Toniolo and Linder, Equation (3b), real

Time bar (total: 13.1s)

analyze230.0ms (1.7%)

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: 138.0ms
ival-sin: 45.0ms (32.7% of total)
ival-pow: 38.0ms (27.6% of total)
ival-mult: 21.0ms (15.2% of total)
ival-sqrt: 12.0ms (8.7% of total)
ival-add: 10.0ms (7.3% of total)
ival-div: 9.0ms (6.5% of total)
const: 2.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

sample2.2s (17%)

Results
1.8s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.5s
ival-sin: 932.0ms (62.8% of total)
ival-pow: 207.0ms (13.9% of total)
ival-sqrt: 113.0ms (7.6% of total)
ival-div: 86.0ms (5.8% of total)
ival-add: 68.0ms (4.6% of total)
ival-mult: 62.0ms (4.2% of total)
const: 14.0ms (0.9% of total)
backward-pass: 3.0ms (0.2% of total)
Bogosity

preprocess182.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
968×fma-define
307×fma-neg
195×unsub-neg
181×times-frac
170×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053717
1111529
2240529
3420529
4940529
52219529
63233529
73758529
84126529
94217529
104256529
114256529
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (neg.f64 kx)) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 (neg.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 (neg.f64 ky)) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 (neg.f64 th)))
(neg.f64 (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (neg.f64 kx)) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)))
(neg.f64 (*.f64 (/.f64 (sin.f64 (neg.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 (neg.f64 ky)) #s(literal 2 binary64))))) (sin.f64 th)))
(neg.f64 (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 (neg.f64 th))))
(*.f64 (/.f64 (sin.f64 kx) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 th) #s(literal 2 binary64))))) (sin.f64 ky))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (neg.f64 kx)) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 (neg.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 (neg.f64 ky)) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 (neg.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))) (neg.f64 (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 (neg.f64 th)))
(*.f64 (sin.f64 th) (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 (neg.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))) (neg.f64 (sin.f64 th)))
(neg.f64 (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (neg.f64 kx)) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 (neg.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))) (neg.f64 (sin.f64 th)))
(neg.f64 (*.f64 (/.f64 (sin.f64 (neg.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 (neg.f64 ky)) #s(literal 2 binary64))))) (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(neg.f64 (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 (neg.f64 th))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 kx) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 kx))
(*.f64 (sin.f64 kx) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 th) #s(literal 2 binary64))))))
(*.f64 (sin.f64 kx) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (hypot.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 th) #s(literal 2 binary64))))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 th) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 th)))
Symmetry

(abs kx)

(negabs ky)

(negabs th)

explain170.0ms (1.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
150-1(1.1139243739388702e-160 7.975528841217262e-306 3.2051436936557125e-278)(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
080(6.067692529875911e-118 2.730152846388828e-32 2.7048251207223164e+54)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)))
052(6.067692529875911e-118 2.730152846388828e-32 2.7048251207223164e+54)0-(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
Results
109.0ms512×0valid
Compiler

Compiled 159 to 41 computations (74.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-sin: 45.0ms (62.8% of total)
ival-pow: 11.0ms (15.4% of total)
ival-mult: 5.0ms (7% of total)
ival-sqrt: 4.0ms (5.6% of total)
ival-div: 3.0ms (4.2% of total)
ival-add: 3.0ms (4.2% of total)
const: 1.0ms (1.4% 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
▶94.3%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
▶99.7%
(*.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)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 ky)
✓cost-diff12992
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
✓cost-diff12992
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
✓cost-diff12992
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
✓cost-diff0
(sin.f64 th)
✓cost-diff0
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓cost-diff0
(sin.f64 ky)
✓cost-diff0
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
Rules
3×*-commutative
2×unpow2
2×fma-define
2×associate-*r/
1×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023338
134338
240338
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(sin.f64 ky)
ky
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin.f64 th)
th
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
kx
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sin.f64 ky)
ky
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin.f64 kx)
kx
#s(literal 2 binary64)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin.f64 th)
th
Outputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(sin.f64 ky)
ky
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin.f64 th)
th
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
kx
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin.f64 ky)
ky
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin.f64 kx)
kx
#s(literal 2 binary64)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin.f64 th)
th

localize89.0ms (0.7%)

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 kx) #s(literal 2 binary64))
✓accuracy99.6%
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓accuracy94.5%
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
✓accuracy100.0%
(sin.f64 kx)
✓accuracy99.9%
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓accuracy99.7%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
✓accuracy99.6%
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
Results
65.0ms256×0valid
Compiler

Compiled 103 to 17 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-sin: 20.0ms (50.6% of total)
ival-pow: 5.0ms (12.7% of total)
ival-hypot: 4.0ms (10.1% of total)
ival-div: 3.0ms (7.6% of total)
ival-mult: 3.0ms (7.6% of total)
ival-sqrt: 2.0ms (5.1% of total)
ival-add: 1.0ms (2.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series59.0ms (0.4%)

Counts
11 → 184
Calls
Call 1
Inputs
#<alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))>
#<alt (sin.f64 ky)>
#<alt (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))>
#<alt (sin.f64 th)>
#<alt (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))>
#<alt (/.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)))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (hypot.f64 (sin.f64 ky) (sin.f64 kx))>
#<alt (sin.f64 kx)>
#<alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64))>
#<alt (pow.f64 (sin.f64 kx) #s(literal 2 binary64))>
Outputs
#<alt (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 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) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (*.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.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))))))>
#<alt (*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))>
#<alt (*.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 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 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)))))))))))>
#<alt (*.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 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 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 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
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#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (sin.f64 th)>
#<alt (+.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (+.f64 (sin.f64 th) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))))>
#<alt (+.f64 (sin.f64 th) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (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) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 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) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
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#<alt ky>
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#<alt (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
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#<alt (*.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))))))>
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#<alt (*.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))))))>
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#<alt (/.f64 (sin.f64 th) (sin.f64 kx))>
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#<alt (*.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))))))>
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#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (/.f64 (sin.f64 th) (sin.f64 ky))>
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#<alt (*.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))))))>
#<alt (*.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))))))>
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#<alt (*.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))))))>
#<alt (*.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))))))>
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#<alt th>
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#<alt (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
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#<alt (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))>
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#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 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) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (*.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (sin.f64 th)>
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#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
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#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
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#<alt (*.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))))))>
#<alt (*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))>
#<alt (*.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 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 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)))))))))))>
#<alt (*.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 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 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 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (/.f64 ky (sin.f64 kx))>
#<alt (*.f64 ky (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 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) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))))) (*.f64 #s(literal -1/12 binary64) (*.f64 (sin.f64 kx) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (*.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (*.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))))))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt #s(literal 1 binary64)>
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#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 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) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (sin.f64 ky)>
#<alt (+.f64 (sin.f64 ky) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 ky))))>
#<alt (+.f64 (sin.f64 ky) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 ky))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))))>
#<alt (+.f64 (sin.f64 ky) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 ky))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))))>
#<alt (sin.f64 kx)>
#<alt (+.f64 (sin.f64 kx) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 kx))))>
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#<alt (+.f64 (sin.f64 kx) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 kx))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))))>
#<alt (sin.f64 kx)>
#<alt (+.f64 (sin.f64 kx) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 kx))))>
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#<alt (+.f64 (sin.f64 kx) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 kx))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
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#<alt (sin.f64 ky)>
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#<alt (+.f64 (sin.f64 ky) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 ky))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))))>
#<alt (+.f64 (sin.f64 ky) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 ky))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt kx>
#<alt (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))>
#<alt (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 kx #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
#<alt (pow.f64 ky #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 ky #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1/3 binary64)))))>
#<alt (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/315 binary64) (pow.f64 ky #s(literal 2 binary64))))) #s(literal 1/3 binary64)))))>
#<alt (pow.f64 kx #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 kx #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/3 binary64)))))>
#<alt (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/315 binary64) (pow.f64 kx #s(literal 2 binary64))))) #s(literal 1/3 binary64)))))>
Calls

60 calls:

TimeVariablePointExpression
6.0ms
th
@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))))))
3.0ms
ky
@-inf
(/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
3.0ms
ky
@inf
(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
2.0ms
kx
@inf
(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))

rewrite344.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
888×log1p-expm1-u
806×expm1-log1p-u
721×prod-diff
128×add-exp-log
128×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023256
1341256
23880256
Stop Event
1×node limit
Counts
11 → 283
Calls
Call 1
Inputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(sin.f64 ky)
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin.f64 th)
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) #s(literal 1 binary64))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (*.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))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 1 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 ky))) #s(literal 1 binary64))
(*.f64 (sin.f64 ky) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 ky))
(*.f64 (cbrt.f64 (sin.f64 ky)) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 ky)))
(*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 ky)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))))
(pow.f64 (sin.f64 ky) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(fabs.f64 (sin.f64 ky))
(log.f64 (exp.f64 (sin.f64 ky)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 ky))))
(cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 ky)))
(log1p.f64 (expm1.f64 (sin.f64 ky)))
(exp.f64 (log.f64 (sin.f64 ky)))
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 1 binary64))
(*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sqrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sqrt.f64 (sin.f64 th)) (*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sin.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal -1 binary64))
(neg.f64 (/.f64 (sin.f64 th) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(*.f64 (sin.f64 th) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 th))
(*.f64 (cbrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 th)))
(*.f64 (sqrt.f64 (sin.f64 th)) (sqrt.f64 (sin.f64 th)))
(pow.f64 (sin.f64 th) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(exp.f64 (*.f64 (log.f64 (sin.f64 th)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) #s(literal 1 binary64))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
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(*.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 ky)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky ky)) (cos.f64 (+.f64 ky ky))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))) #s(literal 1 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sin.f64 kx) (sin.f64 kx))
(*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (sin.f64 kx)) (sin.f64 kx)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sin.f64 kx)) (*.f64 (sqrt.f64 (sin.f64 kx)) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 kx) (sqrt.f64 (sin.f64 kx))) (sqrt.f64 (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 kx) (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (cbrt.f64 (sin.f64 kx)))
(/.f64 (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1 binary64)))

