Toniolo and Linder, Equation (3b), real

Time bar (total: 13.6s)

analyze246.0ms (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 18 to 15 computations (16.7% saved)

sample2.6s (19.1%)

Results
2.3s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.5s
ival-sin: 993.0ms (64.5% of total)
ival-pow: 237.0ms (15.4% of total)
ival-div: 100.0ms (6.5% of total)
ival-sqrt: 74.0ms (4.8% of total)
ival-mult: 61.0ms (4% of total)
ival-add: 48.0ms (3.1% of total)
ival-true: 12.0ms (0.8% of total)
ival-assert: 9.0ms (0.6% of total)
const: 8.0ms (0.5% of total)
Bogosity

preprocess852.0ms (6.3%)

Algorithm
egg-herbie
Rules
968×fma-define
307×fmm-def
183×unsub-neg
181×times-frac
171×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053717
1111529
2240529
3420529
4939529
52219529
63228529
73753529
84121529
94212529
104251529
114251529
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)

explain304.0ms (2.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
180-2(5.014174043108044e-161 3.2315791670450966e-282 1.4539844698059336e-123)(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
00-0-(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
00-0-(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
00-0-(sin.f64 kx)
00-0-(sin.f64 th)
00-0-(pow.f64 (sin.f64 kx) #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
00-0-#s(literal 2 binary64)
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-(sin.f64 ky)
00-0-ky
00-0-kx
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))uflow-rescue160
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))underflow59
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))underflow62
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))underflow16
Confusion
Predicted +Predicted -
+162
-0238
Precision
1.0
Recall
0.8888888888888888
Confusion?
Predicted +Predicted MaybePredicted -
+1602
-00238
Precision?
1.0
Recall?
0.8888888888888888
Freqs
test
numberfreq
0240
116
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Results
181.0ms512×0valid
Compiler

Compiled 174 to 56 computations (67.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 120.0ms
ival-sin: 93.0ms (77.6% of total)
ival-pow: 11.0ms (9.2% of total)
ival-mult: 4.0ms (3.3% of total)
ival-sqrt: 4.0ms (3.3% of total)
ival-div: 3.0ms (2.5% of total)
ival-add: 3.0ms (2.5% of total)
ival-assert: 1.0ms (0.8% of total)
ival-true: 1.0ms (0.8% of total)
const: 1.0ms (0.8% of total)

eval0.0ms (0%)

Compiler

Compiled 14 to 9 computations (35.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
93.2%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
99.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
Compiler

Compiled 33 to 22 computations (33.3% saved)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize86.0ms (0.6%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
accuracy99.6%
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
accuracy99.6%
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
accuracy93.5%
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
accuracy100.0%
(sin.f64 kx)
accuracy99.9%
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
accuracy99.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
accuracy99.6%
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
Results
64.0ms256×0valid
Compiler

Compiled 101 to 18 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-sin: 18.0ms (45.2% of total)
ival-pow: 6.0ms (15.1% of total)
ival-mult: 4.0ms (10.1% of total)
ival-hypot: 4.0ms (10.1% of total)
ival-div: 3.0ms (7.5% of total)
ival-sqrt: 3.0ms (7.5% of total)
ival-add: 1.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
const: 0.0ms (0% of total)

series282.0ms (2.1%)

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

60 calls:

TimeVariablePointExpression
233.0ms
ky
@inf
(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
3.0ms
ky
@0
(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
3.0ms
th
@inf
(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))
3.0ms
ky
@-inf
(/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
2.0ms
kx
@inf
(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))

rewrite280.0ms (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))))
(sin.f64 ky)
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin.f64 th)
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) #s(literal 1 binary64))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 1 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 ky))) #s(literal 1 binary64))
(*.f64 (sin.f64 ky) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 ky))
(*.f64 (cbrt.f64 (sin.f64 ky)) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 ky)))
(*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 ky)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))))
(pow.f64 (sin.f64 ky) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(fabs.f64 (sin.f64 ky))
(log.f64 (exp.f64 (sin.f64 ky)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 ky))))
(cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 ky)))
(log1p.f64 (expm1.f64 (sin.f64 ky)))
(exp.f64 (log.f64 (sin.f64 ky)))
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 1 binary64))
(*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sqrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sqrt.f64 (sin.f64 th)) (*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sin.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal -1 binary64))
(neg.f64 (/.f64 (sin.f64 th) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(*.f64 (sin.f64 th) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 th))
(*.f64 (cbrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 th)))
(*.f64 (sqrt.f64 (sin.f64 th)) (sqrt.f64 (sin.f64 th)))
(pow.f64 (sin.f64 th) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(exp.f64 (*.f64 (log.f64 (sin.f64 th)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) #s(literal 1 binary64))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
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(*.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 ky)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky ky)) (cos.f64 (+.f64 ky ky))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))) #s(literal 1 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sin.f64 kx) (sin.f64 kx))
(*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (sin.f64 kx)) (sin.f64 kx)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sin.f64 kx)) (*.f64 (sqrt.f64 (sin.f64 kx)) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 kx) (sqrt.f64 (sin.f64 kx))) (sqrt.f64 (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 kx) (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (cbrt.f64 (sin.f64 kx)))
(/.f64 (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1 binary64)))

simplify348.0ms (2.6%)

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

Useful iterations: 1 (0.0ms)

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

eval79.0ms (0.6%)

Compiler

Compiled 14206 to 2540 computations (82.1% saved)

prune99.0ms (0.7%)

Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New55122573
Fresh000
Picked112
Done000
Total55223575
Accuracy
100.0%
Counts
575 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 3 binary64))
26.4%
(/.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)))
99.6%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
95.8%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
99.5%
(*.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 th))
99.6%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
84.0%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sin.f64 th))
85.6%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
31.8%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
29.1%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
21.8%
(*.f64 (+.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))))) (sin.f64 th))
45.7%
(*.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))))))
99.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
59.3%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
52.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
28.8%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
31.8%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
99.5%
(*.f64 (sin.f64 ky) (/.f64 (expm1.f64 (log1p.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
50.7%
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
99.4%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
29.2%
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
28.9%
(sin.f64 th)
Compiler

Compiled 642 to 443 computations (31% saved)

simplify319.0ms (2.3%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
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-diff6464
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1 binary64))
cost-diff6464
(*.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 th))
cost-diff0
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
cost-diff0
(pow.f64 kx #s(literal 2 binary64))
cost-diff0
(/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
cost-diff0
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
cost-diff0
(sin.f64 th)
cost-diff0
(/.f64 (sin.f64 th) (sin.f64 ky))
cost-diff0
(sin.f64 ky)
cost-diff13056
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
cost-diff0
(sin.f64 th)
cost-diff0
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
cost-diff0
(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))
Rules
966×associate-/l*
935×associate-/l/
711×associate-/r*
688×times-frac
681×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031590
154582
290582
3164582
4388582
51202582
63141582
73771582
83962582
94002582
104004582
114004582
124378582
134407582
144410582
154410582
164460582
174505582
184520582
195523582
206886582
217148582
227311582
237542582
247889582
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin.f64 ky)
ky
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
kx
(sin.f64 th)
th
(sin.f64 th)
th
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(sin.f64 ky)
ky
(/.f64 (sin.f64 th) (sin.f64 ky))
(sin.f64 th)
th
(*.f64 (+.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))))) (sin.f64 th))
(+.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)))))
#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))))
#s(literal -1/2 binary64)
(/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(pow.f64 kx #s(literal 2 binary64))
kx
#s(literal 2 binary64)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin.f64 ky)
ky
(sin.f64 th)
th
(*.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 th))
(pow.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)) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 ky)
ky
(sin.f64 kx)
kx
#s(literal -1 binary64)
(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 th) (/.f64 (sin.f64 ky) (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
(sin.f64 th)
th
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(sin.f64 th)
(sin.f64 ky)
ky
(/.f64 (sin.f64 th) (sin.f64 ky))
(sin.f64 th)
th
(*.f64 (+.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))))) (sin.f64 th))
(*.f64 (sin.f64 th) (+.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 (sin.f64 th) (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 #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))
#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 (*.f64 #s(literal -1/2 binary64) (pow.f64 kx #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(pow.f64 kx #s(literal 2 binary64))
kx
#s(literal 2 binary64)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin.f64 ky)
ky
(sin.f64 th)
th
(*.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 th))
(*.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 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1 binary64))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.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
#s(literal -1 binary64)
(sin.f64 th)
th

