Toniolo and Linder, Equation (3b), real

Time bar (total: 14.0s)

analyze247.0ms (1.8%)

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

Compiled 20 to 15 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 131.0ms
ival-sin: 43.0ms (32.9% of total)
ival-pow: 39.0ms (29.8% of total)
ival-mult: 23.0ms (17.6% of total)
ival-sqrt: 11.0ms (8.4% of total)
ival-add: 7.0ms (5.4% of total)
ival-div: 6.0ms (4.6% of total)
const: 2.0ms (1.5% of total)
backward-pass: 1.0ms (0.8% of total)

sample1.7s (12.4%)

Results
1.4s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-sin: 678.0ms (61% of total)
ival-pow: 179.0ms (16.1% of total)
ival-sqrt: 69.0ms (6.2% of total)
ival-mult: 66.0ms (5.9% of total)
ival-div: 61.0ms (5.5% of total)
ival-add: 39.0ms (3.5% of total)
const: 16.0ms (1.4% of total)
backward-pass: 4.0ms (0.4% of total)
Bogosity

preprocess178.0ms (1.3%)

Algorithm
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
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)

explain504.0ms (3.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
130-1(3.8341531258325083e-160 3.2023131328135737e-181 3.577607035070086e-60)(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
049(4.256681448255965e-28 7.650425166676485 5.617489036383951e+34)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)))
059(2.1671767043042424e+169 5.927989306926984e-65 2.807465690885673e+277)0-(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
Results
428.0ms512×0valid
Compiler

Compiled 159 to 90 computations (43.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 164.0ms
ival-pow: 91.0ms (55.5% of total)
ival-sin: 35.0ms (21.3% of total)
ival-sqrt: 11.0ms (6.7% of total)
ival-add: 9.0ms (5.5% of total)
ival-mult: 9.0ms (5.5% of total)
ival-div: 6.0ms (3.7% of total)
const: 3.0ms (1.8% 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
94.9%
(*.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))
99.5%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
Compiler

Compiled 33 to 23 computations (30.3% saved)

localize161.0ms (1.1%)

Algorithm
egg-herbie
Localize:

Found 16 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))))
accuracy99.7%
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
accuracy99.7%
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
accuracy99.6%
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
accuracy95.2%
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
accuracy100.0%
(sin.f64 kx)
accuracy99.9%
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
accuracy99.6%
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
accuracy99.5%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
Rules
*-commutative
*-commutative
hypot-define
unpow2
fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016138
123138
228138
332138
433138
020248
126200
235200
336200
Stop Event
saturated
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 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sin.f64 ky)
ky
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin.f64 kx)
kx
#s(literal 2 binary64)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin.f64 th)
th
Outputs
(*.f64 (/.f64 (sin.f64 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) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (*.f64 (sin.f64 ky) (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
Call 2
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
Outputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (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
Results
96.0ms256×0valid
Compiler

Compiled 103 to 41 computations (60.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-sin: 24.0ms (33.6% of total)
ival-pow: 24.0ms (33.6% of total)
ival-div: 5.0ms (7% of total)
ival-sqrt: 5.0ms (7% of total)
ival-add: 4.0ms (5.6% of total)
ival-hypot: 4.0ms (5.6% of total)
ival-mult: 3.0ms (4.2% of total)
const: 2.0ms (2.8% of total)
backward-pass: 0.0ms (0% of total)

series57.0ms (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 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))>
#<alt (hypot.f64 (sin.f64 ky) (sin.f64 kx))>
#<alt (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))))>
#<alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64))>
#<alt (pow.f64 (sin.f64 kx) #s(literal 2 binary64))>
#<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 (sin.f64 ky)>
#<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))>
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))))>
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#<alt (sin.f64 th)>
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#<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)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 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 #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 ky>
#<alt (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))>
#<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)))))>
#<alt (*.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)))))>
#<alt th>
#<alt (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))>
#<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)))))>
#<alt (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
#<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))))))>
Calls

60 calls:

TimeVariablePointExpression
5.0ms
kx
@0
(/ (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
th
@inf
(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
3.0ms
kx
@inf
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.0ms
ky
@inf
(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))

rewrite298.0ms (2.1%)

Algorithm
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
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))))
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sin.f64 ky)
(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))
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 (/.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 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)))
(*.f64 (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 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)))
(fabs.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(/.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)))

simplify289.0ms (2.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
084024259
1212222959
2716322959
Stop Event
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))))))
(*.f64 th (sqrt.f64 (/.f64 #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))))))))))))
(*.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 th) (sqrt.f64 (/.f64 #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 th) (sqrt.f64 (/.f64 #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 th) (sqrt.f64 (/.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 ky))
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(sin.f64 kx)
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(sin.f64 ky)
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kx
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(sin.f64 ky)
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(sin.f64 kx)
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(pow.f64 ky #s(literal 2 binary64))
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(/.f64 ky (sin.f64 kx))
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(*.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))))
(*.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))))))
(*.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))))))
(*.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))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(+.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)))))))
(+.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)))))))
(*.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))))))
(*.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))))))
(*.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))))))
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)))))
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)))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(/.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))))))))
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(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)))
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 (+.f64 (+.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 -1/2 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 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 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))))))))))
(*.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (*.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) (sin.f64 ky)) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))))) (*.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)))))))
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(*.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 (sin.f64 ky) (sqrt.f64 (/.f64 #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) (pow.f64 (hypot.f64 (sin.f64 kx) (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) (pow.f64 (hypot.f64 (sin.f64 kx) (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) (pow.f64 (hypot.f64 (sin.f64 kx) (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) (pow.f64 (hypot.f64 (sin.f64 kx) (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) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.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)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.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)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
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(*.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)))))
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(*.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)))))
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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) (pow.f64 (hypot.f64 (sin.f64 kx) (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) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 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))))))
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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)) #s(literal -1/6 binary64))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal 1 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)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 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 ky (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
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 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.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 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.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))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(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) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(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))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 2 binary64))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(sqrt.f64 (pow.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 kx) (sin.f64 ky)))) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(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)))))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(cbrt.f64 (pow.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) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(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))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(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))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(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))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(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))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(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 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))

eval160.0ms (1.1%)

Compiler

Compiled 14089 to 7298 computations (48.2% saved)

prune133.0ms (0.9%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New55518573
Fresh000
Picked112
Done000
Total55619575
Accuracy
100.0%
Counts
575 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
27.5%
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
99.6%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
99.5%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
97.8%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
99.6%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
28.9%
(*.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))
46.5%
(*.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))))))
99.3%
(*.f64 (sin.f64 ky) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal -1 binary64)))
99.5%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
54.8%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
52.4%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
30.1%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
31.5%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
81.3%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
48.9%
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
28.9%
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
30.2%
(sin.f64 th)
Compiler

Compiled 486 to 329 computations (32.3% saved)

localize159.0ms (1.1%)

Algorithm
egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
cost-diff0
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
cost-diff0
(/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
cost-diff128
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (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 kx))
cost-diff0
(sin.f64 ky)
cost-diff0
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
cost-diff0
(sin.f64 th)
cost-diff0
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
cost-diff0
(sin.f64 ky)
cost-diff0
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
cost-diff0
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
accuracy99.9%
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
accuracy99.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 th))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
accuracy100.0%
(sin.f64 ky)
accuracy100.0%
(sin.f64 th)
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 kx)
accuracy99.7%
(/.f64 (sin.f64 th) (sin.f64 kx))
accuracy99.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
accuracy100.0%
(sin.f64 th)
accuracy100.0%
(sin.f64 kx)
accuracy99.9%
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
accuracy99.8%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
accuracy99.7%
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
Rules
12×associate-*r*
associate-*l*
associate-*l/
*-commutative
*-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016138
123138
230138
333138
0612
01591
11891
22091
32291
42391
015118
122118
227118
331118
432118
018178
133166
253166
384166
491166
Stop Event
saturated
saturated
saturated
saturated
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
#s(literal 1 binary64)
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 ky)
ky
(sin.f64 kx)
kx
(sin.f64 th)
th
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sin.f64 ky) (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))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
#s(literal 1 binary64)
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 ky)
ky
(sin.f64 kx)
kx
(sin.f64 th)
th
Call 2
Inputs
(*.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
Outputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(/.f64 (*.f64 (sin.f64 ky) (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
Call 3
Inputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(sin.f64 ky)
ky
(/.f64 (sin.f64 th) (sin.f64 kx))
(sin.f64 th)
th
(sin.f64 kx)
kx
Outputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))
(sin.f64 ky)
ky
(/.f64 (sin.f64 th) (sin.f64 kx))
(sin.f64 th)
th
(sin.f64 kx)
kx
Call 4
Inputs
(sin.f64 th)
th
Outputs
(sin.f64 th)
th
Call 5
Inputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin.f64 ky)
ky
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
kx
(sin.f64 th)
th
Outputs
(*.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 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin.f64 ky)
ky
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
kx
(sin.f64 th)
th
Results
83.0ms256×0valid
Compiler

Compiled 135 to 25 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-sin: 18.0ms (37.4% of total)
ival-mult: 12.0ms (24.9% of total)
ival-div: 9.0ms (18.7% of total)
ival-hypot: 8.0ms (16.6% of total)
const: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

series63.0ms (0.5%)

Counts
9 → 260
Calls
Call 1
Inputs
#<alt (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))>
#<alt (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))>
#<alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))>
#<alt (/.f64 (sin.f64 th) (sin.f64 kx))>
#<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 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))>
#<alt (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))>
#<alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 th))>
Outputs
#<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))))>
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#<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 (/.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)>
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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 (*.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 (*.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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#<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))))))>
Calls

69 calls:

TimeVariablePointExpression
5.0ms
kx
@0
(/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
5.0ms
th
@-inf
(/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* kx kx))))
3.0ms
ky
@0
(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* kx kx)))))
1.0ms
ky
@inf
(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* kx kx)))))
1.0ms
kx
@inf
(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* kx kx)))))

rewrite200.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1042×log1p-expm1-u
838×expm1-log1p-u
256×prod-diff
151×add-exp-log
151×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025317
1377317
24464317
Stop Event
node limit
Counts
9 → 268
Calls
Call 1
Inputs
(/.f64 (sin.f64 ky) (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) (sin.f64 kx)))
(/.f64 (sin.f64 th) (sin.f64 kx))
(*.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 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 th))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 1 binary64))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sin.f64 ky)) (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 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 ky)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1/2 binary64)) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1/2 binary64)) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (neg.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 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #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 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (*.f64 (sin.f64 ky) (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (*.f64 (sin.f64 ky) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1/2 binary64))) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 ky)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (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) (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 ky)) #s(literal -1 binary64))
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
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(pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)) #s(literal -1 binary64))
(neg.f64 (/.f64 (sin.f64 th) (neg.f64 (hypot.f64 (sin.f64 ky) kx))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) kx)))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 1 binary64))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (/.f64 (sin.f64 ky) #s(literal 1 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (/.f64 (sin.f64 ky) (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 (sin.f64 ky) #s(literal -1 binary64)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (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) (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 ky)) #s(literal -1 binary64))
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.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) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (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 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (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 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64)))
(pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(sqrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (neg.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #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 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 th) (neg.f64 (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (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 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 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)))

simplify302.0ms (2.2%)

