Calls

3 calls:

41.0ms
ky
6.0ms
kx
6.0ms
th
Results
AccuracySegmentsBranch
26.7%2ky
24.0%1th
26.8%2kx
Compiler

Compiled 12 to 9 computations (25% saved)

regimes49.0ms (0.3%)

Counts
19 → 2
Calls
Call 1
Inputs
th
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th 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 (*.f64 (*.f64 th 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 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))
(*.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 th (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.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 #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 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))))
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))) (-.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th 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 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))))
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th))) (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))))) #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))))) (+.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)))))))
Outputs
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
Calls

3 calls:

36.0ms
ky
6.0ms
kx
6.0ms
th
Results
AccuracySegmentsBranch
14.2%1th
17.4%2ky
18.7%2kx
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Counts
3 → 2
Calls
Call 1
Inputs
th
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
Outputs
th
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
Calls

1 calls:

2.0ms
kx
Results
AccuracySegmentsBranch
18.7%2kx
Compiler

Compiled 4 to 3 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
th
1.0ms
kx
1.0ms
ky
Results
AccuracySegmentsBranch
14.2%1th
14.2%1ky
14.2%1kx
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch23.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
0.3679502578361821
1.703649391287508
Results
17.0ms96×0valid
Compiler

Compiled 235 to 162 computations (31.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sin: 7.0ms (61.1% of total)
ival-pow: 2.0ms (17.5% of total)
ival-div: 1.0ms (8.7% of total)
ival-add: 1.0ms (8.7% of total)
ival-mult: 1.0ms (8.7% of total)
ival-sqrt: 1.0ms (8.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
0.3679502578361821
1.703649391287508
Results
16.0ms96×0valid
Compiler

Compiled 235 to 162 computations (31.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sin: 8.0ms (63.7% of total)
ival-pow: 2.0ms (15.9% of total)
ival-div: 1.0ms (8% of total)
ival-mult: 1.0ms (8% of total)
ival-sqrt: 1.0ms (8% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
21.0ms
0.3679502578361821
1.703649391287508
Results
17.0ms96×0valid
Compiler

Compiled 235 to 162 computations (31.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sin: 6.0ms (44.9% of total)
ival-pow: 4.0ms (30% of total)
ival-div: 1.0ms (7.5% of total)
ival-add: 1.0ms (7.5% of total)
ival-mult: 1.0ms (7.5% of total)
ival-sqrt: 1.0ms (7.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
0.3679502578361821
1.703649391287508
Results
16.0ms96×0valid
Compiler

Compiled 187 to 126 computations (32.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sin: 6.0ms (56.4% of total)
ival-pow: 2.0ms (18.8% of total)
ival-div: 1.0ms (9.4% of total)
ival-mult: 1.0ms (9.4% of total)
ival-sqrt: 1.0ms (9.4% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
0.3679502578361821
1.703649391287508
Results
16.0ms96×0valid
Compiler

Compiled 187 to 126 computations (32.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sin: 8.0ms (64.2% of total)
ival-pow: 2.0ms (16% of total)
ival-div: 1.0ms (8% of total)
ival-mult: 1.0ms (8% of total)
ival-sqrt: 1.0ms (8% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
0.3679502578361821
1.703649391287508
Results
17.0ms96×0valid
Compiler

Compiled 187 to 126 computations (32.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sin: 8.0ms (61.1% of total)
ival-pow: 2.0ms (15.3% of total)
ival-div: 1.0ms (7.6% of total)
ival-mult: 1.0ms (7.6% of total)
ival-sqrt: 1.0ms (7.6% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0017623276618393283
0.018385547896148546
0.0ms
-0.0005623889774265219
3.663378436648417e-305
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0017623276618393283
0.018385547896148546
0.0ms
-0.0005623889774265219
3.663378436648417e-305
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch8.0ms (0.1%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0017623276618393283
0.018385547896148546
0.0ms
-0.0005623889774265219
3.663378436648417e-305
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0017623276618393283
0.018385547896148546
0.0ms
-0.0005623889774265219
3.663378436648417e-305
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.6558735701113175e-119
2.316459101004066e-119
0.0ms
-0.1066106117579742
-0.09528474836805474
Compiler

Compiled 25 to 18 computations (28% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.6558735701113175e-119
2.316459101004066e-119
0.0ms
-0.1066106117579742
-0.09528474836805474
Compiler

Compiled 25 to 18 computations (28% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.316459101004066e-119
9.400472418608496e-117
0.0ms
-0.1066106117579742
-0.09528474836805474
Compiler

Compiled 25 to 18 computations (28% saved)

bsearch16.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
5.453727831754452e-36
1.1463255474640429e-35
Results
11.0ms80×0valid
Compiler