localize143.0ms (1%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
accuracy99.8%
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
accuracy99.7%
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1 binary64))
accuracy99.7%
(*.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 th))
accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
accuracy99.6%
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
accuracy94.4%
(*.f64 (+.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))))) (sin.f64 th))
accuracy86.6%
(/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
accuracy100.0%
(sin.f64 th)
accuracy100.0%
(sin.f64 ky)
accuracy99.7%
(/.f64 (sin.f64 th) (sin.f64 ky))
accuracy99.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
accuracy100.0%
(sin.f64 th)
accuracy100.0%
(sin.f64 kx)
accuracy99.9%
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
accuracy99.8%
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
accuracy99.7%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
Results
91.0ms256×0valid
Compiler

Compiled 165 to 26 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-sin: 17.0ms (33.9% of total)
ival-mult: 10.0ms (19.9% of total)
ival-pow: 10.0ms (19.9% of total)
ival-div: 6.0ms (12% of total)
ival-hypot: 4.0ms (8% of total)
ival-add: 1.0ms (2% of total)
const: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series44.0ms (0.3%)

Counts
11 → 220
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))>
#<alt (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))>
#<alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))>
#<alt (/.f64 (sin.f64 th) (sin.f64 ky))>
#<alt (*.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 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))>
#<alt (pow.f64 kx #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 th))>
#<alt (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1 binary64))>
#<alt (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))>
#<alt (*.f64 (+.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))))) (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))))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (*.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (sin.f64 th)>
#<alt (+.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (+.f64 (sin.f64 th) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))))>
#<alt (+.f64 (sin.f64 th) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))>
#<alt (*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))>
#<alt (*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (/.f64 ky (sin.f64 kx))>
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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))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (sin.f64 th)>
#<alt (+.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (+.f64 (sin.f64 th) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))))>
#<alt (+.f64 (sin.f64 th) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))>
#<alt (*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))>
#<alt (*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (/.f64 ky (sin.f64 kx))>
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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 1/2 binary64) (*.f64 (sin.f64 kx) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))))) (*.f64 #s(literal -1/12 binary64) (*.f64 (sin.f64 kx) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (*.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (*.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))))))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))>
#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt #s(literal 1 binary64)>
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#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
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#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(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)>
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#<alt (sin.f64 th)>
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#<alt (*.f64 (sin.f64 th) (+.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 (sin.f64 th) (+.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 (sin.f64 th) (+.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 (sin.f64 th) (+.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 (sin.f64 th) (+.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 (sin.f64 th) (+.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 (sin.f64 th) (+.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 (sin.f64 th) (+.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))))))>
Calls

72 calls:

TimeVariablePointExpression
2.0ms
th
@0
(* (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) (sin th))
2.0ms
ky
@0
(/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
2.0ms
ky
@0
(/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))
2.0ms
ky
@inf
(* (pow (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) -1) (sin th))
1.0ms
th
@inf
(* (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) (sin th))

rewrite215.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
868×log1p-expm1-u
586×prod-diff
185×expm1-log1p-u
183×pow1
181×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031379
1457357
25501357
Stop Event
node limit
Counts
11 → 332
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(pow.f64 kx #s(literal 2 binary64))
(*.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 th))
(pow.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)) (sin.f64 ky))
(*.f64 (+.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))))) (sin.f64 th))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))) #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 (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 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 th) (/.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 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #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 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (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))))
(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))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) #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) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.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)) (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 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #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 (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) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sin.f64 ky) (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 ky) (sqrt.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 #s(literal 1 binary64) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (sin.f64 ky)))
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #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 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 2 binary64)) #s(literal -1/2 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))
(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 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #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 (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 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))))) #s(literal 1 binary64))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))) (neg.f64 (sin.f64 ky)))
(/.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 ky)) (neg.f64 (sin.f64 ky)))
(/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 1 binary64)) (sin.f64 ky))
(/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 ky)))
(/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 ky))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))) #s(literal 1 binary64))
(*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sin.f64 th)) (sin.f64 ky)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 th) (sin.f64 ky))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sqrt.f64 (sin.f64 th)) (sin.f64 ky)))
(*.f64 (sqrt.f64 (sin.f64 th)) (*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (/.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 ky))) (/.f64 (sin.f64 th) (sqrt.f64 (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)) (sin.f64 ky)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (sqrt.f64 (sin.f64 ky))) (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 (sin.f64 ky))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 th)) (sin.f64 ky)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 (sin.f64 ky))))
(pow.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 3 binary64))
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(/.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 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.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 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.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) #s(literal 1 binary64)) (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) (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 #s(literal 1 binary64) (cbrt.f64 (pow.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))))
(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 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #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 (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 (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 (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 ky)))
(*.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 ky))))
(*.f64 (cbrt.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 2 binary64))))
(*.f64 (cbrt.f64 (pow.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 (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 ky)))
(*.f64 (/.f64 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 ky))) (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 (/.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))
(neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 ky))))
(neg.f64 (/.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (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 (sin.f64 th) (*.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))))
(+.f64 (sin.f64 th) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))) (sin.f64 th)))
(+.f64 (*.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))) (sin.f64 th)) (sin.f64 th))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 kx #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 kx #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) #s(literal 1/4 binary64))) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))))
(pow.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))

simplify253.0ms (1.9%)

Algorithm
egg-herbie
Rules
815×associate-*r*
752×associate-*l*
629×fma-define
436×distribute-lft-in
435×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0100131151
1266829601
Stop Event
node limit
Counts
552 → 489
Calls
Call 1
Inputs
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (*.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(sin.f64 th)
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(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
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(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.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 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/.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))))
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(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(literal 1 binary64)
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(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
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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))))))
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
th
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
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(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(/.f64 th (sin.f64 ky))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
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(/.f64 (sin.f64 th) ky)
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(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #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))))))
(/.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)))))
(*.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)))))
(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 #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 #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 #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 (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 (sin.f64 th) (pow.f64 kx #s(literal 2 binary64)))))
(*.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 (sin.f64 th) (pow.f64 kx #s(literal 2 binary64)))))
(*.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 (sin.f64 th) (pow.f64 kx #s(literal 2 binary64)))))
(*.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 (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 (sin.f64 th) (pow.f64 kx #s(literal 2 binary64)))))
(*.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 (sin.f64 th) (pow.f64 kx #s(literal 2 binary64)))))
(*.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 (sin.f64 th) (pow.f64 kx #s(literal 2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 ky #s(literal 2 binary64))))
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(*.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #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 (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) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sin.f64 ky) (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 ky) (sqrt.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 #s(literal 1 binary64) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (sin.f64 ky)))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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)) (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 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.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 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.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) #s(literal 1 binary64)) (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) (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 #s(literal 1 binary64) (cbrt.f64 (pow.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))))
(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 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #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 (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 (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 (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 ky)))
(*.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 ky))))
(*.f64 (cbrt.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 2 binary64))))
(*.f64 (cbrt.f64 (pow.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 (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 ky)))
(*.f64 (/.f64 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 ky))) (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 (/.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))
(neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 ky))))
(neg.f64 (/.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (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 (sin.f64 th) (*.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))))
(+.f64 (sin.f64 th) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))) (sin.f64 th)))
(+.f64 (*.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))) (sin.f64 th)) (sin.f64 th))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 kx #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 kx #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) #s(literal 1/4 binary64))) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))))
(pow.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
Outputs
(/.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 (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))))
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(/.f64 ky (sin.f64 kx))
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#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) (pow.f64 (/.f64 kx (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)))))))
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(fma.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.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))))) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1 binary64))
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(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
th
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
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(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(/.f64 th (sin.f64 ky))
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(/.f64 ky (sin.f64 kx))
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#s(literal 1 binary64)
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(fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 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)
(/.f64 (+.f64 (sin.f64 kx) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (sin.f64 kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))))) ky)
(/.f64 (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (sin.f64 kx) #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx)) ky)
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(/.f64 (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (sin.f64 kx) #s(literal 1/6 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)))) (sin.f64 kx)) (fma.f64 (sin.f64 kx) #s(literal 7/360 binary64) (/.f64 #s(literal 1/12 binary64) (sin.f64 kx)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))) (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)
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(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
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(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
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(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
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(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
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(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
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(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
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(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
#s(literal 1 binary64)
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(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (sin.f64 th) (+.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 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))

eval135.0ms (1%)