Algorithm
egg-herbie
Rules
808×fma-define
505×distribute-rgt-in
505×distribute-lft-in
349×*-commutative
276×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0101934079
1291932497
Stop Event
node limit
Counts
528 → 510
Calls
Call 1
Inputs
(/.f64 ky (sin.f64 kx))
(*.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))))
(*.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))))
(*.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))))
(*.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))))))
(*.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))))))
(*.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))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(+.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)))))))
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(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
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(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 th (sin.f64 kx))
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(/.f64 (sin.f64 th) kx)
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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))))))
(sin.f64 th)
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(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
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(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx))
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(/.f64 (sin.f64 th) kx)
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(/.f64 (sin.f64 th) (sin.f64 ky))
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(/.f64 (sin.f64 th) kx)
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(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 th) kx))
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(/.f64 ky (sin.f64 kx))
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#s(literal 1 binary64)
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(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)))
Outputs
(/.f64 ky (sin.f64 kx))
(*.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))))
(*.f64 ky (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(*.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx))))))
(*.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))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(*.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))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (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))))))) (*.f64 (*.f64 (sin.f64 kx) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) #s(literal -1/12 binary64))) (+.f64 (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))))))) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (+.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 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))) (-.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (+.f64 (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(*.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) (pow.f64 (hypot.f64 (sin.f64 kx) (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) (pow.f64 (hypot.f64 (sin.f64 kx) (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) (pow.f64 (hypot.f64 (sin.f64 kx) (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) (pow.f64 (hypot.f64 (sin.f64 kx) (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) (pow.f64 (hypot.f64 (sin.f64 kx) (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) (pow.f64 (hypot.f64 (sin.f64 kx) (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) (pow.f64 (hypot.f64 (sin.f64 kx) (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) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 kx #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.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)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.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) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) (neg.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(fma.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.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)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 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) (pow.f64 (hypot.f64 (sin.f64 kx) (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) (pow.f64 (hypot.f64 (sin.f64 kx) (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) (pow.f64 (hypot.f64 (sin.f64 kx) (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) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))))
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(/.f64 (sin.f64 th) kx)
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(/.f64 (*.f64 ky (sin.f64 th)) kx)
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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 (*.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))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 1 binary64))
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(expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
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(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
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(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
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(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
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(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
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(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(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 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #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))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #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))))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(log1p.f64 (expm1.f64 (*.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 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(exp.f64 (log.f64 (*.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 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(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 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))

eval283.0ms (2%)

Compiler

Compiled 23758 to 11604 computations (51.2% saved)

prune292.0ms (2.1%)

Pruning

52 alts after pruning (49 fresh and 3 done)

PrunedKeptTotal
New1021391060
Fresh31013
Picked325
Done011
Total1027521079
Accuracy
100.0%
Counts
1079 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.1%
(pow.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) #s(literal 1/3 binary64))
23.0%
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
29.6%
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
15.0%
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
97.9%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
18.5%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
18.4%
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
27.5%
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
17.5%
(/.f64 (*.f64 ky (sin.f64 th)) kx)
99.6%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
99.5%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
54.8%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
31.5%
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
97.8%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
30.1%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
27.0%
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
99.6%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
49.0%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
54.9%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
52.4%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
31.5%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
81.2%
(*.f64 (/.f64 (sin.f64 ky) (log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sin.f64 th))
28.9%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
30.1%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
49.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) th)
51.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) ky) (sin.f64 th))
46.5%
(*.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))))))
99.3%
(*.f64 (sin.f64 ky) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal -1 binary64)))
15.6%
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) kx))
19.2%
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))) (sin.f64 kx)))
99.5%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
29.9%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky kx)))
45.4%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))))
31.5%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (expm1.f64 (log1p.f64 (sin.f64 kx)))))
48.9%
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
29.9%
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
19.7%
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
31.5%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
18.2%
(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
14.1%
(*.f64 (log.f64 (exp.f64 (sin.f64 ky))) (/.f64 (sin.f64 th) (sin.f64 kx)))
19.8%
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
13.6%
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
28.9%
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
18.9%
(*.f64 ky (/.f64 (sin.f64 th) kx))
30.2%
(sin.f64 th)
27.1%
(log.f64 (exp.f64 (sin.f64 th)))
34.3%
(fabs.f64 (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
27.0%
(fabs.f64 (sin.f64 th))
30.1%
(expm1.f64 (log1p.f64 (sin.f64 th)))
22.3%
(exp.f64 (log.f64 (sin.f64 th)))
29.3%
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
14.0%
th
Compiler

Compiled 1193 to 866 computations (27.4% saved)

localize163.0ms (1.2%)

Algorithm
egg-herbie
Localize:

Found 30 expressions of interest:

NewMetricScoreProgram
cost-diff0
(hypot.f64 (sin.f64 ky) kx)
cost-diff0
(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))
cost-diff0
(sin.f64 ky)
cost-diff0
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
cost-diff0
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
cost-diff0
(sin.f64 ky)
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))
cost-diff128
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
cost-diff0
(sin.f64 th)
cost-diff0
(log.f64 (sin.f64 th))
cost-diff12800
(exp.f64 (log.f64 (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)))
accuracy100.0%
(sin.f64 ky)
accuracy100.0%
(sin.f64 th)
accuracy99.8%
(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))
accuracy99.7%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
accuracy100.0%
(sin.f64 th)
accuracy99.8%
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
accuracy99.7%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))
accuracy100.0%
(sin.f64 th)
accuracy99.5%
(log.f64 (sin.f64 th))
accuracy95.7%
(exp.f64 (log.f64 (sin.f64 th)))
accuracy100.0%
(sin.f64 th)
accuracy99.9%
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
accuracy99.8%
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
accuracy99.8%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
Rules
associate-*r*
associate-*l*
*-commutative
associate-*l/
associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016138
122138
228138
334138
435138
044
0832
1832
017118
128106
245106
369106
469106
015118
121118
227118
333118
434118
Stop Event
saturated
saturated
saturated
saturated
saturated
Calls
Call 1
Inputs
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
(sin.f64 ky)
ky
(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))
(hypot.f64 (sin.f64 ky) kx)
kx
(sin.f64 th)
th
Outputs
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(sin.f64 ky)
ky
(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))
(hypot.f64 (sin.f64 ky) kx)
kx
(sin.f64 th)
th
Call 2
Inputs
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(sin.f64 ky)
ky
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
#s(literal 1 binary64)
(sin.f64 kx)
kx
(sin.f64 th)
th
Outputs
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(sin.f64 ky)
ky
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
#s(literal 1 binary64)
(sin.f64 kx)
kx
(sin.f64 th)
th
Call 3
Inputs
(exp.f64 (log.f64 (sin.f64 th)))
(log.f64 (sin.f64 th))
(sin.f64 th)
th
Outputs
(exp.f64 (log.f64 (sin.f64 th)))
(sin.f64 th)
(log.f64 (sin.f64 th))
(sin.f64 th)
th
Call 4
Inputs
th
Outputs
th
Call 5
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
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 (*.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
Results
64.0ms199×0valid
28.0ms57×0invalid
Compiler

Compiled 107 to 25 computations (76.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-sin: 18.0ms (32.5% of total)
ival-div: 15.0ms (27.1% of total)
ival-hypot: 12.0ms (21.7% of total)
ival-mult: 5.0ms (9% of total)
ival-log: 3.0ms (5.4% of total)
ival-exp: 2.0ms (3.6% of total)
const: 1.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

series99.0ms (0.7%)

Counts
10 → 236
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 (exp.f64 (log.f64 (sin.f64 th)))>
#<alt (log.f64 (sin.f64 th))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))>
#<alt (*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))>
#<alt (/.f64 #s(literal 1 binary64) (sin.f64 kx))>
#<alt (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))>
#<alt (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))>
#<alt (hypot.f64 (sin.f64 ky) kx)>
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)))))>
#<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)))))>
#<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)))))>
#<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)))))>
#<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)))))>
#<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)))))>
#<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)))))>
#<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)))))>
#<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 (*.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)))))) (pow.f64 (sin.f64 ky) #s(literal 2 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 (+.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 #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)))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<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)))))>
#<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)))))>
#<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)))))>
#<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)))))>
#<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)))))>
#<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)))))>
#<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)))))>
#<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)))))>
#<alt th>
#<alt (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))>
#<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)))))>
#<alt (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
#<alt (sin.f64 th)>
#<alt (sin.f64 th)>
#<alt (sin.f64 th)>
#<alt (sin.f64 th)>
#<alt (sin.f64 th)>
#<alt (sin.f64 th)>
#<alt (sin.f64 th)>
#<alt (sin.f64 th)>
#<alt (log.f64 th)>
#<alt (+.f64 (log.f64 th) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 th) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/180 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64))))>
#<alt (+.f64 (log.f64 th) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2835 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/180 binary64))) #s(literal 1/6 binary64))))>
#<alt (/.f64 (sin.f64 th) kx)>
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#<alt kx>
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#<alt (sin.f64 ky)>
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#<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)))))))))>
Calls

63 calls:

TimeVariablePointExpression
35.0ms
th
@inf
(log (sin th))
13.0ms
th
@-inf
(log (sin th))
7.0ms
ky
@0
(/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))
4.0ms
kx
@0
(/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))
3.0ms
th
@-inf
(/ (sin ky) (/ (sqrt (+ (* (sin ky) (sin ky)) (* kx kx))) (sin th)))

rewrite187.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1203×log1p-expm1-u
312×prod-diff
307×expm1-log1p-u
163×add-exp-log
163×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025260
1365260
24973260
Stop Event
node limit
Counts
10 → 284
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))
(exp.f64 (log.f64 (sin.f64 th)))
(log.f64 (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))
(hypot.f64 (sin.f64 ky) kx)
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 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 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 th)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (pow.f64 (cbrt.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 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 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 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 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 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal 2 binary64))) (/.f64 (sin.f64 th) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (cbrt.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #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 th)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(*.f64 (/.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)) (sin.f64 ky))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 ky)))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (sin.f64 ky)))
(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 th) (sin.f64 ky))) #s(literal -1 binary64))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 ky)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(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 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 ky)))
(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 th) #s(literal 3 binary64)) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #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 ky)))) #s(literal 1 binary64))
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (cbrt.f64 (pow.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 ky)))
(*.f64 (cbrt.f64 (pow.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 ky))))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.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))) (*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (cbrt.f64 (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 ky))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sqrt.f64 (sin.f64 ky))))
(*.f64 (/.f64 (cbrt.f64 (pow.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 ky)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) (sqrt.f64 (sin.f64 ky))) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (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))) (sin.f64 ky)))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (cbrt.f64 (sin.f64 ky))))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (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)) (sin.f64 ky))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sin.f64 ky) (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 ky))))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (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 (sin.f64 ky) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #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))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sin.f64 th)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sin.f64 th)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (sin.f64 th))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sin.f64 th)))) (sqrt.f64 (log.f64 (sin.f64 th))))
(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)))
(sin.f64 th)
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(+.f64 #s(literal 0 binary64) (log.f64 (sin.f64 th)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (sin.f64 th))))
(+.f64 (log.f64 (sqrt.f64 (sin.f64 th))) (log.f64 (sqrt.f64 (sin.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sin.f64 th)))) #s(literal 1 binary64))
(*.f64 (log.f64 (sin.f64 th)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (sin.f64 th)))
(*.f64 (cbrt.f64 (log.f64 (sin.f64 th))) (cbrt.f64 (pow.f64 (log.f64 (sin.f64 th)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (sin.f64 th)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sin.f64 th))))
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(neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (neg.f64 (sin.f64 th))))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) kx))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx))
(*.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.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)))

simplify351.0ms (2.5%)