Compiled 110 to 83 computations (24.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sin: 4.0ms (49.5% of total)
ival-pow: 2.0ms (24.7% of total)
ival-div: 1.0ms (12.4% of total)
ival-mult: 1.0ms (12.4% of total)
ival-sqrt: 1.0ms (12.4% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
6.461190552978319e-69
1.1404574342762296e-66
Results
15.0ms112×0valid
Compiler

Compiled 137 to 102 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sin: 6.0ms (55.3% of total)
ival-pow: 2.0ms (18.4% of total)
ival-div: 1.0ms (9.2% of total)
ival-add: 1.0ms (9.2% of total)
ival-mult: 1.0ms (9.2% of total)
ival-sqrt: 1.0ms (9.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
22.0ms
6.461190552978319e-69
1.1404574342762296e-66
Results
16.0ms112×0valid
Compiler

Compiled 137 to 102 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sin: 6.0ms (52% of total)
ival-pow: 2.0ms (17.3% of total)
ival-div: 1.0ms (8.7% of total)
ival-add: 1.0ms (8.7% of total)
ival-mult: 1.0ms (8.7% of total)
ival-sqrt: 1.0ms (8.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch31.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
29.0ms
6.482991362079789e-93
2.3869863872352362e-88
Results
25.0ms128×0valid
Compiler

Compiled 153 to 114 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-sin: 14.0ms (70.1% of total)
ival-pow: 3.0ms (15% of total)
ival-div: 1.0ms (5% of total)
ival-add: 1.0ms (5% of total)
ival-mult: 1.0ms (5% of total)
ival-sqrt: 1.0ms (5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch26.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
24.0ms
8.082800353462e-62
6.239175699667297e-59
Results
18.0ms128×0valid
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 (47.7% 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)

bsearch26.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
24.0ms
6.482991362079789e-93
2.3869863872352362e-88
Results
20.0ms128×0valid
Compiler

Compiled 217 to 162 computations (25.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sin: 6.0ms (41.6% of total)
ival-pow: 5.0ms (34.7% of total)
ival-div: 1.0ms (6.9% of total)
ival-add: 1.0ms (6.9% of total)
ival-mult: 1.0ms (6.9% of total)
ival-sqrt: 1.0ms (6.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch44.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
42.0ms
6.482991362079789e-93
2.3869863872352362e-88
Results
37.0ms128×0valid
Compiler