simplify292.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
564×fma-define
521×times-frac
476×*-commutative
394×associate-/r*
342×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
084024259
1212222959
2717322959
Stop Event
1×node limit
Counts
467 → 419
Calls
Call 1
Inputs
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 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) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (*.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.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))))))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(*.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 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 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 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 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 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 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(sin.f64 th)
(+.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(+.f64 (sin.f64 th) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))))
(+.f64 (sin.f64 th) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (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) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 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) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
ky
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 ky #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(*.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 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 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
(*.f64 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 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))
(*.f64 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 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))))
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(/.f64 (sin.f64 th) (sin.f64 kx))
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(/.f64 (sin.f64 th) (sin.f64 ky))
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th
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
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(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
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(sin.f64 th)
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(*.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))))))
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(/.f64 ky (sin.f64 kx))
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#s(literal 1 binary64)
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(*.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 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
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(sin.f64 ky)
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(+.f64 (sin.f64 ky) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 ky))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))))
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(sin.f64 kx)
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(sin.f64 kx)
(+.f64 (sin.f64 kx) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 kx))))
(+.f64 (sin.f64 kx) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 kx))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))))
(+.f64 (sin.f64 kx) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 kx))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sin.f64 ky)
(+.f64 (sin.f64 ky) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 ky))))
(+.f64 (sin.f64 ky) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 ky))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))))
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(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
kx
(*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))
(*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 kx #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(pow.f64 ky #s(literal 2 binary64))
(*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 ky #s(literal 2 binary64)))))
(*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/315 binary64) (pow.f64 ky #s(literal 2 binary64))))) #s(literal 1/3 binary64)))))
(pow.f64 kx #s(literal 2 binary64))
(*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 kx #s(literal 2 binary64)))))
(*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/315 binary64) (pow.f64 kx #s(literal 2 binary64))))) #s(literal 1/3 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) #s(literal 1 binary64))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (*.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))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 1 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 ky))) #s(literal 1 binary64))
(*.f64 (sin.f64 ky) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 ky))
(*.f64 (cbrt.f64 (sin.f64 ky)) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 ky)))
(*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 ky)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))))
(pow.f64 (sin.f64 ky) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(fabs.f64 (sin.f64 ky))
(log.f64 (exp.f64 (sin.f64 ky)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 ky))))
(cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 ky)))
(log1p.f64 (expm1.f64 (sin.f64 ky)))
(exp.f64 (log.f64 (sin.f64 ky)))
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 1 binary64))
(*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sqrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sqrt.f64 (sin.f64 th)) (*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sin.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal -1 binary64))
(neg.f64 (/.f64 (sin.f64 th) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(*.f64 (sin.f64 th) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 th))
(*.f64 (cbrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 th)))
(*.f64 (sqrt.f64 (sin.f64 th)) (sqrt.f64 (sin.f64 th)))
(pow.f64 (sin.f64 th) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(exp.f64 (*.f64 (log.f64 (sin.f64 th)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) #s(literal 1 binary64))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (*.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))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 1 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
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(/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
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(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (sin.f64 kx)) (sin.f64 kx)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sin.f64 kx)) (*.f64 (sqrt.f64 (sin.f64 kx)) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 kx) (sqrt.f64 (sin.f64 kx))) (sqrt.f64 (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 kx) (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (cbrt.f64 (sin.f64 kx)))
(/.f64 (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.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 th) (sin.f64 kx))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (*.f64 (sin.f64 th) (sin.f64 kx))) (/.f64 (*.f64 (sin.f64 th) #s(literal 1/12 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 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) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (*.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.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 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 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)))))))) (fma.f64 #s(literal -1/12 binary64) (*.f64 (sin.f64 kx) (*.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)))))) (fma.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/5040 binary64)))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal 1/12 binary64) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.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 th) (sin.f64 kx))) (fma.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 th) (sin.f64 kx))) #s(literal -1/12 binary64) (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/240 binary64) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/5040 binary64))))) (*.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)))) (*.f64 (sin.f64 th) (sin.f64 kx))))))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))
(*.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))))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(*.f64 th (fma.f64 #s(literal -1/6 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 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))) (sin.f64 ky))))
(*.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 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 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 th (fma.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 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
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ky
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(/.f64 (sin.f64 th) (sin.f64 ky))
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th
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(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
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(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))
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(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))
(/.f64 ky (sin.f64 kx))
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(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(fabs.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 kx))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sin.f64 kx)))
(*.f64 (sin.f64 kx) #s(literal 1 binary64))
(sin.f64 kx)
(*.f64 #s(literal 1 binary64) (sin.f64 kx))
(sin.f64 kx)
(*.f64 (cbrt.f64 (sin.f64 kx)) (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 kx)))
(*.f64 (cbrt.f64 (sin.f64 kx)) (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx)))
(sin.f64 kx)
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(pow.f64 (sin.f64 kx) #s(literal 1 binary64))
(sin.f64 kx)
(pow.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sin.f64 kx)
(pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 3 binary64))
(sin.f64 kx)
(pow.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sin.f64 kx)
(pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 binary64))
(sin.f64 kx)
(sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(sin.f64 kx)
(fabs.f64 (sin.f64 kx))
(sin.f64 kx)
(log.f64 (exp.f64 (sin.f64 kx)))
(sin.f64 kx)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 kx))))
(sin.f64 kx)
(cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))
(sin.f64 kx)
(expm1.f64 (log1p.f64 (sin.f64 kx)))
(log1p.f64 (expm1.f64 (sin.f64 kx)))
(sin.f64 kx)
(exp.f64 (log.f64 (sin.f64 kx)))
(sin.f64 kx)
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(sin.f64 kx)
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(*.f64 (sin.f64 ky) (sin.f64 ky))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 ky)) (sin.f64 ky)))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 ky)))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(*.f64 (*.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 ky)))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 ky ky)) (cos.f64 (+.f64 ky ky))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))) #s(literal 1 binary64)))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(*.f64 (sin.f64 kx) (sin.f64 kx))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (sin.f64 kx)) (sin.f64 kx)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 (sin.f64 kx) (cbrt.f64 (sin.f64 kx))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (sin.f64 kx)) (*.f64 (sqrt.f64 (sin.f64 kx)) (sin.f64 kx)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(*.f64 (*.f64 (sin.f64 kx) (sqrt.f64 (sin.f64 kx))) (sqrt.f64 (sin.f64 kx)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(*.f64 (*.f64 (sin.f64 kx) (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (cbrt.f64 (sin.f64 kx)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 (sin.f64 kx) (cbrt.f64 (sin.f64 kx))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 4 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))

eval92.0ms (0.7%)

Compiler

Compiled 14206 to 2540 computations (82.1% saved)

prune99.0ms (0.8%)

Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New55023573
Fresh000
Picked112
Done000
Total55124575
Accuracy
100.0%
Counts
575 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 3 binary64))
96.8%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
28.1%
(/.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)))
99.6%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
▶96.4%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
99.6%
(*.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 th))
98.9%
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)) (sin.f64 th))
99.7%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
82.0%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
32.8%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
30.5%
(*.f64 (/.f64 ky (sin.f64 kx)) (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))
99.5%
(*.f64 (sin.f64 ky) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal -1 binary64)))
✓99.7%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
▶63.4%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
50.3%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
▶34.0%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
32.8%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
65.7%
(*.f64 (sin.f64 ky) (/.f64 (log.f64 (exp.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
46.4%
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
49.1%
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
30.5%
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
▶34.0%
(sin.f64 th)
Compiler

Compiled 640 to 435 computations (32% saved)

simplify264.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 17 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)) (*.f64 (sin.f64 ky) (sin.f64 th)))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
cost-diff0
(sin.f64 th)
✓cost-diff0
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))
cost-diff0
(sin.f64 ky)
✓cost-diff0
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) 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 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
1930×associate-/r*
1135×associate-/r/
836×cube-prod
738×pow-sqr
362×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025494
147494
269494
395494
4139494
5353494
61423494
72489494
82603494
92647494
102711494
112806494
122922494
133065494
143236494
153440494
163671494
173940494
184245494
194586494
204903494
215026494
225078494
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(sin.f64 th)
th
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 ky)
ky
(sin.f64 kx)
kx
(sin.f64 th)
th
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(sin.f64 ky)
ky
(/.f64 (sin.f64 th) (sin.f64 ky))
(sin.f64 th)
th
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(sin.f64 ky)
ky
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))
(sin.f64 th)
th
(hypot.f64 (sin.f64 ky) kx)
kx
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
#s(literal 1 binary64)
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 ky)
ky
(sin.f64 kx)
kx
(*.f64 (sin.f64 ky) (sin.f64 th))
(sin.f64 th)
th
Outputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (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 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(sin.f64 th)
th
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 ky)
ky
(sin.f64 kx)
kx
(sin.f64 th)
th
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(sin.f64 th)
(sin.f64 ky)
ky
(/.f64 (sin.f64 th) (sin.f64 ky))
(sin.f64 th)
th
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx))
(sin.f64 ky)
ky
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))
(sin.f64 th)
th
(hypot.f64 (sin.f64 ky) kx)
kx
(/.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 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (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 (sin.f64 th) (/.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 (sin.f64 ky) (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 ky)
ky
(sin.f64 kx)
kx
(*.f64 (sin.f64 ky) (sin.f64 th))
(*.f64 (sin.f64 th) (sin.f64 ky))
(sin.f64 th)
th

localize115.0ms (0.9%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓accuracy99.6%
(*.f64 (sin.f64 ky) (sin.f64 th))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
✓accuracy96.8%
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
accuracy100.0%
(sin.f64 ky)
✓accuracy100.0%
(hypot.f64 (sin.f64 ky) kx)
✓accuracy99.7%
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))
✓accuracy99.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) 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 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
83.0ms256×0valid
Compiler

Compiled 131 to 19 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-sin: 26.0ms (53.8% of total)
ival-div: 9.0ms (18.6% of total)
ival-hypot: 8.0ms (16.6% of total)
ival-mult: 5.0ms (10.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series85.0ms (0.7%)

Counts
10 → 268
Calls
Call 1
Inputs
#<alt (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))>
#<alt (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))>
#<alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))>
#<alt (/.f64 (sin.f64 th) (sin.f64 ky))>
#<alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))>
#<alt (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))>
#<alt (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))>
#<alt (hypot.f64 (sin.f64 ky) kx)>
#<alt (*.f64 (sin.f64 ky) (sin.f64 th))>
Outputs
#<alt (*.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))))))>
#<alt (*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))>
#<alt (*.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 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 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)))))))))))>
#<alt (*.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 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 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 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 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) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (*.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (sin.f64 th)>
#<alt (+.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (+.f64 (sin.f64 th) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))))>
#<alt (+.f64 (sin.f64 th) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (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) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 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) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (/.f64 (sin.f64 kx) ky)>
#<alt (/.f64 (+.f64 (sin.f64 kx) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))) ky)>
#<alt (/.f64 (+.f64 (sin.f64 kx) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 7/360 binary64) (sin.f64 kx)) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))))))) ky)>
#<alt (/.f64 (+.f64 (sin.f64 kx) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 7/360 binary64) (sin.f64 kx)) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 31/15120 binary64) (sin.f64 kx)) (+.f64 (*.f64 #s(literal 7/720 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx))))))))))))))) ky)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
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#<alt (sin.f64 th)>
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#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
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#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)))) (/.f64 #s(literal 1 binary64) (sin.f64 th)))>
#<alt (+.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)))))) (/.f64 #s(literal 1 binary64) (sin.f64 th)))>
#<alt (+.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)))))) (/.f64 #s(literal 1 binary64) (sin.f64 th)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) th)>
#<alt (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 7/360 binary64) (*.f64 (/.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))) th)>
#<alt (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 31/15120 binary64) (*.f64 (/.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 #s(literal 7/360 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))) th)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt kx>
#<alt (+.f64 kx (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) kx)))>
#<alt (+.f64 kx (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 2 binary64)))))) kx)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) kx)))))>
#<alt (+.f64 kx (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 2 binary64))))) kx)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 2 binary64))))) (pow.f64 kx #s(literal 2 binary64)))))) kx)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) kx)))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sin.f64 ky)>
#<alt (+.f64 (sin.f64 ky) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 ky))))>
#<alt (+.f64 (sin.f64 ky) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))))>
#<alt (+.f64 (sin.f64 ky) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))))>
#<alt kx>
#<alt (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64))))))>
#<alt (*.f64 kx (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64)))))))>
#<alt (*.f64 kx (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 kx #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) kx)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 kx (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 kx (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 kx #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64)))))))))>
#<alt (*.f64 ky (sin.f64 th))>
#<alt (*.f64 ky (+.f64 (sin.f64 th) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th)))))>
#<alt (*.f64 ky (+.f64 (sin.f64 th) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th)))))))>
#<alt (*.f64 ky (+.f64 (sin.f64 th) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th))) (*.f64 #s(literal 1/120 binary64) (sin.f64 th))))))))>
#<alt (*.f64 th (sin.f64 ky))>
#<alt (*.f64 th (+.f64 (sin.f64 ky) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)))))>
#<alt (*.f64 th (+.f64 (sin.f64 ky) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)))))))>
#<alt (*.f64 th (+.f64 (sin.f64 ky) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky))) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky))))))))>
Calls

75 calls:

TimeVariablePointExpression
9.0ms
ky
@inf
(/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (sin ky) (sin th))))
8.0ms
ky
@0
(/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (sin ky) (sin th)))
6.0ms
ky
@0
(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* kx kx)))))
4.0ms
ky
@-inf
(/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (sin ky) (sin th))))
2.0ms
th
@inf
(/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (sin ky) (sin th)))

rewrite224.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
970×log1p-expm1-u
514×prod-diff
170×add-exp-log
170×add-log-exp
170×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025341
1395341
25423341
Stop Event
1×node limit
Counts
10 → 405
Calls
Call 1
Inputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(hypot.f64 (sin.f64 ky) kx)
(*.f64 (sin.f64 ky) (sin.f64 th))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) #s(literal 1 binary64))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) (/.f64 (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 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal -2 binary64))) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (sqrt.f64 (sin.f64 th)) (*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 ky)))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
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(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) #s(literal 2 binary64))
(neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky)))))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) kx))) #s(literal 1 binary64))
(*.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx))
(*.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)))
(pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) kx)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 (sin.f64 ky) kx))))
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) kx)))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 ky) kx)))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 ky) kx)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))) #s(literal 1 binary64))
(-.f64 (/.f64 (cos.f64 (-.f64 ky th)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 th ky)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))) #s(literal -2 binary64))
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (sin.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (sin.f64 ky))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (sin.f64 ky))))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 1 binary64)))