Algorithm
egg-herbie
Rules
918×fma-define
493×distribute-rgt-in
493×distribute-lft-in
402×times-frac
398×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0122326493
1336125511
Stop Event
node limit
Counts
520 → 594
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)
(/.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)
(/.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)
(/.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)
(*.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.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)))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #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 (*.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 #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)))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 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)))))
(*.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)))))
(*.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)))))
(*.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
(*.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)))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(log.f64 th)
(+.f64 (log.f64 th) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))
(+.f64 (log.f64 th) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/180 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64))))
(+.f64 (log.f64 th) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2835 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/180 binary64))) #s(literal 1/6 binary64))))
(/.f64 (sin.f64 th) kx)
(/.f64 (+.f64 (sin.f64 th) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)))) kx)
(/.f64 (+.f64 (sin.f64 th) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.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))))) kx)
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(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 th (sin.f64 kx))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(*.f64 th (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 kx))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(*.f64 th (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.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 kx))) (*.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th)) (sin.f64 kx))) (/.f64 (sin.f64 th) (sin.f64 kx))))
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(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th)))) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(/.f64 (+.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (sin.f64 th)))))) (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sin.f64 th)))))) kx)
(/.f64 (+.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (+.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))))))))) (+.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (sin.f64 th)))))) (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sin.f64 th)))))) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sin.f64 kx))) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 th (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sin.f64 kx))))) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 th (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (sin.f64 kx))) (*.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)) (sin.f64 kx))) (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 ky) (sin.f64 kx))))))) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 #s(literal 1 binary64) kx)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))) kx)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 7/360 binary64) (pow.f64 kx #s(literal 2 binary64)))))) kx)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 7/360 binary64) (*.f64 #s(literal 31/15120 binary64) (pow.f64 kx #s(literal 2 binary64)))))))) kx)
(/.f64 (*.f64 ky (sin.f64 th)) 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 kx #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) kx)))) (/.f64 (sin.f64 th) 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 kx #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) kx)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) kx)) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 kx #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 6 binary64)))))))))))))) (/.f64 (sin.f64 th) 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 kx #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) kx)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) kx)) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 kx #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 6 binary64)))))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.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 kx #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 6 binary64))))) (pow.f64 kx #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 8 binary64))))))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 kx (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 6 binary64)))))))) (+.f64 (*.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 kx #s(literal 3 binary64)))) (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) kx))))))))))))) (/.f64 (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 (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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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))))
(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 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 #s(literal -1 binary64) 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)))))))
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(*.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 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)))))
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(*.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)))
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(*.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))))))
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(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
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(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
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(*.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))))
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(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (cbrt.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #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 th)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(*.f64 (/.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)) (sin.f64 ky))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 ky)))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (sin.f64 ky)))
(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 th) (sin.f64 ky))) #s(literal -1 binary64))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 ky)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(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 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 ky)))
(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 th) #s(literal 3 binary64)) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #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 ky)))) #s(literal 1 binary64))
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (cbrt.f64 (pow.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 ky)))
(*.f64 (cbrt.f64 (pow.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 ky))))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)))
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(*.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 ky))))
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(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (cbrt.f64 (sin.f64 ky))))
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(pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 3 binary64)))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 2 binary64))) (sqrt.f64 (sin.f64 th))) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) (sqrt.f64 (sin.f64 th))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th)))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) (cbrt.f64 (sin.f64 th))))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)) #s(literal -1 binary64))
(neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (neg.f64 (sin.f64 th))))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) kx))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx))
(*.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.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)))
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 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #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 ky) (sin.f64 kx)) #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 (sqrt.f64 (/.f64 #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) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #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 #s(literal 1/120 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 (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) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 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 (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 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 (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 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 (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 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 (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 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 (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 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 (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 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 (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #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 (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 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 #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 #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))))
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#s(literal 1 binary64)
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th
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kx
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(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th)))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))) #s(literal 2 binary64)))
(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))))
(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) (*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))))
(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (neg.f64 (hypot.f64 (sin.f64 ky) kx)) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 th))))
(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) kx))
(/.f64 (hypot.f64 (sin.f64 ky) 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) kx) (cbrt.f64 (sin.f64 th))))
(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sqrt.f64 (sin.f64 th))))
(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 2 binary64))) (sqrt.f64 (sin.f64 th))) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) (sqrt.f64 (sin.f64 th))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th)))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) (cbrt.f64 (sin.f64 th))))
(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)) #s(literal 1 binary64))
(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))) #s(literal 3 binary64))
(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))) #s(literal 2 binary64))
(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))
(pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (neg.f64 (sin.f64 th))))
(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))))
(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))))
(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)) #s(literal 3 binary64)))
(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))))
(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))
(exp.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))))
(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))) #s(literal 1 binary64)))
(/.f64 (hypot.f64 (sin.f64 ky) kx) (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 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx))
(hypot.f64 (sin.f64 ky) kx)
(*.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 1 binary64))
(hypot.f64 (sin.f64 ky) kx)
(*.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (cbrt.f64 (pow.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)))
(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)

eval332.0ms (2.4%)

Compiler

Compiled 19470 to 9352 computations (52% saved)

prune374.0ms (2.7%)

Pruning

60 alts after pruning (54 fresh and 6 done)

PrunedKeptTotal
New89717914
Fresh73744
Picked235
Done033
Total90660966
Accuracy
100.0%
Counts
966 → 60
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.0%
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
29.6%
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
97.9%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
18.4%
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
27.5%
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
17.5%
(/.f64 (*.f64 ky (sin.f64 th)) kx)
99.6%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
52.4%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
28.9%
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
81.2%
(/.f64 (sin.f64 th) (/.f64 (log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 ky)))
99.4%
(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
99.5%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
29.9%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th))
29.9%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
31.5%
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
19.9%
(/.f64 (sin.f64 ky) (/.f64 kx (sin.f64 th)))
49.0%
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
97.8%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
30.1%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
27.0%
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
99.6%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
49.0%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
54.9%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
52.4%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
31.5%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
28.9%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
30.1%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
75.2%
(*.f64 (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))
49.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) th)
51.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) ky) (sin.f64 th))
46.5%
(*.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))))))
99.3%
(*.f64 (sin.f64 ky) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal -1 binary64)))
19.2%
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))) (sin.f64 kx)))
99.5%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
45.4%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))))
31.5%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (expm1.f64 (log1p.f64 (sin.f64 kx)))))
29.9%
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
19.7%
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
15.6%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64))) kx) (sin.f64 th)))
31.5%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
29.9%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (fabs.f64 (sin.f64 th))))
19.7%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) th))
19.9%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)))
18.2%
(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
14.1%
(*.f64 (log.f64 (exp.f64 (sin.f64 ky))) (/.f64 (sin.f64 th) (sin.f64 kx)))
19.8%
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
13.6%
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
28.9%
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
18.9%
(*.f64 ky (/.f64 (sin.f64 th) kx))
28.9%
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
30.2%
(sin.f64 th)
27.1%
(log.f64 (exp.f64 (sin.f64 th)))
34.3%
(fabs.f64 (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
27.0%
(fabs.f64 (sin.f64 th))
30.1%
(expm1.f64 (log1p.f64 (sin.f64 th)))
22.3%
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (sin.f64 th)))))
20.1%
(exp.f64 (log1p.f64 (-.f64 (sin.f64 th) #s(literal 1 binary64))))
13.2%
(exp.f64 (log.f64 th))
29.3%
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
14.0%
th
Compiler

Compiled 1358 to 982 computations (27.7% saved)

localize177.0ms (1.3%)

Algorithm
egg-herbie
Localize:

Found 38 expressions of interest:

NewMetricScoreProgram
cost-diff0
(hypot.f64 ky (sin.f64 kx))
cost-diff0
(/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))
cost-diff0
(sin.f64 th)
cost-diff0
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
cost-diff0
(hypot.f64 ky kx)
cost-diff0
(/.f64 (hypot.f64 ky kx) (sin.f64 th))
cost-diff0
(sin.f64 ky)
cost-diff0
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
cost-diff0
(sin.f64 kx)
cost-diff0
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))
cost-diff128
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
cost-diff0
(sin.f64 th)
cost-diff0
(/.f64 (sin.f64 th) kx)
cost-diff0
(*.f64 ky (/.f64 (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)))
accuracy100.0%
(sin.f64 th)
accuracy100.0%
(sin.f64 kx)
accuracy99.7%
(/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))
accuracy99.6%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
accuracy100.0%
(sin.f64 ky)
accuracy100.0%
(sin.f64 th)
accuracy99.7%
(/.f64 (hypot.f64 ky kx) (sin.f64 th))
accuracy99.4%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
accuracy100.0%
(sin.f64 kx)
accuracy99.8%
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
accuracy99.7%
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
accuracy99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))
accuracy100.0%
(sin.f64 th)
accuracy99.8%
(/.f64 (sin.f64 th) kx)
accuracy96.6%
(*.f64 ky (/.f64 (sin.f64 th) kx))
accuracy100.0%
(sin.f64 kx)
accuracy99.9%
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
accuracy99.6%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
accuracy99.5%
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
Rules
associate-*r*
associate-*l*
*-commutative
associate-*r/
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016138
122138
228138
334138
435138
01363
11663
21863
32063
42163
016106
12794
24494
36694
46694
015106
121106
227106
333106
434106
016126
122126
228126
334126
435126
Stop Event
saturated
saturated
saturated
saturated
saturated
Calls
Call 1
Inputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(sin.f64 th)
th
(/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))
(hypot.f64 ky (sin.f64 kx))
ky
(sin.f64 kx)
kx
(sin.f64 ky)
Outputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))))
(sin.f64 th)
th
(/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))
(hypot.f64 ky (sin.f64 kx))
ky
(sin.f64 kx)
kx
(sin.f64 ky)
Call 2
Inputs
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(sin.f64 ky)
ky
(/.f64 (hypot.f64 ky kx) (sin.f64 th))
(hypot.f64 ky kx)
kx
(sin.f64 th)
th
Outputs
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky kx)))
(sin.f64 ky)
ky
(/.f64 (hypot.f64 ky kx) (sin.f64 th))
(hypot.f64 ky kx)
kx
(sin.f64 th)
th
Call 3
Inputs
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
ky
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
#s(literal 1 binary64)
(sin.f64 kx)
kx
(sin.f64 th)
th
Outputs
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 ky (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
ky
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
#s(literal 1 binary64)
(sin.f64 kx)
kx
(sin.f64 th)
th
Call 4
Inputs
(*.f64 ky (/.f64 (sin.f64 th) kx))
ky
(/.f64 (sin.f64 th) kx)
(sin.f64 th)
th
kx
Outputs
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(*.f64 (sin.f64 th) (/.f64 ky kx))
ky
(/.f64 (sin.f64 th) kx)
(sin.f64 th)
th
kx
Call 5
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
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 (*.f64 (sin.f64 ky) (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))))
(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
Results
96.0ms256×0valid
Compiler