Compiler

Compiled 19843 to 3512 computations (82.3% saved)

prune166.0ms (1.2%)

Pruning

45 alts after pruning (42 fresh and 3 done)

PrunedKeptTotal
New92528953
Fresh31417
Picked325
Done011
Total93145976
Accuracy
100.0%
Counts
976 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.5%
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
97.9%
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) #s(literal 3 binary64))
28.4%
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
35.0%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
26.4%
(/.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)))
99.6%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
95.8%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
35.0%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
25.8%
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
28.3%
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 th)))
99.5%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th))
99.6%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
50.7%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
59.3%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
52.6%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
84.0%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sin.f64 th))
85.6%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
31.8%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
29.1%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th))
25.1%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
45.7%
(*.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))))))
17.3%
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) ky))
99.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
52.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
31.8%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
45.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))
17.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
50.7%
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
14.9%
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
99.4%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
12.3%
(*.f64 th (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))
14.8%
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
17.3%
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
29.2%
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
26.9%
(sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))
28.9%
(sin.f64 th)
28.8%
(log1p.f64 (expm1.f64 (sin.f64 th)))
25.8%
(log.f64 (exp.f64 (sin.f64 th)))
26.2%
(fabs.f64 (sin.f64 th))
28.9%
(expm1.f64 (log1p.f64 (sin.f64 th)))
20.7%
(exp.f64 (log.f64 (sin.f64 th)))
28.7%
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
15.0%
th
Compiler

Compiled 1055 to 760 computations (28% saved)

simplify79.0ms (0.6%)

Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
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))) th)
cost-diff0
(sin.f64 th)
cost-diff0
(sin.f64 ky)
cost-diff0
(*.f64 (sin.f64 ky) (sin.f64 th))
cost-diff13056
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
cost-diff0
(sin.f64 th)
cost-diff0
(log1p.f64 (sin.f64 th))
cost-diff12800
(expm1.f64 (log1p.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)))
Rules
898×fmm-def
621×sub-neg
438×div-sub
425×times-frac
371×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022353
139353
261353
375353
481353
5247353
61064353
74416353
87804353
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(sin.f64 th)
th
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 ky)
ky
(sin.f64 kx)
kx
th
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log1p.f64 (sin.f64 th))
(sin.f64 th)
th
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sin.f64 th))
(sin.f64 ky)
ky
(sin.f64 th)
th
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 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
th
Outputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (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
th
(expm1.f64 (log1p.f64 (sin.f64 th)))
(sin.f64 th)
(log1p.f64 (sin.f64 th))
(sin.f64 th)
th
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(sin.f64 th)
(*.f64 (sin.f64 ky) (sin.f64 th))
(*.f64 (sin.f64 th) (sin.f64 ky))
(sin.f64 ky)
ky
(sin.f64 th)
th
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(*.f64 th (/.f64 (sin.f64 ky) (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
th

localize96.0ms (0.7%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 kx)
accuracy99.9%
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
accuracy99.8%
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
accuracy99.8%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
accuracy100.0%
(sin.f64 th)
accuracy100.0%
(sin.f64 ky)
accuracy99.7%
(*.f64 (sin.f64 ky) (sin.f64 th))
accuracy89.0%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
accuracy100.0%
(sin.f64 th)
accuracy99.8%
(expm1.f64 (log1p.f64 (sin.f64 th)))
accuracy99.5%
(log1p.f64 (sin.f64 th))
accuracy100.0%
(sin.f64 kx)
accuracy99.9%
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
accuracy99.8%
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
accuracy99.7%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
Results
72.0ms256×0valid
Compiler

Compiled 95 to 17 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-sin: 23.0ms (55% of total)
ival-div: 6.0ms (14.3% of total)
ival-mult: 4.0ms (9.6% of total)
ival-hypot: 4.0ms (9.6% of total)
ival-log1p: 3.0ms (7.2% of total)
ival-expm1: 2.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series79.0ms (0.6%)

Counts
6 → 128
Calls
Call 1
Inputs
#<alt (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))>
#<alt (expm1.f64 (log1p.f64 (sin.f64 th)))>
#<alt (log1p.f64 (sin.f64 th))>
#<alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))>
#<alt (*.f64 (sin.f64 ky) (sin.f64 th))>
#<alt (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)>
Outputs
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))>
#<alt (*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))>
#<alt (*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (*.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (sin.f64 th)>
#<alt (+.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (+.f64 (sin.f64 th) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))))>
#<alt (+.f64 (sin.f64 th) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt 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 th>
#<alt (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) th)))>
#<alt (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 th (-.f64 (*.f64 #s(literal 1/6 binary64) th) #s(literal 1/2 binary64)))))>
#<alt (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 th (-.f64 (*.f64 th (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/12 binary64) th))) #s(literal 1/2 binary64)))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (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 (sin.f64 th)>
#<alt (sin.f64 th)>
#<alt (sin.f64 th)>
#<alt (sin.f64 th)>
#<alt (sin.f64 th)>
#<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 (*.f64 ky (sin.f64 th))>
#<alt (*.f64 ky (+.f64 (sin.f64 th) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th)))))>
#<alt (*.f64 ky (+.f64 (sin.f64 th) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th)))))))>
#<alt (*.f64 ky (+.f64 (sin.f64 th) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th))) (*.f64 #s(literal 1/120 binary64) (sin.f64 th))))))))>
#<alt (*.f64 th (sin.f64 ky))>
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#<alt (*.f64 th (+.f64 (sin.f64 ky) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)))))))>
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#<alt (/.f64 (*.f64 ky th) (sin.f64 kx))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 th (sin.f64 kx))))) (/.f64 th (sin.f64 kx))))>
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#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 th (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 th (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 th (*.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 #s(literal -1/2 binary64) (*.f64 th (*.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 (*.f64 #s(literal -1/12 binary64) (*.f64 th (*.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 -1/240 binary64) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/5040 binary64) (/.f64 th (sin.f64 kx)))))))))))))) (/.f64 th (sin.f64 kx))))>
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt th>
#<alt (+.f64 th (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (+.f64 th (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 th (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))))>
#<alt (+.f64 th (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 th (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 th (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))))>
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
Calls

36 calls:

TimeVariablePointExpression
44.0ms
th
@inf
(log (+ 1 (sin th)))
14.0ms
th
@-inf
(log (+ 1 (sin th)))
2.0ms
ky
@0
(* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) th)
1.0ms
th
@0
(* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) th)
1.0ms
kx
@0
(* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) th)

rewrite163.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1092×log1p-expm1-u
567×expm1-log1p-u
453×prod-diff
142×add-exp-log
142×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022165
1315165
24393165
Stop Event
node limit
Counts
6 → 180
Calls
Call 1
Inputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log1p.f64 (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) #s(literal 1 binary64))
(-.f64 (/.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (/.f64 (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))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (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 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (sqrt.f64 (sin.f64 th)) (*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(*.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 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 (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) (cbrt.f64 (pow.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 (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)) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (/.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)) (cbrt.f64 (pow.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 (sin.f64 th) (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 (*.f64 (sin.f64 th) (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 (*.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 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.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 th) (/.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)) (*.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 th) (/.f64 (sin.f64 ky) (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 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (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 (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 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 1 binary64)))
(+.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #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)))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) (+.f64 (sin.f64 th) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) (+.f64 (sin.f64 th) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (sin.f64 th) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 th))))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(sin.f64 th)
(log1p.f64 (expm1.f64 (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(exp.f64 (*.f64 (log.f64 (sin.f64 th)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (sin.f64 th)))) #s(literal 1 binary64))
(*.f64 (log1p.f64 (sin.f64 th)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (sin.f64 th)))
(*.f64 (cbrt.f64 (log1p.f64 (sin.f64 th))) (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 th))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 th))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (sin.f64 th))))
(*.f64 (sqrt.f64 (log1p.f64 (sin.f64 th))) (sqrt.f64 (log1p.f64 (sin.f64 th))))
(pow.f64 (log1p.f64 (sin.f64 th)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 th))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (sin.f64 th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (sin.f64 th))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (sin.f64 th)) #s(literal 2 binary64)))
(log.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 th)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (sin.f64 th))))
(exp.f64 (log.f64 (log1p.f64 (sin.f64 th))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky))))) #s(literal 1 binary64))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (sin.f64 ky)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky)))) (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky)))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (sin.f64 ky)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (*.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (cbrt.f64 (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 ky))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 ky))) (/.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (sin.f64 ky) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (/.f64 (sin.f64 ky) (cbrt.f64 (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 ky))) (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 ky))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (sin.f64 ky)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 2 binary64)) (sqrt.f64 (sin.f64 ky))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (sin.f64 ky))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (sin.f64 ky)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (cbrt.f64 (sin.f64 ky))))
(pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 th)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (neg.f64 (sin.f64 ky))))
(neg.f64 (/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (sin.f64 ky)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))) #s(literal 1 binary64))
(-.f64 (/.f64 (cos.f64 (-.f64 ky th)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 th ky)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))) #s(literal -2 binary64))
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (sin.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (sin.f64 ky))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (sin.f64 ky))))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) #s(literal 1 binary64))
(/.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 th (sin.f64 ky))))
(/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (neg.f64 (*.f64 th (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 th (neg.f64 (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) th) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (/.f64 (*.f64 th (sin.f64 ky)) #s(literal 1 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (/.f64 (*.f64 th (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 (*.f64 th (sin.f64 ky)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(pow.f64 (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 th (/.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 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(cbrt.f64 (pow.f64 (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.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 th #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(log1p.f64 (expm1.f64 (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (log.f64 (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (*.f64 (log.f64 (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 1 binary64)))

simplify327.0ms (2.4%)

Algorithm
egg-herbie
Rules
541×fma-define
414×*-commutative
287×distribute-lft-in
285×distribute-rgt-in
264×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
067215706
1181715340
2585313278
Stop Event
node limit
Counts
308 → 298
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))))
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(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
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(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
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(sin.f64 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)))))
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(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #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))))))
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)
th
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) th)))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 th (-.f64 (*.f64 #s(literal 1/6 binary64) th) #s(literal 1/2 binary64)))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 th (-.f64 (*.f64 th (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/12 binary64) th))) #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)))
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
th
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(*.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)
(*.f64 ky (sin.f64 th))
(*.f64 ky (+.f64 (sin.f64 th) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th)))))
(*.f64 ky (+.f64 (sin.f64 th) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th)))))))
(*.f64 ky (+.f64 (sin.f64 th) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th))) (*.f64 #s(literal 1/120 binary64) (sin.f64 th))))))))
(*.f64 th (sin.f64 ky))
(*.f64 th (+.f64 (sin.f64 ky) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)))))
(*.f64 th (+.f64 (sin.f64 ky) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)))))))
(*.f64 th (+.f64 (sin.f64 ky) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky))) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky))))))))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 th (sin.f64 kx))))) (/.f64 th (sin.f64 kx))))
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(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.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 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
th
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(+.f64 th (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 th (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))))
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(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (sin.f64 ky)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky)))) (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky)))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (sin.f64 ky)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (*.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (cbrt.f64 (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 ky))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 ky))) (/.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (sin.f64 ky) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (/.f64 (sin.f64 ky) (cbrt.f64 (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 ky))) (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 ky))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (sin.f64 ky)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 2 binary64)) (sqrt.f64 (sin.f64 ky))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (sin.f64 ky))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (sin.f64 ky)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (cbrt.f64 (sin.f64 ky))))
(pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 th)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (neg.f64 (sin.f64 ky))))
(neg.f64 (/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (sin.f64 ky)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 ky)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))) #s(literal 1 binary64))
(-.f64 (/.f64 (cos.f64 (-.f64 ky th)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 th ky)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))) #s(literal -2 binary64))
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (sin.f64 th)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (sin.f64 ky))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (sin.f64 ky))))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) #s(literal 1 binary64))
(/.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 th (sin.f64 ky))))
(/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (neg.f64 (*.f64 th (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 th (neg.f64 (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) th) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (/.f64 (*.f64 th (sin.f64 ky)) #s(literal 1 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (/.f64 (*.f64 th (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 (*.f64 th (sin.f64 ky)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(pow.f64 (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 th (/.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 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(cbrt.f64 (pow.f64 (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.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 th #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(log1p.f64 (expm1.f64 (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (log.f64 (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (*.f64 (log.f64 (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 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 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 6 binary64))))))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 6 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))
(*.f64 th (fma.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))) #s(literal 1/120 binary64))))))
(*.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(*.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 6 binary64)))) (*.f64 (sin.f64 ky) (fma.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 6 binary64)))))))
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))))
(*.f64 th (fma.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 ky) #s(literal 1/120 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))))
(*.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(*.f64 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 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 6 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 6 binary64)))) (*.f64 (sin.f64 ky) (fma.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 6 binary64)))))))
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(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
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(sin.f64 th)
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th
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(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
th
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(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)))
(log1p.f64 (sin.f64 th))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)))
(log1p.f64 (sin.f64 th))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)))
(log1p.f64 (sin.f64 th))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)))
(log1p.f64 (sin.f64 th))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)))
(log1p.f64 (sin.f64 th))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)))
(log1p.f64 (sin.f64 th))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)))
(log1p.f64 (sin.f64 th))
(log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)))
(log1p.f64 (sin.f64 th))
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
th
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(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
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(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
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(/.f64 (*.f64 ky th) (sin.f64 kx))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 th (/.f64 ky (sin.f64 kx)))
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(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (/.f64 th (sin.f64 kx)))) (/.f64 th (sin.f64 kx))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 th (sin.f64 kx)) (/.f64 (*.f64 th #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 th (sin.f64 kx))))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 th (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 th (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 th (*.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 th (sin.f64 kx))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 th (sin.f64 kx)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (/.f64 th (sin.f64 kx)) (fma.f64 #s(literal 1/12 binary64) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 th (*.f64 (sin.f64 kx) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))) (/.f64 th (sin.f64 kx))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.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 th (sin.f64 kx)) (fma.f64 #s(literal 1/12 binary64) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 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))))) (*.f64 th #s(literal 1/2 binary64))))) (*.f64 #s(literal -1/6 binary64) (/.f64 th (sin.f64 kx))))) (/.f64 th (sin.f64 kx))))
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th
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(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.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 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 6 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
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(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(*.f64 (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(sqrt.f64 (pow.f64 (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(log.f64 (pow.f64 (exp.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(cbrt.f64 (pow.f64 (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(cbrt.f64 (*.f64 (pow.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 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)) (pow.f64 th #s(literal 3 binary64))))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(expm1.f64 (log1p.f64 (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(log1p.f64 (expm1.f64 (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(exp.f64 (log.f64 (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(exp.f64 (*.f64 (log.f64 (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 1 binary64)))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

eval170.0ms (1.3%)