simplify457.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
952×fma-define
517×distribute-rgt-in
517×distribute-lft-in
443×*-commutative
318×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0135341209
1378739718
Stop Event
1×node limit
Counts
673 → 668
Calls
Call 1
Inputs
(*.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))))))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(*.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 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 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 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 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 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 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 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) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (*.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(sin.f64 th)
(+.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(+.f64 (sin.f64 th) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))))
(+.f64 (sin.f64 th) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (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) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 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) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/.f64 (sin.f64 kx) ky)
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(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
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#s(literal 1 binary64)
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(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
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(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
th
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
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(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(/.f64 th (sin.f64 ky))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
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(/.f64 (sin.f64 th) ky)
(/.f64 (+.f64 (sin.f64 th) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th)))) ky)
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(/.f64 (*.f64 ky (sin.f64 th)) kx)
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(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
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(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(sin.f64 th)
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(sin.f64 th)
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(/.f64 (sin.f64 kx) (*.f64 ky (sin.f64 th)))
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
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kx
(+.f64 kx (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) kx)))
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(sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
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(sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sin.f64 ky)
(+.f64 (sin.f64 ky) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 ky))))
(+.f64 (sin.f64 ky) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))))
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kx
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(*.f64 #s(literal -1 binary64) kx)
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(*.f64 ky (sin.f64 th))
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(*.f64 th (sin.f64 ky))
(*.f64 th (+.f64 (sin.f64 ky) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) #s(literal 1 binary64))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) (/.f64 (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 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
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(*.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal -2 binary64))))
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(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (sqrt.f64 (sin.f64 th)) (*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 ky)))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (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 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) kx))) #s(literal 1 binary64))
(*.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx))
(*.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)))
(pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) kx)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 (sin.f64 ky) kx))))
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) kx)))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 ky) kx)))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 ky) kx)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))) #s(literal 1 binary64))
(-.f64 (/.f64 (cos.f64 (-.f64 ky th)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 th ky)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))) #s(literal -2 binary64))
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (sin.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (sin.f64 ky))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (sin.f64 ky))))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 1 binary64)))
Outputs
(*.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))))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(*.f64 th (fma.f64 #s(literal -1/6 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 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(*.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 (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 ky))))
(*.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 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 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 th (fma.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 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.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) (pow.f64 th #s(literal 2 binary64)))) #s(literal 1/120 binary64))))))
(*.f64 th (fma.f64 (pow.f64 th #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 (sin.f64 ky) (fma.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(*.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 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 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 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))))
(*.f64 th (fma.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 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 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 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 ky) #s(literal 1/120 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))))
(*.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #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 (sin.f64 ky) (fma.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.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)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.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)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.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)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.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)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.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)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.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)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.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)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.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)))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 #s(literal 1/12 binary64) (/.f64 (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 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 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) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (*.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
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(/.f64 (sin.f64 th) ky)
(/.f64 (+.f64 (sin.f64 th) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th)))) ky)
(/.f64 (+.f64 (sin.f64 th) (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 th) (pow.f64 ky #s(literal 2 binary64))))) ky)
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) ky)
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(/.f64 (*.f64 ky (sin.f64 th)) kx)
(*.f64 ky (/.f64 (sin.f64 th) kx))
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 2 binary64)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 2 binary64)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
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(sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(hypot.f64 (sin.f64 ky) kx)
(sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(hypot.f64 (sin.f64 ky) kx)
(sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(hypot.f64 (sin.f64 ky) kx)
(sin.f64 ky)
(+.f64 (sin.f64 ky) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 ky))))
(+.f64 (sin.f64 ky) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 kx #s(literal 2 binary64))) (sin.f64 ky)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 ky)) (sin.f64 ky))
(+.f64 (sin.f64 ky) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))))
(+.f64 (sin.f64 ky) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))))
(fma.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))
(+.f64 (sin.f64 ky) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))))
(+.f64 (sin.f64 ky) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 kx #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))))
(fma.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))
kx
(*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64))))))
(*.f64 kx (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 kx (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64)))))))
(*.f64 kx (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64)))))))
(*.f64 kx (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 kx #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64))))))))
(*.f64 kx (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 kx #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) kx)
(neg.f64 kx)
(*.f64 #s(literal -1 binary64) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64)))))))
(*.f64 (neg.f64 kx) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (neg.f64 kx))
(*.f64 #s(literal -1 binary64) (*.f64 kx (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64))))))))
(*.f64 (neg.f64 kx) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64)))))) (neg.f64 kx))
(*.f64 #s(literal -1 binary64) (*.f64 kx (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 kx #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64)))))))))
(*.f64 (neg.f64 kx) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 kx #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 kx #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64))))))) (neg.f64 kx))
(*.f64 ky (sin.f64 th))
(*.f64 ky (+.f64 (sin.f64 th) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th)))))
(*.f64 ky (+.f64 (sin.f64 th) (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 th) (pow.f64 ky #s(literal 2 binary64))))))
(*.f64 ky (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)))
(*.f64 ky (+.f64 (sin.f64 th) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th)))))))
(*.f64 ky (+.f64 (sin.f64 th) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 th) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 th) (pow.f64 ky #s(literal 2 binary64))))))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 2 binary64))))) (sin.f64 th)))
(*.f64 ky (+.f64 (sin.f64 th) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th))) (*.f64 #s(literal 1/120 binary64) (sin.f64 th))))))))
(*.f64 ky (+.f64 (sin.f64 th) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 th) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 th) (pow.f64 ky #s(literal 2 binary64))) (*.f64 #s(literal 1/120 binary64) (sin.f64 th))))))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1/120 binary64))) (*.f64 #s(literal -1/6 binary64) (sin.f64 th))) (sin.f64 th)))
(*.f64 th (sin.f64 ky))
(*.f64 th (+.f64 (sin.f64 ky) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)))))
(*.f64 th (+.f64 (sin.f64 ky) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))) (sin.f64 ky))))
(*.f64 th (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 ky)))
(*.f64 th (+.f64 (sin.f64 ky) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)))))))
(*.f64 th (+.f64 (sin.f64 ky) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/120 binary64)) (sin.f64 ky))))))
(*.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sin.f64 ky) (fma.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (sin.f64 ky)))
(*.f64 th (+.f64 (sin.f64 ky) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky))) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky))))))))
(*.f64 th (+.f64 (sin.f64 ky) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64))) (*.f64 (sin.f64 ky) #s(literal 1/120 binary64))))))))
(*.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sin.f64 ky) (fma.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (sin.f64 ky) #s(literal -1/6 binary64))) (sin.f64 ky)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.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 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (*.f64 (/.f64 (cbrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (cbrt.f64 (sin.f64 th)) (sin.f64 ky)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (cbrt.f64 (sin.f64 th))))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal -2 binary64))) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sqrt.f64 (sin.f64 th)) (*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (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 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 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal -1 binary64)))
(*.f64 (sin.f64 ky) (/.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))) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
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(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal 2 binary64)) (sqrt.f64 (sin.f64 th))) (/.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (sqrt.f64 (sin.f64 th))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (cbrt.f64 (sin.f64 th))))
(*.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))) #s(literal 2 binary64))
(/.f64 (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 1 binary64))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) #s(literal 3 binary64))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) #s(literal 2 binary64))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky)))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(log.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 3 binary64)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 3 binary64))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(exp.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) #s(literal 1 binary64)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) kx))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 1 binary64))
(hypot.f64 (sin.f64 ky) kx)
(*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx))
(hypot.f64 (sin.f64 ky) kx)
(*.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 2 binary64)))
(hypot.f64 (sin.f64 ky) kx)
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)))
(hypot.f64 (sin.f64 ky) kx)
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)))
(hypot.f64 (sin.f64 ky) kx)
(pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 1 binary64))
(hypot.f64 (sin.f64 ky) kx)
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(hypot.f64 (sin.f64 ky) kx)
(pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 3 binary64))
(hypot.f64 (sin.f64 ky) kx)
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 (sin.f64 ky) kx)
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 2 binary64))
(hypot.f64 (sin.f64 ky) kx)
(sqrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 2 binary64)))
(hypot.f64 (sin.f64 ky) kx)
(log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) kx)))
(hypot.f64 (sin.f64 ky) kx)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 (sin.f64 ky) kx))))
(hypot.f64 (sin.f64 ky) kx)
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 3 binary64)))
(hypot.f64 (sin.f64 ky) kx)
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) kx)))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 ky) kx)))
(hypot.f64 (sin.f64 ky) kx)
(exp.f64 (log.f64 (hypot.f64 (sin.f64 ky) kx)))
(hypot.f64 (sin.f64 ky) kx)
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 1 binary64)))
(hypot.f64 (sin.f64 ky) kx)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))
(-.f64 (/.f64 (cos.f64 (-.f64 ky th)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 th ky)) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))) #s(literal -2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 1 binary64))
(*.f64 (sin.f64 ky) (sin.f64 th))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 3 binary64))
(*.f64 (sin.f64 ky) (sin.f64 th))
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (sin.f64 ky) (sin.f64 th))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 2 binary64))
(*.f64 (sin.f64 ky) (sin.f64 th))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (sin.f64 th))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))))
(*.f64 (sin.f64 ky) (sin.f64 th))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 3 binary64)))
(*.f64 (sin.f64 ky) (sin.f64 th))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))
(*.f64 (sin.f64 ky) (sin.f64 th))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(*.f64 (sin.f64 ky) (sin.f64 th))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (sin.f64 ky))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (sin.f64 th))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (sin.f64 th))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 1 binary64)))
(*.f64 (sin.f64 ky) (sin.f64 th))

eval176.0ms (1.3%)

Compiler

Compiled 24636 to 3777 computations (84.7% saved)

prune235.0ms (1.8%)

Pruning

52 alts after pruning (49 fresh and 3 done)

PrunedKeptTotal
New1092381130
Fresh71118
Picked325
Done011
Total1102521154
Accuracy
100.0%
Counts
1154 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.5%
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
60.6%
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx))
41.2%
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
96.8%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
▶22.3%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
21.1%
(/.f64 (*.f64 ky (sin.f64 th)) kx)
✓99.7%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
49.1%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky))
50.3%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
30.5%
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
99.5%
(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
▶99.6%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
65.7%
(/.f64 (log.f64 (exp.f64 (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
46.5%
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
▶43.3%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
28.1%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 ky (sin.f64 th))))
34.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
96.1%
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) (sin.f64 ky)))))
29.2%
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
98.9%
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)) (sin.f64 th))
82.0%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
32.8%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
30.5%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
96.7%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sin.f64 th) (sin.f64 ky)))
99.5%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) (sin.f64 ky))
99.5%
(*.f64 (sin.f64 ky) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal -1 binary64)))
16.0%
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) ky))
✓99.7%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
50.3%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
35.4%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky kx)))
32.8%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
47.2%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))
33.9%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (expm1.f64 (log1p.f64 (sin.f64 ky)))))
16.2%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
24.7%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
46.4%
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
▶32.8%
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
33.9%
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
33.9%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
18.4%
(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))
16.4%
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
16.0%
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
30.5%
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
23.6%
(*.f64 ky (/.f64 (sin.f64 th) kx))
✓34.0%
(sin.f64 th)
34.0%
(log1p.f64 (expm1.f64 (sin.f64 th)))
29.2%
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
29.2%
(log.f64 (exp.f64 (sin.f64 th)))
31.1%
(fabs.f64 (sin.f64 th))
23.6%
(exp.f64 (log.f64 (sin.f64 th)))
32.7%
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
▶16.7%
th
Compiler

Compiled 1201 to 848 computations (29.4% saved)

simplify22.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 16 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)) (*.f64 (sin.f64 ky) th))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
cost-diff0
(hypot.f64 (sin.f64 ky) kx)
✓cost-diff0
(/.f64 th (hypot.f64 (sin.f64 ky) kx))
cost-diff0
(sin.f64 ky)
✓cost-diff0
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
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)) kx)
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
37×associate-*r*
36×associate-*l*
23×*-commutative
17×associate-/l*
12×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025482
149482
272476
399476
4136476
5194476
6230476
7243476
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(sin.f64 ky)
ky
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
kx
(sin.f64 th)
th
th
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(*.f64 (sin.f64 ky) (sin.f64 th))
(sin.f64 ky)
ky
(sin.f64 th)
th
kx
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(sin.f64 ky)
ky
(/.f64 th (hypot.f64 (sin.f64 ky) kx))
th
(hypot.f64 (sin.f64 ky) kx)
kx
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
#s(literal 1 binary64)
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 ky)
ky
(sin.f64 kx)
kx
(*.f64 (sin.f64 ky) th)
th
Outputs
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(*.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 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(sin.f64 ky)
ky
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
kx
(sin.f64 th)
th
th
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (sin.f64 ky) (sin.f64 th))
(sin.f64 ky)
ky
(sin.f64 th)
th
kx
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(sin.f64 ky)
ky
(/.f64 th (hypot.f64 (sin.f64 ky) kx))
th
(hypot.f64 (sin.f64 ky) kx)
kx
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 th (/.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 (sin.f64 ky) th))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 ky)
ky
(sin.f64 kx)
kx
(*.f64 (sin.f64 ky) th)
th

localize108.0ms (0.8%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓accuracy99.8%
(*.f64 (sin.f64 ky) th)
✓accuracy99.4%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
✓accuracy96.8%
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))
accuracy100.0%
(sin.f64 ky)
accuracy100.0%
(hypot.f64 (sin.f64 ky) kx)
✓accuracy99.9%
(/.f64 th (hypot.f64 (sin.f64 ky) kx))
✓accuracy95.7%
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
accuracy100.0%
(sin.f64 th)
accuracy100.0%
(sin.f64 ky)
accuracy99.6%
(*.f64 (sin.f64 ky) (sin.f64 th))
✓accuracy96.9%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
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
82.0ms256×0valid
Compiler