Compiled 135 to 28 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-div: 19.0ms (33.4% of total)
ival-sin: 18.0ms (31.7% of total)
ival-hypot: 12.0ms (21.1% of total)
ival-mult: 7.0ms (12.3% of total)
const: 1.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

series129.0ms (0.9%)

Counts
11 → 328
Calls
Call 1
Inputs
#<alt (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))>
#<alt (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))>
#<alt (*.f64 ky (/.f64 (sin.f64 th) kx))>
#<alt (/.f64 (sin.f64 th) kx)>
#<alt (*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))>
#<alt (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))>
#<alt (/.f64 (hypot.f64 ky kx) (sin.f64 th))>
#<alt (/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))>
#<alt (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))>
#<alt (hypot.f64 ky kx)>
#<alt (hypot.f64 ky (sin.f64 kx))>
Outputs
#<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)))>
#<alt (+.f64 (*.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)))))) (*.f64 (sin.f64 kx) (sin.f64 th)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 kx) (sin.f64 th)))))) (/.f64 (sin.f64 kx) (sin.f64 th)))>
#<alt (+.f64 (*.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))))) (*.f64 (sin.f64 kx) (sin.f64 th)))) (*.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)))))) (*.f64 (sin.f64 kx) (sin.f64 th)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 kx) (sin.f64 th)))))) (/.f64 (sin.f64 kx) (sin.f64 th)))>
#<alt (*.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (sin.f64 ky) (sin.f64 th))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th)))) (/.f64 (sin.f64 ky) (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 (sin.f64 ky) (sin.f64 th)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th)))))) (/.f64 (sin.f64 ky) (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 (sin.f64 ky) (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 (sin.f64 ky) (sin.f64 th)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th)))))) (/.f64 (sin.f64 ky) (sin.f64 th)))>
#<alt (*.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (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 (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 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (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 (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 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)))))) (*.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)))))))))) th)>
#<alt (*.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (*.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))))))>
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#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #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 (*.f64 #s(literal 7/360 binary64) (sin.f64 kx)) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))))))) 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 (*.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 (*.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 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))))))) ky)>
#<alt (/.f64 ky (sin.f64 ky))>
#<alt (*.f64 ky (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 ky)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))>
#<alt (*.f64 ky (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (*.f64 (pow.f64 ky #s(literal 4 binary64)) (sin.f64 ky)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 ky)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))>
#<alt (*.f64 ky (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (*.f64 (pow.f64 ky #s(literal 4 binary64)) (sin.f64 ky)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (*.f64 (pow.f64 ky #s(literal 6 binary64)) (sin.f64 ky)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 ky)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 ky (sin.f64 ky)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 ky (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 ky)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 ky (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (*.f64 (pow.f64 ky #s(literal 4 binary64)) (sin.f64 ky)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 ky)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 ky (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (*.f64 (pow.f64 ky #s(literal 4 binary64)) (sin.f64 ky)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (*.f64 (pow.f64 ky #s(literal 6 binary64)) (sin.f64 ky)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 ky)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))))>
#<alt (/.f64 ky (sin.f64 ky))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 ky (sin.f64 ky)))) (/.f64 ky (sin.f64 ky)))>
#<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 ky #s(literal 2 binary64)))))) (*.f64 ky (sin.f64 ky)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 ky (sin.f64 ky)))))) (/.f64 ky (sin.f64 ky)))>
#<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 ky #s(literal 2 binary64))))) (*.f64 ky (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 ky #s(literal 2 binary64))))) (pow.f64 ky #s(literal 2 binary64)))))) (*.f64 ky (sin.f64 ky)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 ky (sin.f64 ky)))))) (/.f64 ky (sin.f64 ky)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #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 -1/8 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 kx #s(literal 3 binary64)))) (*.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 1/16 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 kx #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) kx)))))>
#<alt ky>
#<alt (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.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 kx #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.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 kx #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 kx #s(literal 6 binary64)) (pow.f64 ky #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.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 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 kx #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.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 kx #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 kx #s(literal 6 binary64)) (pow.f64 ky #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.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 -1/8 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 3 binary64)))) (*.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 1/16 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 ky #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) ky)))))>
#<alt kx>
#<alt (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.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 ky #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.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 ky #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 ky #s(literal 6 binary64)) (pow.f64 kx #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.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 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 ky #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.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 ky #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 ky #s(literal 6 binary64)) (pow.f64 kx #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 kx #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

87 calls:

TimeVariablePointExpression
30.0ms
ky
@0
(/ (sin th) (/ (sqrt (+ (* ky ky) (* (sin kx) (sin kx)))) (sin ky)))
21.0ms
kx
@0
(/ (sin ky) (/ (sqrt (+ (* ky ky) (* kx kx))) (sin th)))
5.0ms
th
@inf
(* ky (/ (sin th) kx))
2.0ms
ky
@-inf
(/ (sin ky) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin th)))
2.0ms
ky
@inf
(/ (sin th) (/ (sqrt (+ (* ky ky) (* (sin kx) (sin kx)))) (sin ky)))

rewrite283.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
458×log1p-expm1-u
390×prod-diff
212×add-exp-log
212×add-log-exp
212×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028322
1463322
26717322
Stop Event
node limit
Counts
11 → 357
Calls
Call 1
Inputs
(/.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 ky (/.f64 (sin.f64 th) kx))
(/.f64 (sin.f64 th) kx)
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(/.f64 (hypot.f64 ky kx) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))
(hypot.f64 ky kx)
(hypot.f64 ky (sin.f64 kx))
Outputs
(-.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 #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)) #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)) (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))) #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))) (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 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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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))))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.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 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (cbrt.f64 (pow.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 (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)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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)) (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 (sin.f64 ky) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.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 ky (/.f64 kx (sin.f64 th))))) #s(literal 1 binary64))
(/.f64 ky (/.f64 kx (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (neg.f64 (*.f64 ky (sin.f64 th))) (neg.f64 kx))
(/.f64 (*.f64 ky (neg.f64 (sin.f64 th))) (neg.f64 kx))
(/.f64 (*.f64 (neg.f64 (sin.f64 th)) ky) (neg.f64 kx))
(/.f64 (/.f64 (*.f64 ky (sin.f64 th)) #s(literal 1 binary64)) kx)
(/.f64 (/.f64 (*.f64 ky (sin.f64 th)) (pow.f64 (cbrt.f64 kx) #s(literal 2 binary64))) (cbrt.f64 kx))
(/.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 kx)) (sqrt.f64 kx))
(pow.f64 (/.f64 ky (/.f64 kx (sin.f64 th))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 ky (/.f64 kx (sin.f64 th)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 ky (/.f64 kx (sin.f64 th))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 ky (/.f64 kx (sin.f64 th)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 ky (/.f64 kx (sin.f64 th))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 ky) (/.f64 (sin.f64 th) kx)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 ky (/.f64 kx (sin.f64 th))))))
(cbrt.f64 (pow.f64 (/.f64 ky (/.f64 kx (sin.f64 th))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 ky #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 th) kx) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 th) kx) #s(literal 3 binary64)) (pow.f64 ky #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 ky (/.f64 kx (sin.f64 th)))))
(log1p.f64 (expm1.f64 (/.f64 ky (/.f64 kx (sin.f64 th)))))
(exp.f64 (log.f64 (/.f64 ky (/.f64 kx (sin.f64 th)))))
(exp.f64 (*.f64 (log.f64 (/.f64 ky (/.f64 kx (sin.f64 th)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 th) kx))) #s(literal 1 binary64))
(*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) kx))
(*.f64 (/.f64 (sin.f64 th) kx) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) kx))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sin.f64 th)) kx))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) kx)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 th) kx)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) kx)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) kx)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (sin.f64 th) kx)))
(*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sqrt.f64 (sin.f64 th)) kx))
(*.f64 (sqrt.f64 (sin.f64 th)) (*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) kx)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 th) kx)) (sqrt.f64 (/.f64 (sin.f64 th) kx)))
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 kx)))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 th)) kx))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 th)) kx))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 kx) #s(literal 2 binary64))) (/.f64 (sin.f64 th) (cbrt.f64 kx)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 kx)) (/.f64 (sin.f64 th) (sqrt.f64 kx)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 kx) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sin.f64 th) kx)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (sqrt.f64 kx)) (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 kx)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 kx) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 kx)))
(pow.f64 (/.f64 (sin.f64 th) kx) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) kx)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 th) kx) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 th) kx)) #s(literal 2 binary64))
(pow.f64 (/.f64 kx (sin.f64 th)) #s(literal -1 binary64))
(neg.f64 (/.f64 (sin.f64 th) (neg.f64 kx)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 th)) kx))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 th) kx) #s(literal 2 binary64)))
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(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.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 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal -1 binary64))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (neg.f64 (sin.f64 ky)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 th)) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.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 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (hypot.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) (sin.f64 ky)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (sqrt.f64 (hypot.f64 ky (sin.f64 kx))) (/.f64 (sqrt.f64 (hypot.f64 ky (sin.f64 kx))) (sin.f64 ky)))
(*.f64 (sqrt.f64 (hypot.f64 ky (sin.f64 kx))) (*.f64 (sqrt.f64 (hypot.f64 ky (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))) (sqrt.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (neg.f64 (hypot.f64 ky (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 ky (sin.f64 kx)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (/.f64 (hypot.f64 ky (sin.f64 kx)) (cbrt.f64 (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 ky))) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sqrt.f64 (sin.f64 ky))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) (sin.f64 ky)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 2 binary64)) (sqrt.f64 (sin.f64 ky))) (/.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) (sqrt.f64 (sin.f64 ky))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (hypot.f64 ky (sin.f64 kx))) (sin.f64 ky)))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 ky (sin.f64 kx))) (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (hypot.f64 ky (sin.f64 kx))) (cbrt.f64 (sin.f64 ky))))
(pow.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) #s(literal -1 binary64))
(neg.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (neg.f64 (sin.f64 ky))))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 ky (sin.f64 kx)) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 ky kx))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 ky kx))
(*.f64 (hypot.f64 ky kx) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (hypot.f64 ky kx)) (pow.f64 (cbrt.f64 (hypot.f64 ky kx)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 ky kx)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 ky kx)))
(*.f64 (sqrt.f64 (hypot.f64 ky kx)) (sqrt.f64 (hypot.f64 ky kx)))
(pow.f64 (hypot.f64 ky kx) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 ky kx) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 ky kx)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 ky kx) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 ky kx)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 ky kx) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 ky kx)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 ky kx))))
(cbrt.f64 (pow.f64 (hypot.f64 ky kx) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 ky kx)))
(log1p.f64 (expm1.f64 (hypot.f64 ky kx)))
(exp.f64 (log.f64 (hypot.f64 ky kx)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 ky kx)) #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)))

simplify427.0ms (3%)