Compiled 153 to 114 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-add: 16.0ms (50.5% of total)
ival-sin: 10.0ms (31.5% of total)
ival-pow: 3.0ms (9.5% of total)
ival-div: 1.0ms (3.2% of total)
ival-mult: 1.0ms (3.2% of total)
ival-sqrt: 1.0ms (3.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify14.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
46×*-commutative_binary64
8×+-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115514
1145514
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 th #s(literal 3332663724254167/9007199254740992 binary64)) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 3332663724254167/9007199254740992 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 3332663724254167/9007199254740992 binary64)) (*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 3332663724254167/9007199254740992 binary64)) (/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 3332663724254167/9007199254740992 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 3332663724254167/9007199254740992 binary64)) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 (sin.f64 ky) #s(literal -1152921504606847/2305843009213693952 binary64)) (/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 ky) #s(literal 1152921504606847/576460752303423488 binary64)) (*.f64 (*.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)))))) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -1152921504606847/2305843009213693952 binary64)) (/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 ky) #s(literal 1152921504606847/576460752303423488 binary64)) (*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -1152921504606847/2305843009213693952 binary64)) (/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 ky) #s(literal 1152921504606847/576460752303423488 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -1152921504606847/2305843009213693952 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 (sin.f64 ky) #s(literal 1152921504606847/576460752303423488 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/36028797018963968 binary64)) (/.f64 (*.f64 ky th) (hypot.f64 ky (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) #s(literal 7268387242956069/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328 binary64)) (sin.f64 th) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/36028797018963968 binary64)) (/.f64 (*.f64 ky th) (hypot.f64 ky (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) #s(literal 7268387242956069/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328 binary64)) (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/36028797018963968 binary64)) (/.f64 (*.f64 ky th) (hypot.f64 ky (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) #s(literal 7268387242956069/181709681073901722637330951972001133588410340171829515070372549795159822028349480831547762678440891390190630401566544483383650407153664 binary64)) (sin.f64 th) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
(if (<=.f64 ky #s(literal 6135968474170063/748288838313422294120286634350736906063837462003712 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 ky #s(literal 6313673899733619/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) (/.f64 (sin.f64 th) (/.f64 kx ky)) (sin.f64 th))
(if (<=.f64 ky #s(literal 1068467890724151/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) (*.f64 (/.f64 ky kx) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 kx #s(literal 65792501801473/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) (sin.f64 th) (*.f64 ky (/.f64 th (sin.f64 kx))))
(if (<=.f64 kx #s(literal 497544133441593/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) (sin.f64 th) (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))))
(if (<=.f64 kx #s(literal 7883901492465871/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))))
(if (<=.f64 kx #s(literal 537538738122673/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) th (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))))
th
Outputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 th #s(literal 3332663724254167/9007199254740992 binary64)) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 3332663724254167/9007199254740992 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 3332663724254167/9007199254740992 binary64)) (*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 3332663724254167/9007199254740992 binary64)) (/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 3332663724254167/9007199254740992 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 3332663724254167/9007199254740992 binary64)) (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 3332663724254167/9007199254740992 binary64)) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 (sin.f64 ky) #s(literal -1152921504606847/2305843009213693952 binary64)) (/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 ky) #s(literal 1152921504606847/576460752303423488 binary64)) (*.f64 (*.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)))))) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -1152921504606847/2305843009213693952 binary64)) (/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 ky) #s(literal 1152921504606847/576460752303423488 binary64)) (*.f64 (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))) (*.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))))))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -1152921504606847/2305843009213693952 binary64)) (/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 ky) #s(literal 1152921504606847/576460752303423488 binary64)) (*.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -1152921504606847/2305843009213693952 binary64)) (/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 ky) #s(literal 1152921504606847/576460752303423488 binary64)) (*.f64 (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -1152921504606847/2305843009213693952 binary64)) (/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 ky) #s(literal 1152921504606847/576460752303423488 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -1152921504606847/2305843009213693952 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 (sin.f64 ky) #s(literal 1152921504606847/576460752303423488 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/36028797018963968 binary64)) (/.f64 (*.f64 ky th) (hypot.f64 ky (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) #s(literal 7268387242956069/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328 binary64)) (sin.f64 th) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/36028797018963968 binary64)) (/.f64 (*.f64 th ky) (hypot.f64 ky (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) #s(literal 7268387242956069/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328 binary64)) (sin.f64 th) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/36028797018963968 binary64)) (/.f64 (*.f64 ky th) (hypot.f64 ky (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) #s(literal 7268387242956069/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328 binary64)) (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/36028797018963968 binary64)) (/.f64 (*.f64 th ky) (hypot.f64 ky (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) #s(literal 7268387242956069/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328 binary64)) (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/36028797018963968 binary64)) (/.f64 (*.f64 ky th) (hypot.f64 ky (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) #s(literal 7268387242956069/181709681073901722637330951972001133588410340171829515070372549795159822028349480831547762678440891390190630401566544483383650407153664 binary64)) (sin.f64 th) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/36028797018963968 binary64)) (/.f64 (*.f64 th ky) (hypot.f64 ky (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) #s(literal 7268387242956069/181709681073901722637330951972001133588410340171829515070372549795159822028349480831547762678440891390190630401566544483383650407153664 binary64)) (sin.f64 th) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
(if (<=.f64 ky #s(literal 6135968474170063/748288838313422294120286634350736906063837462003712 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 ky #s(literal 6313673899733619/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) (/.f64 (sin.f64 th) (/.f64 kx ky)) (sin.f64 th))
(if (<=.f64 ky #s(literal 1068467890724151/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) (*.f64 (/.f64 ky kx) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 ky #s(literal 1068467890724151/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) (*.f64 (sin.f64 th) (/.f64 ky kx)) (sin.f64 th))
(if (<=.f64 kx #s(literal 65792501801473/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) (sin.f64 th) (*.f64 ky (/.f64 th (sin.f64 kx))))
(if (<=.f64 kx #s(literal 497544133441593/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) (sin.f64 th) (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))))
(if (<=.f64 kx #s(literal 7883901492465871/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))))
(if (<=.f64 kx #s(literal 537538738122673/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) th (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))))
th

soundness2.9s (19.8%)

Rules
9070×*-lowering-*.f32
9070×*-lowering-*.f64
7794×*-lowering-*.f32
7794×*-lowering-*.f64
5752×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02264
113964
2101564
0931264
01316
11911
22911
33011
03011
033151
1199146
21789139
09057139
06324330
121873640
085533640
08167378
128446507
277276456
080396456
07065740
124894822
093204822
04054436
114143702
258293687
081073687
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×saturated
1×iter limit
1×node limit
Compiler

Compiled 2181 to 1227 computations (43.7% saved)

preprocess166.0ms (1.2%)

Remove

(negabs th)

(negabs ky)

(abs kx)

Compiler

Compiled 1324 to 418 computations (68.4% saved)

end0.0ms (0%)

Profiling

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