Compiled 120 to 19 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-sin: 21.0ms (46.2% of total)
ival-div: 10.0ms (22% of total)
ival-hypot: 8.0ms (17.6% of total)
ival-mult: 6.0ms (13.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series68.0ms (0.5%)

Counts
8 → 248
Calls
Call 1
Inputs
#<alt (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))>
#<alt (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))>
#<alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)>
#<alt (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))>
#<alt (/.f64 th (hypot.f64 (sin.f64 ky) kx))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))>
#<alt (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))>
#<alt (*.f64 (sin.f64 ky) th)>
Outputs
#<alt (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 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) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (*.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (sin.f64 th)>
#<alt (+.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (+.f64 (sin.f64 th) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))))>
#<alt (+.f64 (sin.f64 th) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (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) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 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) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.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))))))>
#<alt (*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))>
#<alt (*.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 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 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)))))))))))>
#<alt (*.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 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 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 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (/.f64 (sin.f64 kx) (sin.f64 th))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (*.f64 (sin.f64 kx) (sin.f64 th)))) (/.f64 (sin.f64 kx) (sin.f64 th)))>
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#<alt (/.f64 (*.f64 ky (sin.f64 th)) kx)>
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#<alt (/.f64 th kx)>
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#<alt (/.f64 th kx)>
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#<alt th>
#<alt (+.f64 th (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (+.f64 th (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 th (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))))>
#<alt (+.f64 th (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 th (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 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) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 th (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (/.f64 (sin.f64 kx) (*.f64 ky th))>
#<alt (/.f64 (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 kx) th)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 kx)))))) (/.f64 (sin.f64 kx) th)) ky)>
#<alt (/.f64 (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 kx) th)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 kx)))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 th (sin.f64 kx)))) (+.f64 (*.f64 #s(literal 7/360 binary64) (/.f64 (sin.f64 kx) th)) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 kx)))))))))) (/.f64 (sin.f64 kx) th)) ky)>
#<alt (/.f64 (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 kx) th)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 kx)))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 th (sin.f64 kx)))) (+.f64 (*.f64 #s(literal 7/360 binary64) (/.f64 (sin.f64 kx) th)) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 kx)))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 th (sin.f64 kx)))) (+.f64 (*.f64 #s(literal 31/15120 binary64) (/.f64 (sin.f64 kx) th)) (+.f64 (*.f64 #s(literal 7/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 kx)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 th (sin.f64 kx))))))))))))))) (/.f64 (sin.f64 kx) th)) ky)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) th)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) th))>
#<alt (+.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) th))>
#<alt (+.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) th))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 ky th)>
#<alt (*.f64 ky (+.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) th))))>
#<alt (*.f64 ky (+.f64 th (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) th) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) th))))))>
#<alt (*.f64 ky (+.f64 th (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) th) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) th)) (*.f64 #s(literal 1/120 binary64) th)))))))>
#<alt (*.f64 th (sin.f64 ky))>
#<alt (*.f64 th (sin.f64 ky))>
#<alt (*.f64 th (sin.f64 ky))>
#<alt (*.f64 th (sin.f64 ky))>
#<alt (*.f64 th (sin.f64 ky))>
#<alt (*.f64 th (sin.f64 ky))>
#<alt (*.f64 th (sin.f64 ky))>
#<alt (*.f64 th (sin.f64 ky))>
#<alt (*.f64 th (sin.f64 ky))>
#<alt (*.f64 th (sin.f64 ky))>
#<alt (*.f64 th (sin.f64 ky))>
#<alt (*.f64 th (sin.f64 ky))>
#<alt (*.f64 th (sin.f64 ky))>
#<alt (*.f64 th (sin.f64 ky))>
#<alt (*.f64 th (sin.f64 ky))>
#<alt (*.f64 th (sin.f64 ky))>
#<alt (*.f64 th (sin.f64 ky))>
#<alt (*.f64 th (sin.f64 ky))>
#<alt (*.f64 th (sin.f64 ky))>
#<alt (*.f64 th (sin.f64 ky))>
Calls

69 calls:

TimeVariablePointExpression
6.0ms
th
@inf
(/ th (sqrt (+ (* (sin ky) (sin ky)) (* kx kx))))
5.0ms
kx
@inf
(/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin th))
4.0ms
th
@inf
(/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (sin ky) th))
2.0ms
kx
@0
(* (sin ky) (/ th (sqrt (+ (* (sin ky) (sin ky)) (* kx kx)))))
2.0ms
ky
@0
(/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (sin ky) th)))

rewrite224.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
746×log1p-expm1-u
523×prod-diff
185×add-exp-log
185×add-log-exp
185×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025285
1400279
25896279
Stop Event
1×node limit
Counts
8 → 302
Calls
Call 1
Inputs
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(/.f64 th (hypot.f64 (sin.f64 ky) kx))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))
(*.f64 (sin.f64 ky) th)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) #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 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th)))))
(*.f64 (/.f64 (sin.f64 th) (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))) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.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) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 2 binary64))) (/.f64 (sin.f64 ky) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(*.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 th)))
(*.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (sin.f64 th))) (sqrt.f64 (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (sin.f64 th)))
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64))
(neg.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) #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 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(*.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 th))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (cbrt.f64 (sin.f64 th))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sqrt.f64 (sin.f64 th))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (sqrt.f64 (sin.f64 th))) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (sin.f64 th))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (cbrt.f64 (sin.f64 th))))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64))
(neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th))))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx)))) #s(literal 1 binary64))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) kx)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) kx))
(*.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) kx)))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) kx))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 #s(literal 1 binary64) kx)))
(*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) kx)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))) (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) kx))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (*.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 #s(literal 1 binary64) kx)))
(*.f64 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))) (/.f64 #s(literal 1 binary64) (neg.f64 kx)))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) #s(literal 1 binary64)) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 kx) #s(literal 2 binary64))) (/.f64 (sin.f64 th) (cbrt.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 kx)) (/.f64 (sin.f64 th) (sqrt.f64 kx)))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 kx)) (/.f64 (sin.f64 ky) (sqrt.f64 kx)))
(*.f64 (/.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 kx) #s(literal 2 binary64))) (/.f64 (sin.f64 ky) (cbrt.f64 kx)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 kx) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (cbrt.f64 kx)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 kx)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 kx)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) kx))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 kx) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 2 binary64)) (sqrt.f64 kx)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 kx)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) kx))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 (cbrt.f64 kx) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (cbrt.f64 kx)))
(pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 kx (sin.f64 ky)) (sin.f64 th)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (neg.f64 kx)))
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))) kx))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx)) #s(literal 3 binary64)))
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sin.f64 ky) th)))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) th))))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) (/.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (neg.f64 th))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) th))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(*.f64 (/.f64 #s(literal 1 binary64) th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) th)) #s(literal 2 binary64))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (cbrt.f64 (*.f64 (sin.f64 ky) th))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (sin.f64 ky) th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sqrt.f64 (*.f64 (sin.f64 ky) th))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (sin.f64 ky)) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) th) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sin.f64 ky) th)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) th)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (sqrt.f64 (*.f64 (sin.f64 ky) th))) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (*.f64 (sin.f64 ky) th))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sin.f64 ky) th)))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) th)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (cbrt.f64 (*.f64 (sin.f64 ky) th))))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64))
(neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (neg.f64 th))))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 ky) th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) th))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sin.f64 ky) th) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) th)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) th) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) th)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) th) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 th) (sin.f64 ky)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 ky) th))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) th) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 th #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 th #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) th)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) th)))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) th)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 ky) th)) #s(literal 1 binary64)))

simplify309.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
782×fma-define
564×associate-*r/
489×distribute-rgt-in
489×distribute-lft-in
405×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0122631577
1352131035
Stop Event
1×node limit
Counts
550 → 582
Calls
Call 1
Inputs
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 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) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (*.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(sin.f64 th)
(+.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(+.f64 (sin.f64 th) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))))
(+.f64 (sin.f64 th) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (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) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 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) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.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))))))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(*.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 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 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)))))))))))
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th
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(/.f64 th kx)
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(/.f64 th (sin.f64 ky))
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(/.f64 th kx)
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th
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(/.f64 (sin.f64 kx) (*.f64 ky th))
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(/.f64 #s(literal 1 binary64) th)
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(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 ky) th) #s(literal 3 binary64)) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 (*.f64 (sin.f64 ky) th)) (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))) #s(literal 1 binary64))
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) th)))
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) th)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
(*.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sin.f64 ky) th)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) th))))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sin.f64 ky) th)))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) th))))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) (/.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (neg.f64 th))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) th))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(*.f64 (/.f64 #s(literal 1 binary64) th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) th)) #s(literal 2 binary64))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (cbrt.f64 (*.f64 (sin.f64 ky) th))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (sin.f64 ky) th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sqrt.f64 (*.f64 (sin.f64 ky) th))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (sin.f64 ky)) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) th) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sin.f64 ky) th)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) th)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (sqrt.f64 (*.f64 (sin.f64 ky) th))) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (*.f64 (sin.f64 ky) th))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sin.f64 ky) th)))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) th)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (cbrt.f64 (*.f64 (sin.f64 ky) th))))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64))
(neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (neg.f64 th))))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 ky) th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) th))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sin.f64 ky) th) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) th)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) th) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) th)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) th) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 th) (sin.f64 ky)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 ky) th))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) th) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 th #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 th #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) th)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) th)))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) th)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 ky) th)) #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 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) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (*.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 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))))))) (fma.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (fma.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/5040 binary64)))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
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th
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(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th (sin.f64 ky)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) th) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th (sin.f64 ky)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sin.f64 ky) th)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th (sin.f64 ky)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) th)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky)))) (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 th (sin.f64 ky))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th (sin.f64 ky)))) (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 th (sin.f64 ky))) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (sqrt.f64 (*.f64 (sin.f64 ky) th))) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (*.f64 (sin.f64 ky) th))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 th (sin.f64 ky)))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sqrt.f64 (*.f64 th (sin.f64 ky)))))
(/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sqrt.f64 (*.f64 th (sin.f64 ky)))) (sqrt.f64 (*.f64 th (sin.f64 ky))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th (sin.f64 ky)))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th (sin.f64 ky)))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sin.f64 ky) th)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th (sin.f64 ky)))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) th)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (cbrt.f64 (*.f64 (sin.f64 ky) th))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th (sin.f64 ky)))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)) #s(literal 1 binary64))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th (sin.f64 ky)))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) #s(literal 3 binary64))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th (sin.f64 ky)))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th (sin.f64 ky)))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) #s(literal 2 binary64))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th (sin.f64 ky)))
(pow.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (neg.f64 th))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th (sin.f64 ky)))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky))) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th (sin.f64 ky))))
(log.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th (sin.f64 ky)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th (sin.f64 ky)))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)) #s(literal 3 binary64)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th (sin.f64 ky)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 ky) th) #s(literal 3 binary64))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th (sin.f64 ky)))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky)))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th (sin.f64 ky)))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th (sin.f64 ky)))
(exp.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th (sin.f64 ky)))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) #s(literal 1 binary64)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th (sin.f64 ky)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) th))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 th (sin.f64 ky))))
(pow.f64 (*.f64 (sin.f64 ky) th) #s(literal 1 binary64))
(*.f64 th (sin.f64 ky))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) th)) #s(literal 3 binary64))
(*.f64 th (sin.f64 ky))
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) th) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 th (sin.f64 ky))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) th)) #s(literal 2 binary64))
(*.f64 th (sin.f64 ky))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) th) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 th (sin.f64 ky)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 th (sin.f64 ky)))
(log.f64 (pow.f64 (exp.f64 th) (sin.f64 ky)))
(*.f64 th (sin.f64 ky))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 ky) th))))
(*.f64 th (sin.f64 ky))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) th) #s(literal 3 binary64)))
(*.f64 th (sin.f64 ky))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 th #s(literal 3 binary64))))
(*.f64 th (sin.f64 ky))
(cbrt.f64 (*.f64 (pow.f64 th #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))
(*.f64 th (sin.f64 ky))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) th)))
(expm1.f64 (log1p.f64 (*.f64 th (sin.f64 ky))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) th)))
(*.f64 th (sin.f64 ky))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) th)))
(*.f64 th (sin.f64 ky))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 ky) th)) #s(literal 1 binary64)))
(*.f64 th (sin.f64 ky))

eval239.0ms (1.8%)