Compiler

Compiled 15628 to 2551 computations (83.7% saved)

prune202.0ms (1.5%)

Pruning

62 alts after pruning (55 fresh and 7 done)

PrunedKeptTotal
New75628784
Fresh102737
Picked145
Done033
Total76762829
Accuracy
100.0%
Counts
829 → 62
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.5%
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
49.9%
(pow.f64 (cbrt.f64 (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 3 binary64))
28.4%
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
12.2%
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 2 binary64)) (sin.f64 ky))
25.7%
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) (+.f64 (sin.f64 th) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64)))
51.8%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 ky)))
23.8%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
21.1%
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
35.0%
(/.f64 (*.f64 (expm1.f64 (log1p.f64 (sin.f64 ky))) (sin.f64 th)) (sin.f64 ky))
47.2%
(/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
23.5%
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
15.6%
(/.f64 (*.f64 ky th) (sin.f64 kx))
99.6%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
59.3%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
52.6%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
29.1%
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
99.5%
(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
99.6%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
50.7%
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
95.8%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
35.0%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
25.8%
(-.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64))
28.3%
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 th)))
99.6%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
50.7%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
50.8%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (sin.f64 kx))))) th)
33.9%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
52.6%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
27.7%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
84.0%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sin.f64 th))
85.6%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
31.8%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
50.7%
(*.f64 (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
29.1%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
18.3%
(*.f64 (/.f64 ky (sin.f64 kx)) th)
99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th))
25.1%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
50.7%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) th)
17.3%
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) ky))
99.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
52.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
31.8%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
45.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))
17.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
14.9%
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
99.4%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
29.2%
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
18.3%
(*.f64 ky (/.f64 th (sin.f64 kx)))
26.9%
(sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))
28.9%
(sin.f64 th)
28.8%
(log1p.f64 (expm1.f64 (sin.f64 th)))
25.8%
(log.f64 (exp.f64 (sin.f64 th)))
26.2%
(fabs.f64 (sin.f64 th))
21.7%
(expm1.f64 (-.f64 (exp.f64 (log1p.f64 (log1p.f64 (sin.f64 th)))) #s(literal 1 binary64)))
17.5%
(expm1.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 th #s(literal -1/2 binary64)))))
28.9%
(expm1.f64 (log1p.f64 (sin.f64 th)))
26.1%
(expm1.f64 (log1p.f64 (fabs.f64 (sin.f64 th))))
25.8%
(expm1.f64 (log.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64))))
28.7%
(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 th)) #s(literal 3 binary64))))
20.7%
(exp.f64 (log.f64 (sin.f64 th)))
28.7%
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
15.0%
th
Compiler

Compiled 1401 to 990 computations (29.3% saved)

simplify340.0ms (2.5%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(hypot.f64 (sin.f64 ky) kx)
cost-diff0
(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))
cost-diff0
(sin.f64 th)
cost-diff0
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
cost-diff0
(*.f64 (sin.f64 ky) (sin.f64 th))
cost-diff0
(sin.f64 ky)
cost-diff12928
(/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th)))
cost-diff13184
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
cost-diff0
(sin.f64 th)
cost-diff0
(sin.f64 ky)
cost-diff0
(*.f64 (sin.f64 ky) (sin.f64 th))
cost-diff0
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
cost-diff0
(sin.f64 kx)
cost-diff0
(/.f64 th (sin.f64 kx))
cost-diff0
(*.f64 ky (/.f64 th (sin.f64 kx)))
cost-diff0
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
cost-diff0
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
cost-diff0
(sin.f64 ky)
cost-diff0
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
Rules
1806×associate-/r/
1200×associate-/l/
695×*-commutative
558×cube-prod
291×swap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026482
152462
278462
3104462
4323462
51707462
61944462
71953462
81953462
93459462
103485462
113517462
123548462
133580462
143614462
154014462
164052462
174092462
184134462
194178462
206741462
216886462
227153462
237570462
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(sin.f64 ky)
ky
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
kx
(sin.f64 th)
th
(*.f64 ky (/.f64 th (sin.f64 kx)))
ky
(/.f64 th (sin.f64 kx))
th
(sin.f64 kx)
kx
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(*.f64 (sin.f64 ky) (sin.f64 th))
(sin.f64 ky)
ky
(sin.f64 th)
th
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
#s(literal 1 binary64)
(/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th)))
(sin.f64 ky)
ky
(*.f64 (sin.f64 ky) (sin.f64 th))
(sin.f64 th)
th
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(sin.f64 th)
th
(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) kx)
(sin.f64 ky)
ky
kx
Outputs
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (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
(*.f64 ky (/.f64 th (sin.f64 kx)))
ky
(/.f64 th (sin.f64 kx))
th
(sin.f64 kx)
kx
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 ky) (sin.f64 th))
(sin.f64 ky)
ky
(sin.f64 th)
th
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(sin.f64 th)
#s(literal 1 binary64)
(/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (/.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (sin.f64 th))
(sin.f64 ky)
ky
(*.f64 (sin.f64 ky) (sin.f64 th))
(sin.f64 th)
th
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)))
(sin.f64 th)
th
(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) kx)
(sin.f64 ky)
ky
kx

localize110.0ms (0.8%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 th)
accuracy100.0%
(sin.f64 ky)
accuracy99.9%
(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))
accuracy99.7%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
accuracy100.0%
(sin.f64 ky)
accuracy99.7%
(*.f64 (sin.f64 ky) (sin.f64 th))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
accuracy89.0%
(/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th)))
accuracy100.0%
(sin.f64 th)
accuracy100.0%
(sin.f64 ky)
accuracy99.7%
(*.f64 (sin.f64 ky) (sin.f64 th))
accuracy89.0%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
accuracy100.0%
(sin.f64 kx)
accuracy99.8%
(/.f64 th (sin.f64 kx))
accuracy93.8%
(*.f64 ky (/.f64 th (sin.f64 kx)))
accuracy100.0%
(sin.f64 kx)
accuracy99.9%
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
accuracy99.7%
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
accuracy99.5%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
Results
81.0ms256×0valid
Compiler

Compiled 126 to 21 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-sin: 17.0ms (39.7% of total)
ival-div: 13.0ms (30.3% of total)
ival-hypot: 8.0ms (18.7% of total)
ival-mult: 4.0ms (9.3% of total)
ival-true: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series84.0ms (0.6%)