Algorithm
egg-herbie
Rules
684×distribute-lft-in
681×distribute-rgt-in
572×*-commutative
481×times-frac
252×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0161538594
1466438146
Stop Event
node limit
Counts
685 → 858
Calls
Call 1
Inputs
(/.f64 (sin.f64 kx) (sin.f64 th))
(+.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)))
(+.f64 (*.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)))))) (*.f64 (sin.f64 kx) (sin.f64 th)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 kx) (sin.f64 th)))))) (/.f64 (sin.f64 kx) (sin.f64 th)))
(+.f64 (*.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))))) (*.f64 (sin.f64 kx) (sin.f64 th)))) (*.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)))))) (*.f64 (sin.f64 kx) (sin.f64 th)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 kx) (sin.f64 th)))))) (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(/.f64 (sin.f64 ky) (sin.f64 th))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th)))) (/.f64 (sin.f64 ky) (sin.f64 th)))
(+.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 (sin.f64 ky) (sin.f64 th)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th)))))) (/.f64 (sin.f64 ky) (sin.f64 th)))
(+.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 (sin.f64 ky) (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 (sin.f64 ky) (sin.f64 th)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th)))))) (/.f64 (sin.f64 ky) (sin.f64 th)))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(/.f64 (+.f64 (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)
(/.f64 (+.f64 (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 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))) th)
(/.f64 (+.f64 (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 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)))))) (*.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)))))))))) th)
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
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(/.f64 (sin.f64 kx) ky)
(/.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)
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(/.f64 ky (sin.f64 ky))
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(*.f64 #s(literal -1 binary64) (/.f64 ky (sin.f64 ky)))
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(/.f64 ky (sin.f64 ky))
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(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
kx
(+.f64 kx (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) kx)))
(+.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 kx #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) kx)))))
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ky
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64))))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 kx #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64)))))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 kx #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 kx #s(literal 6 binary64)) (pow.f64 ky #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) ky)
(*.f64 #s(literal -1 binary64) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 ky (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 kx #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 ky (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 kx #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 kx #s(literal 6 binary64)) (pow.f64 ky #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64)))))))))
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 -1/8 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 3 binary64)))) (*.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 1/16 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 ky #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) ky)))))
kx
(*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.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 ky #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.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 ky #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 ky #s(literal 6 binary64)) (pow.f64 kx #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) kx)
(*.f64 #s(literal -1 binary64) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 kx (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 ky #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 kx (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 ky #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 ky #s(literal 6 binary64)) (pow.f64 kx #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64)))))))))
(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 -1/8 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))))))
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ky
(*.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))))))
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(*.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))))))))
(*.f64 #s(literal -1 binary64) ky)
(*.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)))))))
(*.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))))))))
(*.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)))))))))
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))))
(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))))
(-.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)))
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(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.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 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (hypot.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) (sin.f64 ky)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (sqrt.f64 (hypot.f64 ky (sin.f64 kx))) (/.f64 (sqrt.f64 (hypot.f64 ky (sin.f64 kx))) (sin.f64 ky)))
(*.f64 (sqrt.f64 (hypot.f64 ky (sin.f64 kx))) (*.f64 (sqrt.f64 (hypot.f64 ky (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))) (sqrt.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (neg.f64 (hypot.f64 ky (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 ky (sin.f64 kx)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (/.f64 (hypot.f64 ky (sin.f64 kx)) (cbrt.f64 (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 ky))) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sqrt.f64 (sin.f64 ky))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) (sin.f64 ky)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 2 binary64)) (sqrt.f64 (sin.f64 ky))) (/.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) (sqrt.f64 (sin.f64 ky))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (hypot.f64 ky (sin.f64 kx))) (sin.f64 ky)))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 ky (sin.f64 kx))) (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (hypot.f64 ky (sin.f64 kx))) (cbrt.f64 (sin.f64 ky))))
(pow.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) #s(literal -1 binary64))
(neg.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (neg.f64 (sin.f64 ky))))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 ky (sin.f64 kx)) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 ky kx))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 ky kx))
(*.f64 (hypot.f64 ky kx) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (hypot.f64 ky kx)) (pow.f64 (cbrt.f64 (hypot.f64 ky kx)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 ky kx)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 ky kx)))
(*.f64 (sqrt.f64 (hypot.f64 ky kx)) (sqrt.f64 (hypot.f64 ky kx)))
(pow.f64 (hypot.f64 ky kx) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 ky kx) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 ky kx)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 ky kx) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 ky kx)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 ky kx) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 ky kx)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 ky kx))))
(cbrt.f64 (pow.f64 (hypot.f64 ky kx) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 ky kx)))
(log1p.f64 (expm1.f64 (hypot.f64 ky kx)))
(exp.f64 (log.f64 (hypot.f64 ky kx)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 ky kx)) #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 (sin.f64 kx) (sin.f64 th))
(+.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)))
(fma.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)))
(+.f64 (*.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)))))) (*.f64 (sin.f64 kx) (sin.f64 th)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 kx) (sin.f64 th)))))) (/.f64 (sin.f64 kx) (sin.f64 th)))
(fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (sin.f64 kx) (sin.f64 th)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (sin.f64 th)))) (/.f64 (sin.f64 kx) (sin.f64 th)))
(fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (sin.f64 kx) (sin.f64 th))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (sin.f64 th)))) (/.f64 (sin.f64 kx) (sin.f64 th)))
(+.f64 (*.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))))) (*.f64 (sin.f64 kx) (sin.f64 th)))) (*.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)))))) (*.f64 (sin.f64 kx) (sin.f64 th)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 kx) (sin.f64 th)))))) (/.f64 (sin.f64 kx) (sin.f64 th)))
(fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (sin.f64 kx) (sin.f64 th))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (sin.f64 kx) (sin.f64 th)))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (sin.f64 th)))) (/.f64 (sin.f64 kx) (sin.f64 th)))
(fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (sin.f64 kx) (sin.f64 th))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (sin.f64 kx) (sin.f64 th)))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (sin.f64 th)))) (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.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)))))
(/.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) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #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))
(*.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)))))
(/.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) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #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))
(*.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)))))
(/.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) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #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))
(*.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)))))
(/.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) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #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))
(/.f64 (sin.f64 ky) (sin.f64 th))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th)))) (/.f64 (sin.f64 ky) (sin.f64 th)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 ky)) (sin.f64 th)) (/.f64 (sin.f64 ky) (sin.f64 th)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) (/.f64 (sin.f64 ky) (sin.f64 th)))
(+.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 (sin.f64 ky) (sin.f64 th)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th)))))) (/.f64 (sin.f64 ky) (sin.f64 th)))
(fma.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (sin.f64 th) (sin.f64 ky)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 th) (sin.f64 ky)))) (/.f64 (sin.f64 ky) (sin.f64 th)))
(fma.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 ky)) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 th) (sin.f64 ky)))) (/.f64 (sin.f64 ky) (sin.f64 th)))
(+.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 (sin.f64 ky) (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 (sin.f64 ky) (sin.f64 th)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th)))))) (/.f64 (sin.f64 ky) (sin.f64 th)))
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kx
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ky
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(neg.f64 ky)
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ky
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(+.f64 ky (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.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 ky #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 ky #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) ky))))
(+.f64 ky (*.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 ky #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 ky #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) ky))))
kx
(*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.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 ky #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.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 ky #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.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 ky #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 ky #s(literal 6 binary64)) (pow.f64 kx #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.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 ky #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 ky #s(literal 6 binary64)) (pow.f64 kx #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.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 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 ky #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64))))))
(*.f64 kx (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 kx (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 ky #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.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 ky #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.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 ky #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.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 ky #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 ky #s(literal 6 binary64)) (pow.f64 kx #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.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 ky #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 ky #s(literal 6 binary64)) (pow.f64 kx #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64))))))))
(*.f64 kx (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 ky #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 ky #s(literal 6 binary64)) (pow.f64 kx #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64)))))))))
(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 -1/8 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))))))
(+.f64 (sin.f64 kx) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.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) (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 1/16 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))))))
(+.f64 (sin.f64 kx) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.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) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))))
(+.f64 (sin.f64 kx) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.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) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))))
ky
(*.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))))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 ky #s(literal 2 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)))))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (fma.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 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 ky #s(literal 2 binary64))))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (fma.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)))))))
(*.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))))))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 ky #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 ky #s(literal 2 binary64)))))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64))) (fma.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))))))))
(*.f64 #s(literal -1 binary64) ky)
(neg.f64 ky)
(*.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)))))))
(*.f64 (neg.f64 ky) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 ky #s(literal 2 binary64)))))
(*.f64 (neg.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))))))
(*.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))))))))
(*.f64 (neg.f64 ky) (+.f64 #s(literal 1 binary64) (fma.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 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 ky #s(literal 2 binary64))))))
(*.f64 ky (neg.f64 (+.f64 #s(literal 1 binary64) (fma.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))))))))
(*.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)))))))))
(*.f64 (neg.f64 ky) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 ky #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 ky #s(literal 2 binary64)))))))
(*.f64 (neg.f64 ky) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 ky #s(literal 4 binary64))) (fma.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))))))))
ky
(+.f64 ky (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) ky)))
(+.f64 ky (/.f64 (*.f64 #s(literal 1/2 binary64) (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)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 ky #s(literal 2 binary64)))) ky)) (/.f64 #s(literal 1/2 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)))))
(+.f64 ky (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 ky #s(literal 2 binary64)))) ky) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 kx #s(literal 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) (pow.f64 ky #s(literal 2 binary64)))) (pow.f64 ky #s(literal 2 binary64))))) ky)))) (/.f64 #s(literal 1/2 binary64) ky))))
(sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(hypot.f64 ky (sin.f64 kx))
(hypot.f64 (sin.f64 kx) ky)
(sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(hypot.f64 ky (sin.f64 kx))
(hypot.f64 (sin.f64 kx) ky)
(sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(hypot.f64 ky (sin.f64 kx))
(hypot.f64 (sin.f64 kx) ky)
(sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(hypot.f64 ky (sin.f64 kx))
(hypot.f64 (sin.f64 kx) ky)
(sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(hypot.f64 ky (sin.f64 kx))
(hypot.f64 (sin.f64 kx) ky)
(sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(hypot.f64 ky (sin.f64 kx))
(hypot.f64 (sin.f64 kx) ky)
(sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(hypot.f64 ky (sin.f64 kx))
(hypot.f64 (sin.f64 kx) ky)
(sqrt.f64 (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(hypot.f64 ky (sin.f64 kx))
(hypot.f64 (sin.f64 kx) ky)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) #s(literal 1 binary64))
(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))))
(*.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 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 1 binary64))
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(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(*.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)) (sin.f64 th))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (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 (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 (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 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
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(*.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 (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)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
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(pow.f64 (hypot.f64 ky kx) #s(literal 1 binary64))
(hypot.f64 ky kx)
(hypot.f64 kx ky)
(pow.f64 (pow.f64 (hypot.f64 ky kx) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(hypot.f64 ky kx)
(hypot.f64 kx ky)
(pow.f64 (cbrt.f64 (hypot.f64 ky kx)) #s(literal 3 binary64))
(hypot.f64 ky kx)
(hypot.f64 kx ky)
(pow.f64 (pow.f64 (hypot.f64 ky kx) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 ky kx)
(hypot.f64 kx ky)
(pow.f64 (sqrt.f64 (hypot.f64 ky kx)) #s(literal 2 binary64))
(hypot.f64 ky kx)
(hypot.f64 kx ky)
(sqrt.f64 (pow.f64 (hypot.f64 ky kx) #s(literal 2 binary64)))
(hypot.f64 ky kx)
(hypot.f64 kx ky)
(log.f64 (exp.f64 (hypot.f64 ky kx)))
(hypot.f64 ky kx)
(hypot.f64 kx ky)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 ky kx))))
(hypot.f64 ky kx)
(hypot.f64 kx ky)
(cbrt.f64 (pow.f64 (hypot.f64 ky kx) #s(literal 3 binary64)))
(hypot.f64 ky kx)
(hypot.f64 kx ky)
(expm1.f64 (log1p.f64 (hypot.f64 ky kx)))
(expm1.f64 (log1p.f64 (hypot.f64 kx ky)))
(log1p.f64 (expm1.f64 (hypot.f64 ky kx)))
(hypot.f64 ky kx)
(hypot.f64 kx ky)
(exp.f64 (log.f64 (hypot.f64 ky kx)))
(hypot.f64 ky kx)
(hypot.f64 kx ky)
(exp.f64 (*.f64 (log.f64 (hypot.f64 ky kx)) #s(literal 1 binary64)))
(hypot.f64 ky kx)
(hypot.f64 kx ky)
(-.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))))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 kx) ky)))
(*.f64 #s(literal 1 binary64) (hypot.f64 ky (sin.f64 kx)))
(hypot.f64 ky (sin.f64 kx))
(hypot.f64 (sin.f64 kx) ky)
(*.f64 (hypot.f64 ky (sin.f64 kx)) #s(literal 1 binary64))
(hypot.f64 ky (sin.f64 kx))
(hypot.f64 (sin.f64 kx) ky)
(*.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))
(hypot.f64 (sin.f64 kx) ky)
(*.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))
(hypot.f64 (sin.f64 kx) ky)
(*.f64 (sqrt.f64 (hypot.f64 ky (sin.f64 kx))) (sqrt.f64 (hypot.f64 ky (sin.f64 kx))))
(hypot.f64 ky (sin.f64 kx))
(hypot.f64 (sin.f64 kx) ky)
(pow.f64 (hypot.f64 ky (sin.f64 kx)) #s(literal 1 binary64))
(hypot.f64 ky (sin.f64 kx))
(hypot.f64 (sin.f64 kx) ky)
(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))
(hypot.f64 (sin.f64 kx) ky)
(pow.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 3 binary64))
(hypot.f64 ky (sin.f64 kx))
(hypot.f64 (sin.f64 kx) ky)
(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))
(hypot.f64 (sin.f64 kx) ky)
(pow.f64 (sqrt.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 2 binary64))
(hypot.f64 ky (sin.f64 kx))
(hypot.f64 (sin.f64 kx) ky)
(sqrt.f64 (pow.f64 (hypot.f64 ky (sin.f64 kx)) #s(literal 2 binary64)))
(hypot.f64 ky (sin.f64 kx))
(hypot.f64 (sin.f64 kx) ky)
(log.f64 (exp.f64 (hypot.f64 ky (sin.f64 kx))))
(hypot.f64 ky (sin.f64 kx))
(hypot.f64 (sin.f64 kx) ky)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 ky (sin.f64 kx)))))
(hypot.f64 ky (sin.f64 kx))
(hypot.f64 (sin.f64 kx) ky)
(cbrt.f64 (pow.f64 (hypot.f64 ky (sin.f64 kx)) #s(literal 3 binary64)))
(hypot.f64 ky (sin.f64 kx))
(hypot.f64 (sin.f64 kx) ky)
(expm1.f64 (log1p.f64 (hypot.f64 ky (sin.f64 kx))))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 kx) ky)))
(log1p.f64 (expm1.f64 (hypot.f64 ky (sin.f64 kx))))
(hypot.f64 ky (sin.f64 kx))
(hypot.f64 (sin.f64 kx) ky)
(exp.f64 (log.f64 (hypot.f64 ky (sin.f64 kx))))
(hypot.f64 ky (sin.f64 kx))
(hypot.f64 (sin.f64 kx) ky)
(exp.f64 (*.f64 (log.f64 (hypot.f64 ky (sin.f64 kx))) #s(literal 1 binary64)))
(hypot.f64 ky (sin.f64 kx))
(hypot.f64 (sin.f64 kx) ky)