Compiler

Compiled 22124 to 3640 computations (83.5% saved)

prune530.0ms (4%)

Pruning

75 alts after pruning (70 fresh and 5 done)

PrunedKeptTotal
New996341030
Fresh83644
Picked325
Done033
Total1007751082
Accuracy
100.0%
Counts
1082 → 75
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.7%
(pow.f64 (/.f64 (/.f64 kx (sin.f64 ky)) (sin.f64 th)) #s(literal -1 binary64))
24.5%
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))) #s(literal 3 binary64))
33.5%
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
96.8%
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
60.6%
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx))
41.2%
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
14.2%
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))) kx)
14.5%
(/.f64 (*.f64 (sin.f64 ky) th) kx)
43.7%
(/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
21.1%
(/.f64 (*.f64 ky (sin.f64 th)) kx)
13.9%
(/.f64 (*.f64 ky th) kx)
✓99.7%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
50.3%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
30.5%
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
99.5%
(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
65.6%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (log.f64 (exp.f64 (sin.f64 th)))))
32.8%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th))
32.8%
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
99.4%
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
46.5%
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
49.0%
(/.f64 ky (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
96.4%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))
23.4%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 ky (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
28.1%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 ky (sin.f64 th))))
15.3%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 ky th)))
34.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
16.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
21.2%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) th)))
29.2%
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
98.9%
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)) (sin.f64 th))
24.7%
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
46.4%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
82.0%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
32.8%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
30.5%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
22.3%
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
99.5%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) (sin.f64 ky))
24.7%
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
24.7%
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) kx)))
16.0%
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) ky))
✓99.7%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
▶50.3%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
35.4%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky kx)))
32.8%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
47.2%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))
33.9%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (expm1.f64 (log1p.f64 (sin.f64 ky)))))
16.2%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
11.5%
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 th) kx))
21.6%
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) #s(literal -1/6 binary64)))) kx)))
✓32.8%
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
21.7%
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky kx)))
17.1%
(*.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) kx)))))
16.9%
(*.f64 (sin.f64 ky) (/.f64 th kx))
33.9%
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
32.7%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx)) th))
33.9%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
18.4%
(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))
▶99.5%
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th)))))
11.5%
(*.f64 (neg.f64 th) (/.f64 (sin.f64 ky) kx))
16.9%
(*.f64 th (/.f64 (sin.f64 ky) kx))
16.4%
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
▶16.0%
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
30.5%
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
23.6%
(*.f64 ky (/.f64 (sin.f64 th) kx))
17.7%
(*.f64 ky (/.f64 th (sin.f64 kx)))
▶16.4%
(*.f64 ky (/.f64 th kx))
11.6%
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 th (sin.f64 ky)) kx))
✓34.0%
(sin.f64 th)
34.0%
(log1p.f64 (expm1.f64 (sin.f64 th)))
▶29.2%
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
29.2%
(log.f64 (exp.f64 (sin.f64 th)))
31.1%
(fabs.f64 (sin.f64 th))
23.6%
(exp.f64 (log.f64 (sin.f64 th)))
32.7%
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
✓16.7%
th
Compiler

Compiled 1727 to 1222 computations (29.2% saved)

simplify197.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
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
(expm1.f64 (sin.f64 th))
✓cost-diff128
(+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th)))
✓cost-diff12928
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
cost-diff0
(sin.f64 ky)
cost-diff0
(sin.f64 th)
cost-diff0
(/.f64 (sin.f64 th) (sin.f64 ky))
✓cost-diff0
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
✓cost-diff0
(/.f64 th kx)
✓cost-diff0
(*.f64 ky (/.f64 th kx))
cost-diff0
(sin.f64 ky)
✓cost-diff0
(neg.f64 (sin.f64 ky))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th))))
✓cost-diff256
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th)))))
Rules
942×fma-define
673×div-sub
648×fma-neg
639×associate-+r-
226×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030524
169518
2130504
3368498
4833498
51408498
62885498
74342498
85170498
95811498
106407498
116681498
126838498
137934498
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th)))))
(neg.f64 (sin.f64 ky))
(sin.f64 ky)
ky
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th))))
#s(literal 1 binary64)
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
kx
(neg.f64 (sin.f64 th))
(sin.f64 th)
th
(*.f64 ky (/.f64 th kx))
ky
(/.f64 th kx)
th
kx
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
ky
(/.f64 (sin.f64 th) (sin.f64 ky))
(sin.f64 th)
th
(sin.f64 ky)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
(+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th)))
#s(literal 1 binary64)
(expm1.f64 (sin.f64 th))
(sin.f64 th)
th
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(sin.f64 ky)
ky
(/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))
(sin.f64 th)
th
(hypot.f64 ky (sin.f64 kx))
(sin.f64 kx)
kx
Outputs
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th)))))
(*.f64 (neg.f64 (sin.f64 ky)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (neg.f64 (sin.f64 th))))
(*.f64 (/.f64 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (neg.f64 (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(neg.f64 (sin.f64 ky))
(sin.f64 ky)
ky
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (neg.f64 (sin.f64 th)))
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (neg.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)) (neg.f64 (sin.f64 th)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
kx
(neg.f64 (sin.f64 th))
(sin.f64 th)
th
(*.f64 ky (/.f64 th kx))
(*.f64 th (/.f64 ky kx))
ky
(/.f64 th kx)
th
kx
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
ky
(/.f64 (sin.f64 th) (sin.f64 ky))
(sin.f64 th)
th
(sin.f64 ky)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
(sin.f64 th)
(+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th)))
(exp.f64 (sin.f64 th))
#s(literal 1 binary64)
(expm1.f64 (sin.f64 th))
(sin.f64 th)
th
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(sin.f64 ky)
ky
(/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))
(sin.f64 th)
th
(hypot.f64 ky (sin.f64 kx))
(sin.f64 kx)
kx

localize448.0ms (3.4%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 kx)
✓accuracy100.0%
(hypot.f64 ky (sin.f64 kx))
✓accuracy99.7%
(/.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)
✓accuracy99.8%
(+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th)))
✓accuracy99.7%
(expm1.f64 (sin.f64 th))
✓accuracy57.9%
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
accuracy100.0%
(sin.f64 th)
accuracy100.0%
(sin.f64 ky)
✓accuracy99.7%
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
accuracy99.7%
(/.f64 (sin.f64 th) (sin.f64 ky))
✓accuracy100.0%
(/.f64 th kx)
✓accuracy93.2%
(*.f64 ky (/.f64 th kx))
accuracy99.9%
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓accuracy99.7%
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th)))))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th))))
✓accuracy99.6%
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th)))
Results
231.0ms50×2valid
82.0ms142×0valid
45.0ms64×1valid
Compiler

Compiled 137 to 24 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 232.0ms
ival-div: 153.0ms (66% of total)
ival-sin: 24.0ms (10.4% of total)
ival-hypot: 13.0ms (5.6% of total)
ival-log: 13.0ms (5.6% of total)
ival-mult: 10.0ms (4.3% of total)
backward-pass: 9.0ms (3.9% of total)
ival-expm1: 4.0ms (1.7% of total)
ival-neg: 4.0ms (1.7% of total)
ival-add: 2.0ms (0.9% of total)
const: 1.0ms (0.4% of total)

series129.0ms (1%)

Counts
13 → 312
Calls
Call 1
Inputs
#<alt (*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th)))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th))))>
#<alt (neg.f64 (sin.f64 ky))>
#<alt (*.f64 ky (/.f64 th kx))>
#<alt (/.f64 th kx)>
#<alt (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))>
#<alt (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th)))>
#<alt (expm1.f64 (sin.f64 th))>
#<alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))>
#<alt (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))>
#<alt (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th)))>
#<alt (hypot.f64 ky (sin.f64 kx))>
Outputs
#<alt (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 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) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (*.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (sin.f64 th)>
#<alt (+.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (+.f64 (sin.f64 th) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))))>
#<alt (+.f64 (sin.f64 th) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (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) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 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) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.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))))))>
#<alt (*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))>
#<alt (*.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 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 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)))))))))))>
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#<alt (+.f64 (sin.f64 th) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (+.f64 (*.f64 #s(literal 1/720 binary64) (sin.f64 th)) (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/36 binary64) (sin.f64 th)) (*.f64 #s(literal 1/120 binary64) (sin.f64 th)))))))) (+.f64 (*.f64 #s(literal -1/36 binary64) (sin.f64 th)) (*.f64 #s(literal 1/120 binary64) (sin.f64 th))))) (*.f64 #s(literal -1/6 binary64) (sin.f64 th)))))>
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#<alt (*.f64 th (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 ky (sin.f64 ky))) (*.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) (sin.f64 ky))))) (/.f64 ky (sin.f64 ky))))>
#<alt (*.f64 th (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 ky (sin.f64 ky))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) (sin.f64 ky))) (*.f64 #s(literal 1/120 binary64) (/.f64 ky (sin.f64 ky))))))) (/.f64 ky (sin.f64 ky))))>
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#<alt th>
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#<alt (sin.f64 th)>
#<alt (sin.f64 th)>
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#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) th)>
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#<alt (exp.f64 (sin.f64 th))>
#<alt (exp.f64 (sin.f64 th))>
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#<alt (exp.f64 (sin.f64 th))>
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#<alt th>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))))) (pow.f64 ky #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 ky #s(literal 2 binary64)))) (*.f64 (sin.f64 ky) (sin.f64 th)))) ky))>
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#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) th) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) th)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 #s(literal -7/360 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))) th)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -7/360 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 #s(literal -31/15120 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))) th)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (sin.f64 kx)>
#<alt (+.f64 (sin.f64 kx) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 kx))))>
#<alt (+.f64 (sin.f64 kx) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))))>
#<alt (+.f64 (sin.f64 kx) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))))>
#<alt ky>
#<alt (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64))))))>
#<alt (*.f64 ky (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64)))))))>
#<alt (*.f64 ky (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 ky #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) ky)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 ky (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 ky (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 ky #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64)))))))))>
#<alt ky>
#<alt (+.f64 ky (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) ky)))>
#<alt (+.f64 ky (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 ky #s(literal 2 binary64)))))) ky)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) ky)))))>
#<alt (+.f64 ky (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 ky #s(literal 2 binary64))))) ky)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 ky #s(literal 2 binary64))))) (pow.f64 ky #s(literal 2 binary64)))))) ky)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) ky)))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))>
Calls

84 calls:

TimeVariablePointExpression
49.0ms
th
@inf
(/ (sin th) (sqrt (+ (* ky ky) (* (sin kx) (sin kx)))))
13.0ms
th
@inf
(* ky (/ (sin th) (sin ky)))
4.0ms
th
@0
(* ky (/ (sin th) (sin ky)))
2.0ms
kx
@0
(* (sin ky) (/ (sin th) (sqrt (+ (* ky ky) (* (sin kx) (sin kx))))))
2.0ms
ky
@inf
(* (sin ky) (/ (sin th) (sqrt (+ (* ky ky) (* (sin kx) (sin kx))))))

rewrite258.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
428×prod-diff
386×log1p-expm1-u
216×expm1-log1p-u
215×add-exp-log
214×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030336
1485310
26995310
Stop Event
1×node limit
Counts
13 → 412
Calls
Call 1
Inputs
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th))))
(neg.f64 (sin.f64 ky))
(*.f64 ky (/.f64 th kx))
(/.f64 th kx)
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
(+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th)))
(expm1.f64 (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th)))
(hypot.f64 ky (sin.f64 kx))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (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 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky)))
(/.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) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) #s(literal 2 binary64))
(neg.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 th) (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 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal -2 binary64))) (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sqrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (/.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))) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sin.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sin.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (sin.f64 th)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
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(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sqrt.f64 (sin.f64 th))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (sqrt.f64 (sin.f64 th))) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (sin.f64 th))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (cbrt.f64 (sin.f64 th))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (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))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 2 binary64))
(neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 ky (sin.f64 kx)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx)))
(*.f64 (hypot.f64 ky (sin.f64 kx)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) (pow.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sqrt.f64 (hypot.f64 ky (sin.f64 kx))) (sqrt.f64 (hypot.f64 ky (sin.f64 kx))))
(pow.f64 (hypot.f64 ky (sin.f64 kx)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 ky (sin.f64 kx)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 ky (sin.f64 kx)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 ky (sin.f64 kx)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 ky (sin.f64 kx))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 ky (sin.f64 kx)))))
(cbrt.f64 (pow.f64 (hypot.f64 ky (sin.f64 kx)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 ky (sin.f64 kx))))
(log1p.f64 (expm1.f64 (hypot.f64 ky (sin.f64 kx))))
(exp.f64 (log.f64 (hypot.f64 ky (sin.f64 kx))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 1 binary64)))