Counts
10 → 252
Calls
Call 1
Inputs
#<alt (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))>
#<alt (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))>
#<alt (*.f64 ky (/.f64 th (sin.f64 kx)))>
#<alt (/.f64 th (sin.f64 kx))>
#<alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))>
#<alt (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th)))>
#<alt (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))>
#<alt (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))>
#<alt (hypot.f64 (sin.f64 ky) kx)>
Outputs
#<alt (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))>
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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 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)))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<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 3/8 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 4 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 -5/16 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))))))>
#<alt (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (sin.f64 th)) (pow.f64 kx #s(literal 2 binary64)))) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (sin.f64 th)) (pow.f64 kx #s(literal 2 binary64)))) (*.f64 (sin.f64 ky) (sin.f64 th)))) kx)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 kx #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (sin.f64 th)) (pow.f64 kx #s(literal 2 binary64)))) (*.f64 (sin.f64 ky) (sin.f64 th))))) kx)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (sin.f64 th)) (pow.f64 kx #s(literal 2 binary64)))) (*.f64 (sin.f64 ky) (sin.f64 th))) kx))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (sin.f64 th)) (pow.f64 kx #s(literal 2 binary64)))) (*.f64 (sin.f64 ky) (sin.f64 th)))) kx))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 kx #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (sin.f64 th)) (pow.f64 kx #s(literal 2 binary64)))) (*.f64 (sin.f64 ky) (sin.f64 th))))) kx))>
#<alt (/.f64 kx ky)>
#<alt (/.f64 (+.f64 kx (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) kx) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) kx))))) ky)>
#<alt (/.f64 (+.f64 kx (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) kx) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) 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 kx #s(literal 2 binary64))))) kx)) (+.f64 (*.f64 #s(literal 7/360 binary64) kx) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) kx))))))))) ky)>
#<alt (/.f64 (+.f64 kx (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) kx) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) 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 kx #s(literal 2 binary64))))) kx)) (+.f64 (*.f64 #s(literal 7/360 binary64) kx) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) 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 kx #s(literal 2 binary64))))) kx)) (+.f64 (*.f64 #s(literal 31/15120 binary64) kx) (+.f64 (*.f64 #s(literal 7/720 binary64) (/.f64 #s(literal 1 binary64) 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 kx #s(literal 2 binary64))))) (pow.f64 kx #s(literal 2 binary64))))) kx)))))))))))))) ky)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.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 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 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 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 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 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 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 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 -1/8 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 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 1/16 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (/.f64 kx (sin.f64 ky))>
#<alt (*.f64 kx (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 kx #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))>
#<alt (*.f64 kx (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 kx #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))>
#<alt (*.f64 kx (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 5 binary64)) (pow.f64 kx #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 kx #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 kx (sin.f64 ky)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 kx (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 kx #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 kx (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 kx #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 kx (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 5 binary64)) (pow.f64 kx #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 kx #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))))>
#<alt kx>
#<alt (+.f64 kx (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) kx)))>
#<alt (+.f64 kx (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 2 binary64)))))) kx)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) kx)))))>
#<alt (+.f64 kx (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 2 binary64))))) kx)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 2 binary64))))) (pow.f64 kx #s(literal 2 binary64)))))) kx)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) kx)))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sin.f64 ky)>
#<alt (+.f64 (sin.f64 ky) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 ky))))>
#<alt (+.f64 (sin.f64 ky) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))))>
#<alt (+.f64 (sin.f64 ky) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))))>
#<alt kx>
#<alt (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64))))))>
#<alt (*.f64 kx (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64)))))))>
#<alt (*.f64 kx (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 kx #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) kx)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 kx (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 kx (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 kx #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64)))))))))>
Calls

72 calls:

TimeVariablePointExpression
24.0ms
kx
@inf
(/ (sqrt (+ (* (sin ky) (sin ky)) (* kx kx))) (sin ky))
11.0ms
kx
@0
(/ (sin ky) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin th)))
4.0ms
th
@0
(/ (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* kx kx))) (sin ky)))
3.0ms
kx
@inf
(/ (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* kx kx))) (sin ky)))
2.0ms
ky
@0
(/ (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* kx kx))) (sin ky)))

rewrite220.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
640×prod-diff
200×add-exp-log
200×add-log-exp
200×log1p-expm1-u
200×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026318
1431266
26592266
Stop Event
node limit
Counts
10 → 386
Calls
Call 1
Inputs
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(/.f64 th (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) kx)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 ky) (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 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 (sin.f64 ky) (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 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (/.f64 (*.f64 (sin.f64 ky) (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 (sin.f64 ky) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (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) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 2 binary64)))) (/.f64 (sin.f64 ky) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))
(*.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 th)))
(*.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (sin.f64 th))) (sqrt.f64 (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (sin.f64 th)))
(pow.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 ky) (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 (*.f64 (sin.f64 ky) (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 (*.f64 (sin.f64 ky) (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 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 ky) (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 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) #s(literal 1 binary64))
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(*.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.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))) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (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 (/.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 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal -1 binary64) (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (cbrt.f64 (sin.f64 th))))
(*.f64 (/.f64 (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 ky (/.f64 th (sin.f64 kx))))) #s(literal 1 binary64))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 ky th)))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (neg.f64 (*.f64 ky th)) (neg.f64 (sin.f64 kx)))
(/.f64 (*.f64 ky (neg.f64 th)) (neg.f64 (sin.f64 kx)))
(/.f64 (*.f64 (neg.f64 th) ky) (neg.f64 (sin.f64 kx)))
(/.f64 (/.f64 (*.f64 ky th) #s(literal 1 binary64)) (sin.f64 kx))
(/.f64 (/.f64 (*.f64 ky th) (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 kx)))
(/.f64 (/.f64 (*.f64 ky th) (sqrt.f64 (sin.f64 kx))) (sqrt.f64 (sin.f64 kx)))
(pow.f64 (*.f64 ky (/.f64 th (sin.f64 kx))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 th (sin.f64 kx)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 ky (/.f64 th (sin.f64 kx))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 ky (/.f64 th (sin.f64 kx)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 ky (/.f64 th (sin.f64 kx))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 ky) (/.f64 th (sin.f64 kx))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 ky (/.f64 th (sin.f64 kx))))))
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sin.f64 ky))
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(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 ky)) (/.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 2 binary64))) (/.f64 (sin.f64 ky) (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))) (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (sin.f64 ky)) (/.f64 (cbrt.f64 (sin.f64 ky)) (sin.f64 th)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (sin.f64 th)) (/.f64 (cbrt.f64 (sin.f64 ky)) (sin.f64 ky)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))) (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 ky)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))))
(*.f64 (/.f64 (sin.f64 ky) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))) #s(literal 2 binary64))
(pow.f64 (sin.f64 th) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 th))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 th)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(exp.f64 (neg.f64 (log.f64 (sin.f64 th))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 th))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))))) #s(literal 1 binary64))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))))
(*.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) 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) kx))))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))))
(*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) 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) kx))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))) (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))))
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) kx) (neg.f64 (sin.f64 ky)))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) 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) 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) kx) (sin.f64 ky))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) 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) 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) kx) (sin.f64 ky))) #s(literal 2 binary64))) (/.f64 (sin.f64 th) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))) (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (hypot.f64 (sin.f64 ky) 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) kx) (sin.f64 ky))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))) (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))))
(*.f64 (/.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)) #s(literal 1 binary64)) (sin.f64 ky))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) 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) kx)) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (neg.f64 (hypot.f64 (sin.f64 ky) kx))) (neg.f64 (sin.f64 ky)))
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.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 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (neg.f64 (sin.f64 ky)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.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 (/.f64 (hypot.f64 (sin.f64 ky) 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) kx)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(*.f64 (hypot.f64 (sin.f64 ky) kx) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) (sin.f64 ky)))
(*.f64 (pow.f64 (cbrt.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 ky))))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) (sin.f64 ky)))
(*.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 ky))))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))))
(*.f64 (neg.f64 (hypot.f64 (sin.f64 ky) 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) kx))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (/.f64 (hypot.f64 (sin.f64 ky) kx) (cbrt.f64 (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 ky))) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sqrt.f64 (sin.f64 ky))))
(*.f64 (/.f64 (pow.f64 (cbrt.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 ky)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 2 binary64)) (sqrt.f64 (sin.f64 ky))) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) (sqrt.f64 (sin.f64 ky))))
(*.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 ky)))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) (cbrt.f64 (sin.f64 ky))))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) #s(literal -1 binary64))
(neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (neg.f64 (sin.f64 ky))))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) #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)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)))
(pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) kx)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 (sin.f64 ky) kx))))
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) kx)))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 ky) kx)))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 ky) kx)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 1 binary64)))

simplify419.0ms (3.1%)