eval535.0ms (3.8%)

Compiler

Compiled 29400 to 14019 computations (52.3% saved)

prune498.0ms (3.5%)

Pruning

77 alts after pruning (70 fresh and 7 done)

PrunedKeptTotal
New1315311346
Fresh103949
Picked415
Done066
Total1329771406
Accuracy
100.0%
Counts
1406 → 77
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.0%
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
29.6%
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
50.8%
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 ky (sin.f64 kx)))
97.9%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
18.4%
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
16.9%
(/.f64 (*.f64 th ky) (sin.f64 kx))
28.5%
(/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) #s(literal -1/6 binary64)))) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
27.5%
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
17.5%
(/.f64 (*.f64 ky (sin.f64 th)) kx)
13.5%
(/.f64 (*.f64 ky th) kx)
99.6%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
67.2%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) ky))
28.9%
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
33.7%
(/.f64 (sin.f64 th) (/.f64 (log.f64 (exp.f64 (hypot.f64 ky (sin.f64 kx)))) (sin.f64 ky)))
15.1%
(/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
52.3%
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky))))
99.4%
(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
48.9%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
29.9%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th))
52.4%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
19.4%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) th))
77.0%
(/.f64 (sin.f64 ky) (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sqrt.f64 (sin.f64 th))) (sqrt.f64 (sin.f64 th))))
31.5%
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
15.1%
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
19.9%
(/.f64 (sin.f64 ky) (/.f64 kx (sin.f64 th)))
49.0%
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
26.7%
(/.f64 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
41.5%
(/.f64 ky (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
97.8%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))
30.1%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
17.5%
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
27.0%
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
99.6%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
49.0%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
54.9%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
31.5%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
28.9%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
18.9%
(*.f64 (/.f64 ky kx) (sin.f64 th))
30.1%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
46.5%
(*.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))))))
99.5%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
45.4%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))))
31.5%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (expm1.f64 (log1p.f64 (sin.f64 kx)))))
15.1%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
29.9%
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
19.7%
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
15.6%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64))) kx) (sin.f64 th)))
31.5%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
19.7%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) th))
19.9%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)))
18.2%
(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
99.3%
(*.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)))))
14.1%
(*.f64 (log.f64 (exp.f64 (sin.f64 ky))) (/.f64 (sin.f64 th) (sin.f64 kx)))
19.8%
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
14.2%
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) kx)) (/.f64 ky kx)))
13.6%
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
14.3%
(*.f64 ky (/.f64 (*.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))))) kx))
14.3%
(*.f64 ky (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))) kx))
28.9%
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
18.9%
(*.f64 ky (/.f64 (sin.f64 th) kx))
18.3%
(*.f64 ky (/.f64 th (sin.f64 kx)))
14.8%
(*.f64 ky (/.f64 th kx))
14.2%
(*.f64 ky (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64))) kx) (sin.f64 th)))
17.8%
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
27.5%
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (fabs.f64 (sin.f64 th))))
18.2%
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) th))
32.0%
(*.f64 ky (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
30.2%
(sin.f64 th)
27.1%
(log.f64 (exp.f64 (sin.f64 th)))
31.9%
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
27.0%
(fabs.f64 (sin.f64 th))
30.1%
(expm1.f64 (log1p.f64 (sin.f64 th)))
22.3%
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (sin.f64 th)))))
20.1%
(exp.f64 (log1p.f64 (-.f64 (sin.f64 th) #s(literal 1 binary64))))
13.2%
(exp.f64 (log.f64 th))
29.3%
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
14.0%
th
Compiler

Compiled 1932 to 1015 computations (47.5% saved)

regimes283.0ms (2%)

Counts
107 → 1
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 (*.f64 ky th) kx)
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(*.f64 ky (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))) kx))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) kx)) (/.f64 ky kx)))
(exp.f64 (log.f64 th))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 kx (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 ky (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) th))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) th))
(*.f64 ky (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64))) kx) (sin.f64 th)))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 ky (/.f64 (*.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))))) kx))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(exp.f64 (log1p.f64 (-.f64 (sin.f64 th) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(*.f64 ky (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky kx)))
(/.f64 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) ky))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (fabs.f64 (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64))) kx) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) kx))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) #s(literal -1/6 binary64)))) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (sin.f64 th)))))
(fabs.f64 (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (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 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 ky (sin.f64 kx)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (fabs.f64 (sin.f64 th))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) ky) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) th)
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky))))
(*.f64 (log.f64 (exp.f64 (sin.f64 ky))) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (expm1.f64 (log1p.f64 (sin.f64 kx)))))
(*.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 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.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 (sin.f64 th) (/.f64 (log.f64 (exp.f64 (hypot.f64 ky (sin.f64 kx)))) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal -1 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 (sin.f64 ky) (/.f64 (sin.f64 th) (log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (/.f64 (sin.f64 ky) (log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sqrt.f64 (sin.f64 th))) (sqrt.f64 (sin.f64 th))))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
Calls

9 calls:

38.0ms
(sin.f64 th)
35.0ms
(sin.f64 ky)
32.0ms
(*.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))
32.0ms
ky
29.0ms
th
Results
AccuracySegmentsBranch
99.6%1kx
99.6%1ky
99.6%1th
99.6%1(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
99.6%1(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
99.6%1(sin.f64 ky)
99.6%1(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
99.6%1(sin.f64 kx)
99.6%1(sin.f64 th)
Compiler

Compiled 69 to 53 computations (23.2% saved)

regimes196.0ms (1.4%)

Counts
89 → 1
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 (*.f64 ky th) kx)
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(*.f64 ky (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))) kx))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) kx)) (/.f64 ky kx)))
(exp.f64 (log.f64 th))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 kx (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 ky (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) th))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) th))
(*.f64 ky (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64))) kx) (sin.f64 th)))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 ky (/.f64 (*.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))))) kx))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(exp.f64 (log1p.f64 (-.f64 (sin.f64 th) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(*.f64 ky (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky kx)))
(/.f64 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) ky))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (fabs.f64 (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64))) kx) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) kx))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) #s(literal -1/6 binary64)))) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (sin.f64 th)))))
(fabs.f64 (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (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 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 ky (sin.f64 kx)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (fabs.f64 (sin.f64 th))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) ky) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) th)
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky))))
(*.f64 (log.f64 (exp.f64 (sin.f64 ky))) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (expm1.f64 (log1p.f64 (sin.f64 kx)))))
(*.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:

46.0ms
th
31.0ms
kx
29.0ms
(sin.f64 kx)
28.0ms
ky
28.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
99.5%1kx
99.5%1ky
99.5%1th
99.5%1(sin.f64 ky)
99.5%1(sin.f64 kx)
99.5%1(sin.f64 th)
Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes1.1s (7.8%)

Counts
88 → 2
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 (*.f64 ky th) kx)
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(*.f64 ky (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))) kx))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) kx)) (/.f64 ky kx)))
(exp.f64 (log.f64 th))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 kx (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 ky (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) th))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) th))
(*.f64 ky (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64))) kx) (sin.f64 th)))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 ky (/.f64 (*.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))))) kx))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(exp.f64 (log1p.f64 (-.f64 (sin.f64 th) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(*.f64 ky (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky kx)))
(/.f64 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) ky))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (fabs.f64 (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64))) kx) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) kx))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) #s(literal -1/6 binary64)))) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (sin.f64 th)))))
(fabs.f64 (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (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 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 ky (sin.f64 kx)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (fabs.f64 (sin.f64 th))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) ky) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) th)
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky))))
(*.f64 (log.f64 (exp.f64 (sin.f64 ky))) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (expm1.f64 (log1p.f64 (sin.f64 kx)))))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) ky))
Calls