simplify509.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
947×times-frac
927×fma-define
692×distribute-lft-in
437×*-commutative
203×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0145333125
1381032437
Stop Event
1×node limit
Counts
724 → 809
Calls
Call 1
Inputs
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 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) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (*.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(sin.f64 th)
(+.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(+.f64 (sin.f64 th) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))))
(+.f64 (sin.f64 th) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (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) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 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) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.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))))))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(*.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 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 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 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 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 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 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))))
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ky
(+.f64 ky (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) ky)))
(+.f64 ky (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 ky #s(literal 2 binary64)))))) ky)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) ky)))))
(+.f64 ky (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 ky #s(literal 2 binary64))))) ky)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 ky #s(literal 2 binary64))))) (pow.f64 ky #s(literal 2 binary64)))))) ky)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) ky)))))
(sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
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(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))) #s(literal 1 binary64))
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(/.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
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(pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) #s(literal 3 binary64))
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(expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 th) (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 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(*.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal -2 binary64))))
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(*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sqrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (/.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))) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) #s(literal -1 binary64)))
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(*.f64 (pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sin.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sin.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (sin.f64 th)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sqrt.f64 (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 th)) (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)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 th)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (sin.f64 th))) (sqrt.f64 (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (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))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64))
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(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)))
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(expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #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)))
(exp.f64 (-.f64 (log.f64 (sin.f64 th)) (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(+.f64 #s(literal 0 binary64) (sin.f64 ky))
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(-.f64 (exp.f64 (log1p.f64 (sin.f64 ky))) #s(literal 1 binary64))
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(*.f64 (sin.f64 ky) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 ky))
(*.f64 #s(literal -1 binary64) (sin.f64 ky))
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(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (sin.f64 ky))))
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(*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 ky)))
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(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 ky))
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(pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 3 binary64))
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(sin.f64 ky)
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(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 ky (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sin.f64 th)) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sin.f64 th)) (neg.f64 (hypot.f64 ky (sin.f64 kx)))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sqrt.f64 (sin.f64 th)) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sqrt.f64 (sin.f64 th)) (*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx)))))
(*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sqrt.f64 (sin.f64 th)) (neg.f64 (hypot.f64 ky (sin.f64 kx)))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sin.f64 th) (cbrt.f64 (hypot.f64 ky (sin.f64 kx)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 ky (sin.f64 kx)))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 ky (sin.f64 kx)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 th)) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 ky (sin.f64 kx)))) (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 (hypot.f64 ky (sin.f64 kx)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 th)) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 (hypot.f64 ky (sin.f64 kx)))))
(pow.f64 (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)) #s(literal -1 binary64))
(neg.f64 (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (hypot.f64 ky (sin.f64 kx)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(-.f64 (exp.f64 (log1p.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 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) #s(literal 1 binary64)))
(*.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 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) (neg.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) (/.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (cbrt.f64 (sin.f64 th))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sqrt.f64 (sin.f64 th))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (sqrt.f64 (sin.f64 th))) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (sin.f64 th))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (cbrt.f64 (sin.f64 th))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (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))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 2 binary64))
(neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 ky (sin.f64 kx)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx)))
(*.f64 (hypot.f64 ky (sin.f64 kx)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) (pow.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sqrt.f64 (hypot.f64 ky (sin.f64 kx))) (sqrt.f64 (hypot.f64 ky (sin.f64 kx))))
(pow.f64 (hypot.f64 ky (sin.f64 kx)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 ky (sin.f64 kx)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 ky (sin.f64 kx)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 ky (sin.f64 kx)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 ky (sin.f64 kx))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 ky (sin.f64 kx)))))
(cbrt.f64 (pow.f64 (hypot.f64 ky (sin.f64 kx)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 ky (sin.f64 kx))))
(log1p.f64 (expm1.f64 (hypot.f64 ky (sin.f64 kx))))
(exp.f64 (log.f64 (hypot.f64 ky (sin.f64 kx))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
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th
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(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
#s(literal 1 binary64)
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(fma.f64 th (fma.f64 th #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
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(exp.f64 (sin.f64 th))
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(exp.f64 (sin.f64 th))
(exp.f64 (sin.f64 th))
(exp.f64 (sin.f64 th))
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(exp.f64 (sin.f64 th))
th
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(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
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(sin.f64 kx)
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ky
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ky
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(hypot.f64 ky (sin.f64 kx))
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(hypot.f64 ky (sin.f64 kx))
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(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (neg.f64 (sin.f64 th)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 1 binary64)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) (neg.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (neg.f64 (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) (/.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 1 binary64)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (neg.f64 (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (neg.f64 (sin.f64 th)))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (neg.f64 (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (cbrt.f64 (sin.f64 th))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sqrt.f64 (sin.f64 th))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (sqrt.f64 (sin.f64 th))) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (sin.f64 th))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (cbrt.f64 (sin.f64 th))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (neg.f64 (sin.f64 th)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (neg.f64 (sin.f64 th)))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 1 binary64))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #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) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 3 binary64))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 2 binary64))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (neg.f64 (sin.f64 th)))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 3 binary64)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(exp.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) #s(literal 1 binary64)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 ky (sin.f64 kx)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (hypot.f64 ky (sin.f64 kx))))
(*.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx)))
(hypot.f64 ky (sin.f64 kx))
(*.f64 (hypot.f64 ky (sin.f64 kx)) #s(literal 1 binary64))
(hypot.f64 ky (sin.f64 kx))
(*.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) (pow.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 2 binary64)))
(hypot.f64 ky (sin.f64 kx))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 ky (sin.f64 kx))))
(hypot.f64 ky (sin.f64 kx))
(*.f64 (sqrt.f64 (hypot.f64 ky (sin.f64 kx))) (sqrt.f64 (hypot.f64 ky (sin.f64 kx))))
(hypot.f64 ky (sin.f64 kx))
(pow.f64 (hypot.f64 ky (sin.f64 kx)) #s(literal 1 binary64))
(hypot.f64 ky (sin.f64 kx))
(pow.f64 (pow.f64 (hypot.f64 ky (sin.f64 kx)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(hypot.f64 ky (sin.f64 kx))
(pow.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 3 binary64))
(hypot.f64 ky (sin.f64 kx))
(pow.f64 (pow.f64 (hypot.f64 ky (sin.f64 kx)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 ky (sin.f64 kx))
(pow.f64 (sqrt.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 2 binary64))
(hypot.f64 ky (sin.f64 kx))
(sqrt.f64 (pow.f64 (hypot.f64 ky (sin.f64 kx)) #s(literal 2 binary64)))
(hypot.f64 ky (sin.f64 kx))
(log.f64 (exp.f64 (hypot.f64 ky (sin.f64 kx))))
(hypot.f64 ky (sin.f64 kx))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 ky (sin.f64 kx)))))
(hypot.f64 ky (sin.f64 kx))
(cbrt.f64 (pow.f64 (hypot.f64 ky (sin.f64 kx)) #s(literal 3 binary64)))
(hypot.f64 ky (sin.f64 kx))
(expm1.f64 (log1p.f64 (hypot.f64 ky (sin.f64 kx))))
(log1p.f64 (expm1.f64 (hypot.f64 ky (sin.f64 kx))))
(hypot.f64 ky (sin.f64 kx))
(exp.f64 (log.f64 (hypot.f64 ky (sin.f64 kx))))
(hypot.f64 ky (sin.f64 kx))
(exp.f64 (*.f64 (log.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 1 binary64)))
(hypot.f64 ky (sin.f64 kx))

eval165.0ms (1.3%)

Compiler

Compiled 24696 to 4141 computations (83.2% saved)

prune298.0ms (2.3%)

Pruning

82 alts after pruning (75 fresh and 7 done)

PrunedKeptTotal
New1139331172
Fresh234265
Picked325
Done055
Total1165821247
Accuracy
100.0%
Counts
1247 → 82
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.7%
(pow.f64 (/.f64 (/.f64 kx (sin.f64 ky)) (sin.f64 th)) #s(literal -1 binary64))
13.9%
(pow.f64 (cbrt.f64 (/.f64 (*.f64 ky th) kx)) #s(literal 3 binary64))
24.5%
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))) #s(literal 3 binary64))
33.5%
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
99.5%
(/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
96.8%
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
60.6%
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx))
41.2%
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
14.2%
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))) kx)
23.4%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
43.7%
(/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
21.1%
(/.f64 (*.f64 ky (sin.f64 th)) kx)
13.9%
(/.f64 (*.f64 ky th) kx)
✓99.7%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
50.3%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
30.5%
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
99.5%
(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
65.6%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (log.f64 (exp.f64 (sin.f64 th)))))
32.8%
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
13.0%
(/.f64 (neg.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64))) (pow.f64 (sin.f64 th) #s(literal 2 binary64)))
20.4%
(/.f64 (neg.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (sin.f64 th))
46.5%
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
16.0%
(/.f64 ky (/.f64 (sin.f64 ky) (sin.f64 th)))
16.4%
(/.f64 ky (/.f64 kx th))
23.4%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 ky (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
28.1%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 ky (sin.f64 th))))
15.3%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 ky th)))
13.9%
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky th)))
34.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
16.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
29.2%
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
15.7%
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (sin.f64 th))))
46.4%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
32.8%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
30.5%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
47.5%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (*.f64 (sin.f64 th) (sin.f64 ky)))
13.9%
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky th))
99.5%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) (sin.f64 ky))
9.6%
(*.f64 (sqrt.f64 (sin.f64 th)) (neg.f64 (sqrt.f64 (sin.f64 th))))
24.7%
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) kx)))
49.7%
(*.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) #s(literal 3 binary64)))
✓99.7%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
35.8%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 kx)))))))
47.2%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))
16.2%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
11.5%
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 th) kx))
✓32.8%
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
26.5%
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky (sin.f64 kx))))
21.7%
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky kx)))
33.9%
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th))))
33.9%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
46.3%
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 th))))
11.5%
(*.f64 (neg.f64 th) (/.f64 (sin.f64 ky) kx))
14.4%
(*.f64 ky (pow.f64 (pow.f64 (/.f64 th kx) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
65.3%
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
30.5%
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
31.3%
(*.f64 ky (/.f64 (sin.f64 th) ky))
23.6%
(*.f64 ky (/.f64 (sin.f64 th) kx))
17.7%
(*.f64 ky (/.f64 th (sin.f64 kx)))
✓16.4%
(*.f64 ky (/.f64 th kx))
16.4%
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 kx th)))
16.4%
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) th))
29.0%
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 th)))))
11.6%
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 th (sin.f64 ky)) kx))
✓34.0%
(sin.f64 th)
16.0%
(neg.f64 (sin.f64 th))
34.0%
(log1p.f64 (expm1.f64 (sin.f64 th)))
28.8%
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 th))) #s(literal 3 binary64)))
19.7%
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 th))))
29.0%
(log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 th))) #s(literal 1 binary64)))
13.9%
(log.f64 (+.f64 th #s(literal 1 binary64)))
29.0%
(log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 th))) #s(literal 3 binary64))))
21.9%
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 (expm1.f64 (sin.f64 th)))))
29.0%
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64)))))
✓29.2%
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
29.1%
(log.f64 (expm1.f64 (log1p.f64 (exp.f64 (sin.f64 th)))))
29.2%
(log.f64 (exp.f64 (sin.f64 th)))
19.7%
(log.f64 (exp.f64 (neg.f64 (sin.f64 th))))
12.2%
(log.f64 #s(literal 1 binary64))
23.6%
(exp.f64 (log.f64 (sin.f64 th)))
32.7%
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
✓16.7%
th
Compiler

Compiled 2076 to 963 computations (53.6% saved)

regimes415.0ms (3.2%)