Algorithm
egg-herbie
Rules
892×times-frac
884×fma-define
471×distribute-lft-in
455×*-commutative
201×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0141028797
1384628299
Stop Event
node limit
Counts
638 → 721
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))))
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(sin.f64 th)
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(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (sin.f64 th)) (pow.f64 kx #s(literal 2 binary64)))) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (sin.f64 th)) (pow.f64 kx #s(literal 2 binary64)))) (*.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))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (sin.f64 th)) (pow.f64 kx #s(literal 2 binary64)))) (*.f64 (sin.f64 ky) (sin.f64 th))) kx))
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(/.f64 kx ky)
(/.f64 (+.f64 kx (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) kx) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) kx))))) ky)
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(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.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 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 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 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 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 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 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 -1/8 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 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 kx (sin.f64 ky))
(*.f64 kx (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 kx #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
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(*.f64 kx (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 5 binary64)) (pow.f64 kx #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 kx #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))))
(*.f64 #s(literal -1 binary64) (/.f64 kx (sin.f64 ky)))
(*.f64 #s(literal -1 binary64) (*.f64 kx (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 kx #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))
(*.f64 #s(literal -1 binary64) (*.f64 kx (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 kx #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))))
(*.f64 #s(literal -1 binary64) (*.f64 kx (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 5 binary64)) (pow.f64 kx #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 kx #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))))
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 -1/2 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 2 binary64)))))) kx)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) kx)))))
(+.f64 kx (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 2 binary64))))) kx)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 2 binary64))))) (pow.f64 kx #s(literal 2 binary64)))))) kx)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) kx)))))
(sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
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(sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sin.f64 ky)
(+.f64 (sin.f64 ky) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 ky))))
(+.f64 (sin.f64 ky) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))))
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kx
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(*.f64 kx (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64)))))))
(*.f64 kx (+.f64 #s(literal 1 binary64) (+.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)))))))
(*.f64 #s(literal -1 binary64) (*.f64 kx (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 kx (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 kx #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64)))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 ky) (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 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 (sin.f64 ky) (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))))
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(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) 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) 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) kx) (sin.f64 ky))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) 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) 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) kx) (sin.f64 ky))) #s(literal 2 binary64))) (/.f64 (sin.f64 th) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))) (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (hypot.f64 (sin.f64 ky) 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) kx) (sin.f64 ky))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))) (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))))
(*.f64 (/.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)) #s(literal 1 binary64)) (sin.f64 ky))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) 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) kx)) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (neg.f64 (hypot.f64 (sin.f64 ky) kx))) (neg.f64 (sin.f64 ky)))
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.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 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (neg.f64 (sin.f64 ky)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.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 (/.f64 (hypot.f64 (sin.f64 ky) 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) kx)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(*.f64 (hypot.f64 (sin.f64 ky) kx) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) (sin.f64 ky)))
(*.f64 (pow.f64 (cbrt.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 ky))))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) (sin.f64 ky)))
(*.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 ky))))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))))
(*.f64 (neg.f64 (hypot.f64 (sin.f64 ky) 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) kx))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (/.f64 (hypot.f64 (sin.f64 ky) kx) (cbrt.f64 (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 ky))) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sqrt.f64 (sin.f64 ky))))
(*.f64 (/.f64 (pow.f64 (cbrt.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 ky)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 2 binary64)) (sqrt.f64 (sin.f64 ky))) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) (sqrt.f64 (sin.f64 ky))))
(*.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 ky)))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) (cbrt.f64 (sin.f64 ky))))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) #s(literal -1 binary64))
(neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (neg.f64 (sin.f64 ky))))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) #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)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)))
(pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) kx)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 (sin.f64 ky) kx))))
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) kx)))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 ky) kx)))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 ky) kx)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (*.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
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#s(literal 1 binary64)
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(hypot.f64 (sin.f64 ky) kx)
(hypot.f64 kx (sin.f64 ky))
(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)
(hypot.f64 kx (sin.f64 ky))
(pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 3 binary64))
(hypot.f64 (sin.f64 ky) kx)
(hypot.f64 kx (sin.f64 ky))
(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)
(hypot.f64 kx (sin.f64 ky))
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 2 binary64))
(hypot.f64 (sin.f64 ky) kx)
(hypot.f64 kx (sin.f64 ky))
(sqrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 2 binary64)))
(hypot.f64 (sin.f64 ky) kx)
(hypot.f64 kx (sin.f64 ky))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) kx)))
(hypot.f64 (sin.f64 ky) kx)
(hypot.f64 kx (sin.f64 ky))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 (sin.f64 ky) kx))))
(hypot.f64 (sin.f64 ky) kx)
(hypot.f64 kx (sin.f64 ky))
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 3 binary64)))
(hypot.f64 (sin.f64 ky) kx)
(hypot.f64 kx (sin.f64 ky))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) kx)))
(expm1.f64 (log1p.f64 (hypot.f64 kx (sin.f64 ky))))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 ky) kx)))
(hypot.f64 (sin.f64 ky) kx)
(hypot.f64 kx (sin.f64 ky))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 ky) kx)))
(hypot.f64 (sin.f64 ky) kx)
(hypot.f64 kx (sin.f64 ky))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) kx)) #s(literal 1 binary64)))
(hypot.f64 (sin.f64 ky) kx)
(hypot.f64 kx (sin.f64 ky))

eval168.0ms (1.2%)

Compiler

Compiled 22988 to 3811 computations (83.4% saved)

prune425.0ms (3.1%)

Pruning

83 alts after pruning (75 fresh and 8 done)

PrunedKeptTotal
New1168381206
Fresh133750
Picked325
Done167
Total1185831268
Accuracy
100.0%
Counts
1268 → 83
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.2%
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 th (sin.f64 kx)))) #s(literal 3 binary64))
28.4%
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
12.2%
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 2 binary64)) (sin.f64 ky))
51.8%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 ky)))
20.0%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
21.1%
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
15.9%
(/.f64 (*.f64 (sin.f64 ky) th) ky)
21.4%
(/.f64 (*.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 th)) ky)
23.5%
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
35.0%
(/.f64 (*.f64 ky (sin.f64 th)) ky)
15.6%
(/.f64 (*.f64 ky th) (sin.f64 kx))
12.9%
(/.f64 (*.f64 ky th) kx)
99.6%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
59.3%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
52.6%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
29.1%
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
22.7%
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
21.4%
(/.f64 (sin.f64 th) (/.f64 kx ky))
59.3%
(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) kx) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
99.6%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
50.7%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
52.6%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
31.8%
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
99.4%
(/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
17.4%
(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))) ky)
50.7%
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
33.9%
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
18.4%
(/.f64 ky (/.f64 (sin.f64 kx) th))
28.4%
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th))) #s(literal 3 binary64)))
15.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 7/360 binary64))))) th))
15.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/6 binary64))) th))
12.2%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 ky) #s(literal 2 binary64)) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))))
21.1%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) th)))
51.7%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 th))))
23.5%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
28.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
14.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
26.8%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal 2 binary64)))))
20.6%
(/.f64 #s(literal 1 binary64) (expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)))))
20.7%
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (sin.f64 th)))))
25.8%
(-.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64))
28.3%
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 th)))
17.6%
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
99.6%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
50.7%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
50.8%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (sin.f64 kx))))) th)
52.6%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
27.7%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
84.0%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sin.f64 th))
85.6%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
50.7%
(*.f64 (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
29.1%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
55.7%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th))
23.7%
(*.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 (sin.f64 ky) (sin.f64 th)))
25.1%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
50.7%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) th)
17.6%
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
17.3%
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) ky))
99.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
31.8%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
45.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))
22.7%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
99.4%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
10.4%
(*.f64 ky (/.f64 (+.f64 th (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) th))) kx))
29.2%
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
21.5%
(*.f64 ky (/.f64 (sin.f64 th) kx))
15.6%
(*.f64 ky (/.f64 th (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))))
21.4%
(*.f64 ky (/.f64 th (fabs.f64 (sin.f64 kx))))
15.7%
(*.f64 ky (/.f64 th kx))
26.9%
(sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))
28.9%
(sin.f64 th)
28.8%
(log1p.f64 (expm1.f64 (sin.f64 th)))
25.8%
(log.f64 (exp.f64 (sin.f64 th)))
26.2%
(fabs.f64 (sin.f64 th))
21.7%
(expm1.f64 (-.f64 (exp.f64 (log1p.f64 (log1p.f64 (sin.f64 th)))) #s(literal 1 binary64)))
17.5%
(expm1.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 th #s(literal -1/2 binary64)))))
26.1%
(expm1.f64 (log1p.f64 (fabs.f64 (sin.f64 th))))
25.8%
(expm1.f64 (log.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64))))
28.7%
(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 th)) #s(literal 3 binary64))))
20.7%
(exp.f64 (log.f64 (sin.f64 th)))
28.7%
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
15.0%
th
Compiler