6 calls:

763.0ms
ky
89.0ms
kx
66.0ms
(sin.f64 th)
65.0ms
(sin.f64 kx)
55.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
82.2%4kx
79.4%4ky
83.6%2th
78.7%2(sin.f64 ky)
80.4%3(sin.f64 kx)
83.6%3(sin.f64 th)
Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes47.0ms (0.3%)

Counts
74 → 2
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 (*.f64 ky th) kx)
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(*.f64 ky (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))) kx))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) kx)) (/.f64 ky kx)))
(exp.f64 (log.f64 th))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 kx (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 ky (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) th))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) th))
(*.f64 ky (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64))) kx) (sin.f64 th)))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 ky (/.f64 (*.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))))) kx))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(exp.f64 (log1p.f64 (-.f64 (sin.f64 th) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(*.f64 ky (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky kx)))
(/.f64 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) ky))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (fabs.f64 (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64))) kx) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) kx))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) #s(literal -1/6 binary64)))) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (sin.f64 th)))))
(fabs.f64 (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (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 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
Outputs
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) ky))
Calls

1 calls:

39.0ms
th
Results
AccuracySegmentsBranch
83.5%2th
Compiler

Compiled 4 to 3 computations (25% saved)

regimes256.0ms (1.8%)

Counts
69 → 2
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 (*.f64 ky th) kx)
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(*.f64 ky (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))) kx))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) kx)) (/.f64 ky kx)))
(exp.f64 (log.f64 th))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 kx (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 ky (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) th))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) th))
(*.f64 ky (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64))) kx) (sin.f64 th)))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 ky (/.f64 (*.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))))) kx))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(exp.f64 (log1p.f64 (-.f64 (sin.f64 th) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(*.f64 ky (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky kx)))
(/.f64 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) ky))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (fabs.f64 (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64))) kx) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) kx))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) #s(literal -1/6 binary64)))) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (sin.f64 th)))))
(fabs.f64 (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))))
Outputs
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) ky))
Calls

6 calls:

72.0ms
kx
52.0ms
(sin.f64 th)
47.0ms
ky
41.0ms
(sin.f64 ky)
20.0ms
th
Results
AccuracySegmentsBranch
69.3%3ky
72.9%2(sin.f64 ky)
67.2%1(sin.f64 kx)
69.2%2kx
68.9%3(sin.f64 th)
68.9%2th
Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes334.0ms (2.4%)

Counts
56 → 3
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 (*.f64 ky th) kx)
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(*.f64 ky (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))) kx))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) kx)) (/.f64 ky kx)))
(exp.f64 (log.f64 th))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 kx (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 ky (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) th))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) th))
(*.f64 ky (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64))) kx) (sin.f64 th)))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 ky (/.f64 (*.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))))) kx))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(exp.f64 (log1p.f64 (-.f64 (sin.f64 th) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(*.f64 ky (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky kx)))
(/.f64 th (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th))
Outputs
(*.f64 ky (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(/.f64 ky (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
Calls

6 calls:

93.0ms
ky
66.0ms
(sin.f64 th)
64.0ms
(sin.f64 ky)
40.0ms
(sin.f64 kx)
40.0ms
th
Results
AccuracySegmentsBranch
52.5%4(sin.f64 th)
50.7%4ky
61.2%3(sin.f64 kx)
51.9%3th
56.1%2kx
56.3%5(sin.f64 ky)
Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes37.0ms (0.3%)

Counts
47 → 3
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 (*.f64 ky th) kx)
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(*.f64 ky (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))) kx))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) kx)) (/.f64 ky kx)))
(exp.f64 (log.f64 th))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 kx (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 ky (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) th))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) th))
(*.f64 ky (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64))) kx) (sin.f64 th)))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 ky (/.f64 (*.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))))) kx))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(exp.f64 (log1p.f64 (-.f64 (sin.f64 th) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(*.f64 ky (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
Outputs
(*.f64 ky (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(/.f64 ky (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
Calls

1 calls:

33.0ms
(sin.f64 kx)
Results
AccuracySegmentsBranch
59.2%3(sin.f64 kx)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes36.0ms (0.3%)

Counts
46 → 3
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 (*.f64 ky th) kx)
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(*.f64 ky (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))) kx))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) kx)) (/.f64 ky kx)))
(exp.f64 (log.f64 th))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 kx (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 ky (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) th))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) th))
(*.f64 ky (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64))) kx) (sin.f64 th)))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 ky (/.f64 (*.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))))) kx))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(exp.f64 (log1p.f64 (-.f64 (sin.f64 th) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
Outputs
(fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(/.f64 ky (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
Calls

1 calls:

32.0ms
(sin.f64 kx)
Results
AccuracySegmentsBranch
59.1%3(sin.f64 kx)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes59.0ms (0.4%)

Counts
45 → 2
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 (*.f64 ky th) kx)
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(*.f64 ky (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))) kx))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) kx)) (/.f64 ky kx)))
(exp.f64 (log.f64 th))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 kx (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 ky (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky kx) th))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) th))
(*.f64 ky (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64))) kx) (sin.f64 th)))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 ky (/.f64 (*.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))))) kx))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(exp.f64 (log1p.f64 (-.f64 (sin.f64 th) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) #s(literal 1/3 binary64))
Outputs
(/.f64 ky (/.f64 (hypot.f64 ky kx) (sin.f64 th)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
Calls

2 calls:

31.0ms
kx
24.0ms
(sin.f64 kx)
Results
AccuracySegmentsBranch
51.1%2kx
51.6%2(sin.f64 kx)
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes417.0ms (3%)

Counts
28 → 5
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 (*.f64 ky th) kx)
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(*.f64 ky (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))) kx))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) kx)) (/.f64 ky kx)))
(exp.f64 (log.f64 th))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 kx (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
Outputs
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(sin.f64 th)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(sin.f64 th)
Calls

6 calls:

220.0ms
(sin.f64 th)
108.0ms
th
27.0ms
(sin.f64 ky)
24.0ms
ky
20.0ms
(sin.f64 kx)
Results
AccuracySegmentsBranch
48.2%4ky
37.1%3(sin.f64 th)
38.2%4th
45.6%2kx
51.5%5(sin.f64 ky)
46.4%3(sin.f64 kx)
Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes30.0ms (0.2%)

Counts
25 → 5
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 (*.f64 ky th) kx)
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(*.f64 ky (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))) kx))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) kx)) (/.f64 ky kx)))
(exp.f64 (log.f64 th))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 kx (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
Outputs
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(sin.f64 th)
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(sin.f64 th)
Calls

1 calls:

28.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
51.5%5(sin.f64 ky)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes24.0ms (0.2%)

Counts
20 → 5
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 (*.f64 ky th) kx)
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(*.f64 ky (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))) kx))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) kx)) (/.f64 ky kx)))
(exp.f64 (log.f64 th))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
Outputs
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(sin.f64 th)
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(sin.f64 th)
Calls

1 calls:

23.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
51.5%5(sin.f64 ky)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes42.0ms (0.3%)

Counts
16 → 4
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 (*.f64 ky th) kx)
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(*.f64 ky (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))) kx))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) kx)) (/.f64 ky kx)))
(exp.f64 (log.f64 th))
(fabs.f64 (sin.f64 th))
Outputs
(*.f64 ky (/.f64 (sin.f64 th) kx))
(sin.f64 th)
(fabs.f64 (sin.f64 th))
(sin.f64 th)
Calls

3 calls:

15.0ms
ky
13.0ms
(sin.f64 kx)
13.0ms
kx
Results
AccuracySegmentsBranch
38.8%3(sin.f64 kx)
41.5%4ky
38.0%2kx
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes12.0ms (0.1%)

Counts
15 → 2
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 (*.f64 ky th) kx)
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 ky (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(*.f64 ky (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))) kx))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) kx)) (/.f64 ky kx)))
(exp.f64 (log.f64 th))
Outputs
(*.f64 ky (/.f64 (sin.f64 th) kx))
(sin.f64 th)
Calls

1 calls:

11.0ms
ky
Results
AccuracySegmentsBranch
39.5%2ky
Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Counts
5 → 2
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 (*.f64 ky th) kx)
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
Outputs
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
Calls

2 calls:

5.0ms
kx
4.0ms
ky
Results
AccuracySegmentsBranch
37.9%2kx
37.8%2ky
Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Counts
4 → 2
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 (*.f64 ky th) kx)
(sin.f64 th)
Outputs
(*.f64 ky (/.f64 th kx))
(sin.f64 th)
Calls

2 calls:

3.0ms
kx
3.0ms
ky
Results
AccuracySegmentsBranch
36.6%2ky
34.6%2kx
Compiler

Compiled 8 to 6 computations (25% saved)

regimes9.0ms (0.1%)

Counts
3 → 2
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 (*.f64 ky th) kx)
Outputs
(*.f64 ky (/.f64 th kx))
th
Calls

3 calls:

4.0ms
ky
3.0ms
kx
2.0ms
th
Results
AccuracySegmentsBranch
21.1%2kx
14.8%1th
23.3%2ky
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

0.0ms
th
0.0ms
ky
0.0ms
kx
Results
AccuracySegmentsBranch
14.0%1th
14.0%1kx
14.0%1ky
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch31.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
29.0ms
2.6044795124526925e-7
2.913199506542384e-5
Results
17.0ms112×0valid
Compiler

Compiled 214 to 145 computations (32.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sin: 6.0ms (46.9% of total)
ival-pow: 3.0ms (23.5% of total)
ival-div: 1.0ms (7.8% of total)
ival-add: 1.0ms (7.8% of total)
ival-mult: 1.0ms (7.8% of total)
ival-sqrt: 1.0ms (7.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
2.6044795124526925e-7
2.913199506542384e-5
Results
17.0ms112×0valid
Compiler

Compiled 214 to 145 computations (32.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sin: 8.0ms (60.2% of total)
ival-pow: 2.0ms (15.1% of total)
ival-div: 1.0ms (7.5% of total)
ival-add: 1.0ms (7.5% of total)
ival-mult: 1.0ms (7.5% of total)
ival-sqrt: 1.0ms (7.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.04235553533056087
1.5443762951682753e-307
Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.760230137892577e-6
0.0014110744712837668
0.0ms
-0.02311302553809865
-0.009037793052439833
Compiler

Compiled 25 to 19 computations (24% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.760230137892577e-6
0.0014110744712837668
0.0ms
-0.02311302553809865
-0.009037793052439833
Compiler

Compiled 25 to 19 computations (24% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.760230137892577e-6
0.0014110744712837668
0.0ms
-0.02311302553809865
-0.009037793052439833
Compiler

Compiled 25 to 19 computations (24% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.760230137892577e-6
0.0014110744712837668
Compiler