Counts
130 → 1
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 ky th) kx)
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) th))
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 kx th)))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky th)))
(log.f64 #s(literal 1 binary64))
(sin.f64 th)
(neg.f64 (sin.f64 th))
(log.f64 (+.f64 th #s(literal 1 binary64)))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 ky (/.f64 (sin.f64 th) ky))
(*.f64 th (/.f64 (sin.f64 ky) kx))
(*.f64 (sin.f64 ky) (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) th) kx)
(*.f64 (neg.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 th) kx))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 th (sin.f64 ky)) kx))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 ky th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 ky (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky kx)))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 ky th) kx)) #s(literal 3 binary64))
(*.f64 ky (pow.f64 (pow.f64 (/.f64 th kx) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) kx)))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 ky (sin.f64 th))))
(*.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) kx)))))
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))) kx)
(exp.f64 (log.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(log.f64 (exp.f64 (neg.f64 (sin.f64 th))))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 th))) #s(literal 1 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 (neg.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (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 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky kx)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th))
(pow.f64 (/.f64 (/.f64 kx (sin.f64 ky)) (sin.f64 th)) #s(literal -1 binary64))
(*.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 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx)) th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 ky (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) ky))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) #s(literal -1/6 binary64)))) kx)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) th)))
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 (expm1.f64 (sin.f64 th)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 th)))))
(*.f64 (sqrt.f64 (sin.f64 th)) (neg.f64 (sqrt.f64 (sin.f64 th))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (sin.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 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(/.f64 ky (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64))) (pow.f64 (sin.f64 th) #s(literal 2 binary64)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky))
(/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 th))))
(log.f64 (expm1.f64 (log1p.f64 (exp.f64 (sin.f64 th)))))
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 th))) #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 th))) #s(literal 3 binary64))))
(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (expm1.f64 (log1p.f64 (sin.f64 ky)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (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 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) (sin.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 th)))))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) (sin.f64 ky)))))
(*.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) #s(literal 3 binary64)))
(*.f64 (sin.f64 ky) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 kx)))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (log.f64 (exp.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (log.f64 (exp.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)) (log.f64 (exp.f64 (sin.f64 th)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)) (sin.f64 th))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 3 binary64))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
Outputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
Calls

9 calls:

47.0ms
th
40.0ms
ky
39.0ms
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
36.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
36.0ms
kx
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)

regimes199.0ms (1.5%)

Counts
106 → 1
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 ky th) kx)
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) th))
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 kx th)))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky th)))
(log.f64 #s(literal 1 binary64))
(sin.f64 th)
(neg.f64 (sin.f64 th))
(log.f64 (+.f64 th #s(literal 1 binary64)))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 ky (/.f64 (sin.f64 th) ky))
(*.f64 th (/.f64 (sin.f64 ky) kx))
(*.f64 (sin.f64 ky) (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) th) kx)
(*.f64 (neg.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 th) kx))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 th (sin.f64 ky)) kx))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 ky th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 ky (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky kx)))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 ky th) kx)) #s(literal 3 binary64))
(*.f64 ky (pow.f64 (pow.f64 (/.f64 th kx) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) kx)))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 ky (sin.f64 th))))
(*.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) kx)))))
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))) kx)
(exp.f64 (log.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(log.f64 (exp.f64 (neg.f64 (sin.f64 th))))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 th))) #s(literal 1 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 (neg.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (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 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky kx)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th))
(pow.f64 (/.f64 (/.f64 kx (sin.f64 ky)) (sin.f64 th)) #s(literal -1 binary64))
(*.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 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx)) th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 ky (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) ky))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) #s(literal -1/6 binary64)))) kx)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) th)))
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 (expm1.f64 (sin.f64 th)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 th)))))
(*.f64 (sqrt.f64 (sin.f64 th)) (neg.f64 (sqrt.f64 (sin.f64 th))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (sin.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 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(/.f64 ky (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64))) (pow.f64 (sin.f64 th) #s(literal 2 binary64)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky))
(/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 th))))
(log.f64 (expm1.f64 (log1p.f64 (exp.f64 (sin.f64 th)))))
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 th))) #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 th))) #s(literal 3 binary64))))
(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (expm1.f64 (log1p.f64 (sin.f64 ky)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (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 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
Calls

6 calls:

34.0ms
th
33.0ms
(sin.f64 kx)
32.0ms
kx
30.0ms
(sin.f64 ky)
30.0ms
(sin.f64 th)
Results
AccuracySegmentsBranch
99.7%1kx
99.7%1ky
99.7%1th
99.7%1(sin.f64 ky)
99.7%1(sin.f64 kx)
99.7%1(sin.f64 th)
Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes267.0ms (2%)

Counts
104 → 1
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 ky th) kx)
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) th))
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 kx th)))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky th)))
(log.f64 #s(literal 1 binary64))
(sin.f64 th)
(neg.f64 (sin.f64 th))
(log.f64 (+.f64 th #s(literal 1 binary64)))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 ky (/.f64 (sin.f64 th) ky))
(*.f64 th (/.f64 (sin.f64 ky) kx))
(*.f64 (sin.f64 ky) (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) th) kx)
(*.f64 (neg.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 th) kx))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 th (sin.f64 ky)) kx))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 ky th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 ky (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky kx)))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 ky th) kx)) #s(literal 3 binary64))
(*.f64 ky (pow.f64 (pow.f64 (/.f64 th kx) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) kx)))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 ky (sin.f64 th))))
(*.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) kx)))))
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))) kx)
(exp.f64 (log.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(log.f64 (exp.f64 (neg.f64 (sin.f64 th))))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 th))) #s(literal 1 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 (neg.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (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 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky kx)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th))
(pow.f64 (/.f64 (/.f64 kx (sin.f64 ky)) (sin.f64 th)) #s(literal -1 binary64))
(*.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 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx)) th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 ky (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) ky))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) #s(literal -1/6 binary64)))) kx)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) th)))
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 (expm1.f64 (sin.f64 th)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 th)))))
(*.f64 (sqrt.f64 (sin.f64 th)) (neg.f64 (sqrt.f64 (sin.f64 th))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (sin.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 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(/.f64 ky (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64))) (pow.f64 (sin.f64 th) #s(literal 2 binary64)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky))
(/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 th))))
(log.f64 (expm1.f64 (log1p.f64 (exp.f64 (sin.f64 th)))))
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 th))) #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 th))) #s(literal 3 binary64))))
(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (expm1.f64 (log1p.f64 (sin.f64 ky)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (sin.f64 th))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
Outputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
Calls

6 calls:

97.0ms
(sin.f64 th)
48.0ms
(sin.f64 kx)
29.0ms
th
28.0ms
ky
28.0ms
kx
Results
AccuracySegmentsBranch
99.7%1kx
99.7%1ky
99.7%1th
99.7%1(sin.f64 ky)
99.7%1(sin.f64 kx)
99.7%1(sin.f64 th)
Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes246.0ms (1.9%)

Counts
103 → 2
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 ky th) kx)
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) th))
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 kx th)))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky th)))
(log.f64 #s(literal 1 binary64))
(sin.f64 th)
(neg.f64 (sin.f64 th))
(log.f64 (+.f64 th #s(literal 1 binary64)))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 ky (/.f64 (sin.f64 th) ky))
(*.f64 th (/.f64 (sin.f64 ky) kx))
(*.f64 (sin.f64 ky) (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) th) kx)
(*.f64 (neg.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 th) kx))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 th (sin.f64 ky)) kx))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 ky th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 ky (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky kx)))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 ky th) kx)) #s(literal 3 binary64))
(*.f64 ky (pow.f64 (pow.f64 (/.f64 th kx) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) kx)))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 ky (sin.f64 th))))
(*.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) kx)))))
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))) kx)
(exp.f64 (log.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(log.f64 (exp.f64 (neg.f64 (sin.f64 th))))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 th))) #s(literal 1 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 (neg.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (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 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky kx)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th))
(pow.f64 (/.f64 (/.f64 kx (sin.f64 ky)) (sin.f64 th)) #s(literal -1 binary64))
(*.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 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx)) th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 ky (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) ky))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) #s(literal -1/6 binary64)))) kx)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) th)))
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 (expm1.f64 (sin.f64 th)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 th)))))
(*.f64 (sqrt.f64 (sin.f64 th)) (neg.f64 (sqrt.f64 (sin.f64 th))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (sin.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 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(/.f64 ky (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64))) (pow.f64 (sin.f64 th) #s(literal 2 binary64)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky))
(/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 th))))
(log.f64 (expm1.f64 (log1p.f64 (exp.f64 (sin.f64 th)))))
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 th))) #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 th))) #s(literal 3 binary64))))
(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (expm1.f64 (log1p.f64 (sin.f64 ky)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (sin.f64 th))))
Outputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))
Calls

6 calls:

95.0ms
(sin.f64 ky)
30.0ms
ky
28.0ms
(sin.f64 kx)
28.0ms
kx
28.0ms
(sin.f64 th)
Results
AccuracySegmentsBranch
78.9%2kx
81.3%2ky
80.3%2th
81.3%3(sin.f64 ky)
82.2%4(sin.f64 kx)
82.2%4(sin.f64 th)
Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes33.0ms (0.3%)

Counts
82 → 2
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 ky th) kx)
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) th))
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 kx th)))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky th)))
(log.f64 #s(literal 1 binary64))
(sin.f64 th)
(neg.f64 (sin.f64 th))
(log.f64 (+.f64 th #s(literal 1 binary64)))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 ky (/.f64 (sin.f64 th) ky))
(*.f64 th (/.f64 (sin.f64 ky) kx))
(*.f64 (sin.f64 ky) (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) th) kx)
(*.f64 (neg.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 th) kx))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 th (sin.f64 ky)) kx))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 ky th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 ky (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky kx)))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 ky th) kx)) #s(literal 3 binary64))
(*.f64 ky (pow.f64 (pow.f64 (/.f64 th kx) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) kx)))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 ky (sin.f64 th))))
(*.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) kx)))))
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))) kx)
(exp.f64 (log.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(log.f64 (exp.f64 (neg.f64 (sin.f64 th))))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 th))) #s(literal 1 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 (neg.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (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 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky kx)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th))
(pow.f64 (/.f64 (/.f64 kx (sin.f64 ky)) (sin.f64 th)) #s(literal -1 binary64))
(*.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 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx)) th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 ky (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) ky))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) #s(literal -1/6 binary64)))) kx)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) th)))
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 (expm1.f64 (sin.f64 th)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 th)))))
(*.f64 (sqrt.f64 (sin.f64 th)) (neg.f64 (sqrt.f64 (sin.f64 th))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
Outputs
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))
Calls

1 calls:

26.0ms
ky
Results
AccuracySegmentsBranch
81.1%2ky
Compiler

Compiled 4 to 3 computations (25% saved)

regimes77.0ms (0.6%)

Counts
79 → 3
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 ky th) kx)
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) th))
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 kx th)))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky th)))
(log.f64 #s(literal 1 binary64))
(sin.f64 th)
(neg.f64 (sin.f64 th))
(log.f64 (+.f64 th #s(literal 1 binary64)))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 ky (/.f64 (sin.f64 th) ky))
(*.f64 th (/.f64 (sin.f64 ky) kx))
(*.f64 (sin.f64 ky) (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) th) kx)
(*.f64 (neg.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 th) kx))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 th (sin.f64 ky)) kx))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 ky th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 ky (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky kx)))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 ky th) kx)) #s(literal 3 binary64))
(*.f64 ky (pow.f64 (pow.f64 (/.f64 th kx) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) kx)))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 ky (sin.f64 th))))
(*.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) kx)))))
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))) kx)
(exp.f64 (log.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(log.f64 (exp.f64 (neg.f64 (sin.f64 th))))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 th))) #s(literal 1 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 (neg.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (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 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky kx)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th))
(pow.f64 (/.f64 (/.f64 kx (sin.f64 ky)) (sin.f64 th)) #s(literal -1 binary64))
(*.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 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx)) th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 ky (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) ky))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) #s(literal -1/6 binary64)))) kx)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) th)))
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 (expm1.f64 (sin.f64 th)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 th)))))
(*.f64 (sqrt.f64 (sin.f64 th)) (neg.f64 (sqrt.f64 (sin.f64 th))))
Outputs
(neg.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(sin.f64 th)
Calls

3 calls:

25.0ms
(sin.f64 ky)
24.0ms
ky
22.0ms
th
Results
AccuracySegmentsBranch
81.1%3(sin.f64 ky)
67.9%2th
69.4%2ky
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes248.0ms (1.9%)

Counts
63 → 3
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 ky th) kx)
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) th))
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 kx th)))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky th)))
(log.f64 #s(literal 1 binary64))
(sin.f64 th)
(neg.f64 (sin.f64 th))
(log.f64 (+.f64 th #s(literal 1 binary64)))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 ky (/.f64 (sin.f64 th) ky))
(*.f64 th (/.f64 (sin.f64 ky) kx))
(*.f64 (sin.f64 ky) (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) th) kx)
(*.f64 (neg.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 th) kx))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 th (sin.f64 ky)) kx))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 ky th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 ky (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky kx)))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 ky th) kx)) #s(literal 3 binary64))
(*.f64 ky (pow.f64 (pow.f64 (/.f64 th kx) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) kx)))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 ky (sin.f64 th))))
(*.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) kx)))))
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))) kx)
(exp.f64 (log.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(log.f64 (exp.f64 (neg.f64 (sin.f64 th))))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 th))) #s(literal 1 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 (neg.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
Outputs
(neg.f64 (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
Calls