Compiled 25 to 19 computations (24% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.986984720005761e-5
9.132872390022812e-5
0.0ms
4.4373615210698555e-57
1.0253389958427119e-49
0.0ms
4.520904166208623e-102
2.688876565098645e-99
0.0ms
-0.12788296750786304
-0.1231795772270541
Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.986984720005761e-5
9.132872390022812e-5
0.0ms
4.4373615210698555e-57
1.0253389958427119e-49
0.0ms
4.520904166208623e-102
2.688876565098645e-99
0.0ms
-0.12788296750786304
-0.1231795772270541
Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.986984720005761e-5
9.132872390022812e-5
0.0ms
4.4373615210698555e-57
1.0253389958427119e-49
0.0ms
4.520904166208623e-102
2.688876565098645e-99
0.0ms
-0.12788296750786304
-0.1231795772270541
Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch44.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
4.772443696123424e+145
5.906396262085776e+145
20.0ms
9.369742983828175e+45
1.069372738313418e+47
10.0ms
5.1801182899466085e-155
6.443167965495762e-155
Results
35.0ms192×0valid
Compiler

Compiled 190 to 154 computations (18.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-sin: 14.0ms (52.1% of total)
ival-sqrt: 4.0ms (14.9% of total)
ival-pow: 4.0ms (14.9% of total)
ival-mult: 3.0ms (11.2% of total)
ival-div: 1.0ms (3.7% of total)
ival-add: 1.0ms (3.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch9.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
5.1801182899466085e-155
6.443167965495762e-155
Results
6.0ms48×0valid
Compiler

Compiled 73 to 55 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sin: 3.0ms (62.1% of total)
ival-pow: 1.0ms (20.7% 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)

bsearch63.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
62.0ms
9.581907519020922e+23
1.3529655087116272e+24
Results
60.0ms64×0valid
Compiler

Compiled 89 to 67 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sin: 5.0ms (61.4% of total)
ival-pow: 1.0ms (12.3% 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)

bsearch11.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
5.1801182899466085e-155
6.443167965495762e-155
Results
9.0ms48×0valid
Compiler

Compiled 70 to 52 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sqrt: 3.0ms (43.3% of total)
ival-sin: 2.0ms (28.9% of total)
ival-pow: 1.0ms (14.4% 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)
backward-pass: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
2.390128656205847e-103
4.520904166208623e-102
Results
15.0ms112×0valid
Compiler

Compiled 123 to 89 computations (27.6% saved)

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

simplify28.0ms (0.2%)

Algorithm
egg-herbie
Rules
12×*-commutative
10×if-if-or-not
if-not
not-or
fabs-div
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01091572
11351549
21411549
31441545
41451545
51481545
Stop Event
saturated
Calls
Call 1
Inputs
(*.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 th #s(literal 7201608886376209/590295810358705651712 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) ky)))
(if (<=.f64 th #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) ky)))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/144115188075855872 binary64)) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th)) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) ky)))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 ky (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 5902958103587057/1180591620717411303424 binary64)) (/.f64 ky (/.f64 (hypot.f64 ky kx) (sin.f64 th))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 ky (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 5902958103587057/1180591620717411303424 binary64)) (/.f64 ky (/.f64 (hypot.f64 ky kx) (sin.f64 th))) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/288230376151711744 binary64)) (fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 5902958103587057/1180591620717411303424 binary64)) (/.f64 ky (/.f64 (hypot.f64 ky kx) (sin.f64 th))) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal 5902958103587057/1180591620717411303424 binary64)) (/.f64 ky (/.f64 (hypot.f64 ky kx) (sin.f64 th))) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(if (<=.f64 (sin.f64 ky) #s(literal -1/8 binary64)) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 6304320991423117/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 (sin.f64 ky) #s(literal 4417117661945961/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (sin.f64 th) (if (<=.f64 (sin.f64 ky) #s(literal 6640827866535439/73786976294838206464 binary64)) (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) (sin.f64 th)))))
(if (<=.f64 (sin.f64 ky) #s(literal -1/8 binary64)) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 6304320991423117/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 (sin.f64 ky) #s(literal 4417117661945961/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (sin.f64 th) (if (<=.f64 (sin.f64 ky) #s(literal 6640827866535439/73786976294838206464 binary64)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th)))))
(if (<=.f64 (sin.f64 ky) #s(literal -1/8 binary64)) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 6304320991423117/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 (sin.f64 ky) #s(literal 4417117661945961/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (sin.f64 th) (if (<=.f64 (sin.f64 ky) #s(literal 6640827866535439/73786976294838206464 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))))
(if (<=.f64 ky #s(literal 7004474260468781/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232 binary64)) (*.f64 ky (/.f64 (sin.f64 th) kx)) (if (<=.f64 ky #s(literal 52000000000000002685632030416995670919915503616 binary64)) (sin.f64 th) (if (<=.f64 ky #s(literal 55999999999999997170739670903239610647263567743780647343858426301808433298633781141885985471662229911281765115285679354157614695408486824651259904 binary64)) (fabs.f64 (sin.f64 th)) (sin.f64 th))))
(if (<=.f64 ky #s(literal 7246007855657359/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232 binary64)) (*.f64 ky (/.f64 (sin.f64 th) kx)) (sin.f64 th))
(if (<=.f64 kx #s(literal 1219999999999999958056960 binary64)) (sin.f64 th) (*.f64 ky (/.f64 th (sin.f64 kx))))
(if (<=.f64 ky #s(literal 6279873474903045/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232 binary64)) (*.f64 ky (/.f64 th kx)) (sin.f64 th))
(if (<=.f64 ky #s(literal 6859101238668351/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 binary64)) (*.f64 ky (/.f64 th kx)) th)
th
Outputs
(*.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 th #s(literal 7201608886376209/590295810358705651712 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) ky)))
(if (<=.f64 th #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) ky)))
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/144115188075855872 binary64)) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) th)) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) ky)))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 ky (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 5902958103587057/1180591620717411303424 binary64)) (/.f64 ky (/.f64 (hypot.f64 ky kx) (sin.f64 th))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 ky (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 5902958103587057/1180591620717411303424 binary64)) (/.f64 ky (/.f64 (hypot.f64 ky kx) (sin.f64 th))) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/288230376151711744 binary64)) (fabs.f64 (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 5902958103587057/1180591620717411303424 binary64)) (/.f64 ky (/.f64 (hypot.f64 ky kx) (sin.f64 th))) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal 5902958103587057/1180591620717411303424 binary64)) (/.f64 ky (/.f64 (hypot.f64 ky kx) (sin.f64 th))) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(if (<=.f64 (sin.f64 ky) #s(literal -1/8 binary64)) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 6304320991423117/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 (sin.f64 ky) #s(literal 4417117661945961/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (sin.f64 th) (if (<=.f64 (sin.f64 ky) #s(literal 6640827866535439/73786976294838206464 binary64)) (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) (sin.f64 th)))))
(if (<=.f64 (sin.f64 ky) #s(literal -1/8 binary64)) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 6304320991423117/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (if (or (<=.f64 (sin.f64 ky) #s(literal 4417117661945961/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (not (<=.f64 (sin.f64 ky) #s(literal 6640827866535439/73786976294838206464 binary64)))) (sin.f64 th) (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 ky) #s(literal -1/8 binary64)) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 6304320991423117/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 (sin.f64 ky) #s(literal 4417117661945961/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (sin.f64 th) (if (<=.f64 (sin.f64 ky) #s(literal 6640827866535439/73786976294838206464 binary64)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th)))))
(if (<=.f64 (sin.f64 ky) #s(literal -1/8 binary64)) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 6304320991423117/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (if (or (<=.f64 (sin.f64 ky) #s(literal 4417117661945961/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (not (<=.f64 (sin.f64 ky) #s(literal 6640827866535439/73786976294838206464 binary64)))) (sin.f64 th) (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))))
(if (<=.f64 (sin.f64 ky) #s(literal -1/8 binary64)) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 6304320991423117/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 (sin.f64 ky) #s(literal 4417117661945961/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (sin.f64 th) (if (<=.f64 (sin.f64 ky) #s(literal 6640827866535439/73786976294838206464 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))))
(if (<=.f64 (sin.f64 ky) #s(literal -1/8 binary64)) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 6304320991423117/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (if (or (<=.f64 (sin.f64 ky) #s(literal 4417117661945961/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (not (<=.f64 (sin.f64 ky) #s(literal 6640827866535439/73786976294838206464 binary64)))) (sin.f64 th) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))))
(if (<=.f64 (sin.f64 ky) #s(literal -1/8 binary64)) (fabs.f64 (sin.f64 th)) (if (or (<=.f64 (sin.f64 ky) #s(literal 6304320991423117/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112 binary64)) (not (or (<=.f64 (sin.f64 ky) #s(literal 4417117661945961/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (not (<=.f64 (sin.f64 ky) #s(literal 6640827866535439/73786976294838206464 binary64)))))) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -1/8 binary64)) (fabs.f64 (sin.f64 th)) (if (or (<=.f64 (sin.f64 ky) #s(literal 6304320991423117/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112 binary64)) (and (not (<=.f64 (sin.f64 ky) #s(literal 4417117661945961/883423532389192164791648750371459257913741948437809479060803100646309888 binary64))) (<=.f64 (sin.f64 ky) #s(literal 6640827866535439/73786976294838206464 binary64)))) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 ky #s(literal 7004474260468781/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232 binary64)) (*.f64 ky (/.f64 (sin.f64 th) kx)) (if (<=.f64 ky #s(literal 52000000000000002685632030416995670919915503616 binary64)) (sin.f64 th) (if (<=.f64 ky #s(literal 55999999999999997170739670903239610647263567743780647343858426301808433298633781141885985471662229911281765115285679354157614695408486824651259904 binary64)) (fabs.f64 (sin.f64 th)) (sin.f64 th))))
(if (<=.f64 ky #s(literal 7004474260468781/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232 binary64)) (*.f64 ky (/.f64 (sin.f64 th) kx)) (if (or (<=.f64 ky #s(literal 52000000000000002685632030416995670919915503616 binary64)) (not (<=.f64 ky #s(literal 55999999999999997170739670903239610647263567743780647343858426301808433298633781141885985471662229911281765115285679354157614695408486824651259904 binary64)))) (sin.f64 th) (fabs.f64 (sin.f64 th))))
(if (<=.f64 ky #s(literal 7246007855657359/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232 binary64)) (*.f64 ky (/.f64 (sin.f64 th) kx)) (sin.f64 th))
(if (<=.f64 kx #s(literal 1219999999999999958056960 binary64)) (sin.f64 th) (*.f64 ky (/.f64 th (sin.f64 kx))))
(if (<=.f64 ky #s(literal 6279873474903045/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232 binary64)) (*.f64 ky (/.f64 th kx)) (sin.f64 th))
(if (<=.f64 ky #s(literal 6859101238668351/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 binary64)) (*.f64 ky (/.f64 th kx)) th)
th

soundness2.2s (15.4%)

Rules
1203×log1p-expm1-u
1042×log1p-expm1-u
968×fma-define
918×fma-define
888×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0161538594
1466438146
0122326493
1336125511
084024259
1212222959
2716322959
0101934079
1291932497
023256
1341256
23880256
028322
1463322
26717322
025260
1365260
24973260
053717
1111529
2240529
3420529
4940529
52219529
63233529
73758529
84126529
94217529
104256529
114256529
025317
1377317
24464317
Stop Event
fuel
node limit
saturated
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1386 to 600 computations (56.7% saved)

preprocess114.0ms (0.8%)

Remove

(negabs th)

(negabs ky)

(abs kx)

Compiler

Compiled 1084 to 452 computations (58.3% saved)

end0.0ms (0%)

Profiling

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