6 calls:

136.0ms
(sin.f64 th)
25.0ms
th
25.0ms
kx
19.0ms
(sin.f64 kx)
18.0ms
ky
Results
AccuracySegmentsBranch
46.1%3th
53.5%2ky
49.1%2kx
45.4%3(sin.f64 th)
50.5%2(sin.f64 kx)
66.8%3(sin.f64 ky)
Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes27.0ms (0.2%)

Counts
62 → 3
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 ky th) kx)
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) th))
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 kx th)))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky th)))
(log.f64 #s(literal 1 binary64))
(sin.f64 th)
(neg.f64 (sin.f64 th))
(log.f64 (+.f64 th #s(literal 1 binary64)))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 ky (/.f64 (sin.f64 th) ky))
(*.f64 th (/.f64 (sin.f64 ky) kx))
(*.f64 (sin.f64 ky) (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) th) kx)
(*.f64 (neg.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 th) kx))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 th (sin.f64 ky)) kx))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 ky th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 ky (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky kx)))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 ky th) kx)) #s(literal 3 binary64))
(*.f64 ky (pow.f64 (pow.f64 (/.f64 th kx) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) kx)))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 ky (sin.f64 th))))
(*.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) kx)))))
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))) kx)
(exp.f64 (log.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(log.f64 (exp.f64 (neg.f64 (sin.f64 th))))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 th))) #s(literal 1 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 (neg.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
Outputs
(neg.f64 (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(sin.f64 th)
Calls

1 calls:

22.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
66.5%3(sin.f64 ky)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes22.0ms (0.2%)

Counts
59 → 3
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 ky th) kx)
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) th))
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 kx th)))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky th)))
(log.f64 #s(literal 1 binary64))
(sin.f64 th)
(neg.f64 (sin.f64 th))
(log.f64 (+.f64 th #s(literal 1 binary64)))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 ky (/.f64 (sin.f64 th) ky))
(*.f64 th (/.f64 (sin.f64 ky) kx))
(*.f64 (sin.f64 ky) (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) th) kx)
(*.f64 (neg.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 th) kx))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 th (sin.f64 ky)) kx))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 ky th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 ky (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky kx)))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 ky th) kx)) #s(literal 3 binary64))
(*.f64 ky (pow.f64 (pow.f64 (/.f64 th kx) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) kx)))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 ky (sin.f64 th))))
(*.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) kx)))))
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))) kx)
(exp.f64 (log.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(log.f64 (exp.f64 (neg.f64 (sin.f64 th))))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 th))) #s(literal 1 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
Outputs
(neg.f64 (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(sin.f64 th)
Calls

1 calls:

17.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
66.5%3(sin.f64 ky)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes20.0ms (0.2%)

Counts
57 → 3
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 ky th) kx)
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) th))
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 kx th)))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky th)))
(log.f64 #s(literal 1 binary64))
(sin.f64 th)
(neg.f64 (sin.f64 th))
(log.f64 (+.f64 th #s(literal 1 binary64)))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 ky (/.f64 (sin.f64 th) ky))
(*.f64 th (/.f64 (sin.f64 ky) kx))
(*.f64 (sin.f64 ky) (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) th) kx)
(*.f64 (neg.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 th) kx))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 th (sin.f64 ky)) kx))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 ky th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 ky (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 ky kx)))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 ky th) kx)) #s(literal 3 binary64))
(*.f64 ky (pow.f64 (pow.f64 (/.f64 th kx) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) kx)))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 ky (sin.f64 th))))
(*.f64 (sin.f64 ky) (/.f64 th (+.f64 kx (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) kx)))))
(/.f64 (*.f64 (sin.f64 ky) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))) kx)
(exp.f64 (log.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(log.f64 (exp.f64 (neg.f64 (sin.f64 th))))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 th))) #s(literal 1 binary64)))
Outputs
(neg.f64 (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(sin.f64 th)
Calls

1 calls:

17.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
66.4%3(sin.f64 ky)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes18.0ms (0.1%)

Counts
32 → 3
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 ky th) kx)
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) th))
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 kx th)))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky th)))
(log.f64 #s(literal 1 binary64))
(sin.f64 th)
(neg.f64 (sin.f64 th))
(log.f64 (+.f64 th #s(literal 1 binary64)))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 ky (/.f64 (sin.f64 th) ky))
(*.f64 th (/.f64 (sin.f64 ky) kx))
(*.f64 (sin.f64 ky) (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) th) kx)
(*.f64 (neg.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 th) kx))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 th (sin.f64 ky)) kx))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 ky th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
Outputs
(neg.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(sin.f64 th)
Calls

1 calls:

16.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
66.4%3(sin.f64 ky)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes10.0ms (0.1%)

Counts
27 → 3
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 ky th) kx)
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) th))
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 kx th)))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky th)))
(log.f64 #s(literal 1 binary64))
(sin.f64 th)
(neg.f64 (sin.f64 th))
(log.f64 (+.f64 th #s(literal 1 binary64)))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 ky (/.f64 (sin.f64 th) ky))
(*.f64 th (/.f64 (sin.f64 ky) kx))
(*.f64 (sin.f64 ky) (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) th) kx)
(*.f64 (neg.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 th) kx))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 th (sin.f64 ky)) kx))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 ky th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(fabs.f64 (sin.f64 th))
Outputs
(neg.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(sin.f64 th)
Calls

1 calls:

9.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
61.7%3(sin.f64 ky)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes25.0ms (0.2%)

Counts
14 → 2
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 ky th) kx)
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) th))
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 kx th)))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky th)))
(log.f64 #s(literal 1 binary64))
(sin.f64 th)
(neg.f64 (sin.f64 th))
(log.f64 (+.f64 th #s(literal 1 binary64)))
(*.f64 ky (/.f64 th (sin.f64 kx)))
Outputs
(*.f64 ky (/.f64 th kx))
(sin.f64 th)
Calls

5 calls:

5.0ms
kx
5.0ms
(sin.f64 th)
5.0ms
(sin.f64 kx)
5.0ms
ky
5.0ms
th
Results
AccuracySegmentsBranch
38.4%3(sin.f64 th)
38.3%2th
38.6%2kx
39.2%3(sin.f64 kx)
42.3%2ky
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes12.0ms (0.1%)

Counts
10 → 2
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 ky th) kx)
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) kx) th))
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 kx th)))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky th)))
(log.f64 #s(literal 1 binary64))
Outputs
(*.f64 ky (/.f64 th kx))
th
Calls

3 calls:

4.0ms
ky
4.0ms
kx
4.0ms
th
Results
AccuracySegmentsBranch
21.0%2th
22.9%2kx
27.4%2ky
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

2.0ms
ky
1.0ms
kx
1.0ms
th
Results
AccuracySegmentsBranch
16.7%1th
16.7%1kx
16.7%1ky
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch13.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
7.923375330233195e-5
0.00011404300179251148
Results
9.0ms64×0valid
Compiler

Compiled 133 to 94 computations (29.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sin: 3.0ms (46.1% of total)
ival-pow: 1.0ms (15.4% of total)
ival-div: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch71.0ms (0.5%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
68.0ms
0.30950176386516004
39033.4637727358
Results
64.0ms144×0valid
Compiler

Compiled 259 to 180 computations (30.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-sin: 51.0ms (87% of total)
ival-pow: 3.0ms (5.1% of total)
ival-div: 1.0ms (1.7% of total)
ival-add: 1.0ms (1.7% of total)
ival-mult: 1.0ms (1.7% of total)
ival-sqrt: 1.0ms (1.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch2.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
7.92337532194272e-5
0.00011404300154530795
0.0ms
-0.01680839642450432
1.564208797235682e-308
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
4.76377285132076e-97
1.8676551511767659e-94
0.0ms
-0.02345934489205645
-0.01680839642450432
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.9252358832083983e-89
2.5293052634522584e-84
0.0ms
-0.02345934489205645
-0.01680839642450432
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.9252358832083983e-89
2.5293052634522584e-84
0.0ms
-0.02345934489205645
-0.01680839642450432
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.9252358832083983e-89
2.5293052634522584e-84
0.0ms
-0.01680839642450432
1.564208797235682e-308
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.9252358832083983e-89
2.5293052634522584e-84
0.0ms
-0.01680839642450432
1.564208797235682e-308
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.9252358832083983e-89
2.5293052634522584e-84
0.0ms
-0.01680839642450432
1.564208797235682e-308
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch21.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
2.114685935227749e-183
6.998984876426448e-182
Results
15.0ms112×0valid
Compiler

Compiled 130 to 95 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sin: 6.0ms (53.3% of total)
ival-pow: 3.0ms (26.6% of total)
ival-div: 1.0ms (8.9% of total)
ival-add: 1.0ms (8.9% of total)
ival-mult: 1.0ms (8.9% of total)
ival-sqrt: 1.0ms (8.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch220.0ms (1.7%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
218.0ms
2.9252358832083983e-89
2.5293052634522584e-84
Results
212.0ms144×0valid
Compiler

Compiled 151 to 108 computations (28.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sin: 7.0ms (49.9% of total)
ival-pow: 3.0ms (21.4% of total)
ival-div: 1.0ms (7.1% of total)
ival-add: 1.0ms (7.1% of total)
ival-mult: 1.0ms (7.1% of total)
ival-sqrt: 1.0ms (7.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify14.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
13×*-commutative
1×sub-neg
1×neg-sub0
1×neg-mul-1
1×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0801024
1961024
2981024
3991024
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 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 ky #s(literal 8264141345021879/73786976294838206464 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky)))))
(if (<=.f64 ky #s(literal 5404319552844595/2251799813685248 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky)))))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/576460752303423488 binary64)) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 7378697629483821/73786976294838206464 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/288230376151711744 binary64)) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 2404907604760405/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/288230376151711744 binary64)) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 7167183174968973/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/288230376151711744 binary64)) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 7167183174968973/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/576460752303423488 binary64)) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 7167183174968973/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/576460752303423488 binary64)) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 7167183174968973/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/576460752303423488 binary64)) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 7167183174968973/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (*.f64 ky (/.f64 (sin.f64 th) kx)) (sin.f64 th)))
(if (<=.f64 ky #s(literal 7475102707912205/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968 binary64)) (*.f64 ky (/.f64 th kx)) (sin.f64 th))
(if (<=.f64 ky #s(literal 5160371885977661/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) (*.f64 ky (/.f64 th kx)) 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 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 ky #s(literal 8264141345021879/73786976294838206464 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky)))))
(if (<=.f64 ky #s(literal 5404319552844595/2251799813685248 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky)))))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/576460752303423488 binary64)) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 7378697629483821/73786976294838206464 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/288230376151711744 binary64)) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 2404907604760405/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/288230376151711744 binary64)) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 2404907604760405/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/288230376151711744 binary64)) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 7167183174968973/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/288230376151711744 binary64)) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 7167183174968973/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/288230376151711744 binary64)) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 7167183174968973/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/576460752303423488 binary64)) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 7167183174968973/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/576460752303423488 binary64)) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 7167183174968973/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/576460752303423488 binary64)) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 7167183174968973/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/576460752303423488 binary64)) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 7167183174968973/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (*.f64 ky (/.f64 (sin.f64 th) kx)) (sin.f64 th)))
(if (<=.f64 ky #s(literal 7475102707912205/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968 binary64)) (*.f64 ky (/.f64 th kx)) (sin.f64 th))
(if (<=.f64 ky #s(literal 5160371885977661/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) (*.f64 ky (/.f64 th kx)) th)
th

soundness2.2s (16.8%)

Rules
970×log1p-expm1-u
968×fma-define
952×fma-define
947×times-frac
927×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053717
1111529
2240529
3420529
4940529
52219529
63233529
73758529
84126529
94217529
104256529
114256529
0145333125
1381032437
030336
1485310
26995310
084024259
1212222959
2717322959
023256
1341256
23880256
0122631577
1352131035
0135341209
1378739718
025341
1395341
25423341
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×saturated
Compiler

Compiled 925 to 282 computations (69.5% saved)

preprocess96.0ms (0.7%)

Remove

(negabs th)

(negabs ky)

(abs kx)

Compiler

Compiled 908 to 382 computations (57.9% saved)

end0.0ms (0%)

Profiling

Loading profile data...