Compiled 2073 to 1012 computations (51.2% saved)

regimes601.0ms (4.4%)

Counts
118 → 1
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.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 (sin.f64 kx)) th)
(-.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(expm1.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 th #s(literal -1/2 binary64)))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/6 binary64))) th))
(*.f64 ky (/.f64 th (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))))
(*.f64 ky (/.f64 (+.f64 th (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) th))) kx))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 th (fabs.f64 (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(*.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) th)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 7/360 binary64))))) th))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(expm1.f64 (log.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (sin.f64 th)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th))) #s(literal 3 binary64)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 th (sin.f64 kx)))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 th (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 2 binary64)) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) ky))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 ky) #s(literal 2 binary64)) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))))
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) (+.f64 (sin.f64 th) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (fabs.f64 (sin.f64 th))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))
(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))) ky)
(/.f64 (*.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 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) (sin.f64 kx)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (fabs.f64 (sin.f64 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 (hypot.f64 (sin.f64 ky) kx) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (+.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))))) (sin.f64 th))
(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 th)) #s(literal 3 binary64))))
(expm1.f64 (-.f64 (exp.f64 (log1p.f64 (log1p.f64 (sin.f64 th)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 th)))
(/.f64 (*.f64 (expm1.f64 (log1p.f64 (sin.f64 ky))) (sin.f64 th)) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (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 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (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 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (sin.f64 kx))))) th)
(*.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 th))
(pow.f64 (cbrt.f64 (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 3 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 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (expm1.f64 (log1p.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 3 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) #s(literal 3 binary64))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
Calls

9 calls:

297.0ms
ky
66.0ms
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
36.0ms
kx
33.0ms
(sin.f64 kx)
32.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
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 51 computations (26.1% saved)

regimes322.0ms (2.4%)

Counts
99 → 1
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.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 (sin.f64 kx)) th)
(-.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(expm1.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 th #s(literal -1/2 binary64)))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/6 binary64))) th))
(*.f64 ky (/.f64 th (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))))
(*.f64 ky (/.f64 (+.f64 th (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) th))) kx))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 th (fabs.f64 (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(*.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) th)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 7/360 binary64))))) th))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(expm1.f64 (log.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (sin.f64 th)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th))) #s(literal 3 binary64)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 th (sin.f64 kx)))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 th (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 2 binary64)) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) ky))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 ky) #s(literal 2 binary64)) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))))
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) (+.f64 (sin.f64 th) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (fabs.f64 (sin.f64 th))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))
(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))) ky)
(/.f64 (*.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 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) (sin.f64 kx)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (fabs.f64 (sin.f64 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 (hypot.f64 (sin.f64 ky) kx) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (+.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))))) (sin.f64 th))
(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 th)) #s(literal 3 binary64))))
(expm1.f64 (-.f64 (exp.f64 (log1p.f64 (log1p.f64 (sin.f64 th)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 th)))
(/.f64 (*.f64 (expm1.f64 (log1p.f64 (sin.f64 ky))) (sin.f64 th)) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
Outputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
Calls

6 calls:

170.0ms
(sin.f64 kx)
30.0ms
kx
30.0ms
(sin.f64 th)
28.0ms
(sin.f64 ky)
27.0ms
ky
Results
AccuracySegmentsBranch
99.6%1kx
99.6%1ky
99.6%1th
99.6%1(sin.f64 ky)
99.6%1(sin.f64 kx)
99.6%1(sin.f64 th)
Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes178.0ms (1.3%)

Counts
98 → 2
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.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 (sin.f64 kx)) th)
(-.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(expm1.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 th #s(literal -1/2 binary64)))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/6 binary64))) th))
(*.f64 ky (/.f64 th (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))))
(*.f64 ky (/.f64 (+.f64 th (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) th))) kx))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 th (fabs.f64 (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(*.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) th)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 7/360 binary64))))) th))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(expm1.f64 (log.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (sin.f64 th)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th))) #s(literal 3 binary64)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 th (sin.f64 kx)))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 th (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 2 binary64)) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) ky))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 ky) #s(literal 2 binary64)) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))))
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) (+.f64 (sin.f64 th) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (fabs.f64 (sin.f64 th))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))
(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))) ky)
(/.f64 (*.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 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) (sin.f64 kx)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (fabs.f64 (sin.f64 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 (hypot.f64 (sin.f64 ky) kx) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (+.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))))) (sin.f64 th))
(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 th)) #s(literal 3 binary64))))
(expm1.f64 (-.f64 (exp.f64 (log1p.f64 (log1p.f64 (sin.f64 th)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 th)))
(/.f64 (*.f64 (expm1.f64 (log1p.f64 (sin.f64 ky))) (sin.f64 th)) (sin.f64 ky))
Outputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 ky)))
Calls

6 calls:

34.0ms
kx
28.0ms
(sin.f64 th)
28.0ms
(sin.f64 ky)
28.0ms
ky
27.0ms
(sin.f64 kx)
Results
AccuracySegmentsBranch
79.9%3kx
80.6%2ky
76.2%2th
80.6%3(sin.f64 ky)
80.8%4(sin.f64 kx)
76.6%3(sin.f64 th)
Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes138.0ms (1%)

Counts
77 → 2
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.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 (sin.f64 kx)) th)
(-.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(expm1.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 th #s(literal -1/2 binary64)))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/6 binary64))) th))
(*.f64 ky (/.f64 th (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))))
(*.f64 ky (/.f64 (+.f64 th (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) th))) kx))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 th (fabs.f64 (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(*.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) th)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 7/360 binary64))))) th))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(expm1.f64 (log.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (sin.f64 th)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th))) #s(literal 3 binary64)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 th (sin.f64 kx)))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 th (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 2 binary64)) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) ky))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 ky) #s(literal 2 binary64)) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))))
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) (+.f64 (sin.f64 th) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (fabs.f64 (sin.f64 th))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))
(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))) ky)
(/.f64 (*.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
Outputs
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))
Calls

6 calls:

24.0ms
(sin.f64 kx)
22.0ms
th
22.0ms
(sin.f64 ky)
22.0ms
ky
22.0ms
kx
Results
AccuracySegmentsBranch
72.7%3(sin.f64 th)
72.7%2th
68.8%4(sin.f64 kx)
65.1%2kx
60.3%3(sin.f64 ky)
60.3%2ky
Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes115.0ms (0.8%)

Counts
76 → 2
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.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 (sin.f64 kx)) th)
(-.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(expm1.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 th #s(literal -1/2 binary64)))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/6 binary64))) th))
(*.f64 ky (/.f64 th (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))))
(*.f64 ky (/.f64 (+.f64 th (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) th))) kx))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 th (fabs.f64 (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(*.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) th)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 7/360 binary64))))) th))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(expm1.f64 (log.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (sin.f64 th)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th))) #s(literal 3 binary64)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 th (sin.f64 kx)))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 th (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 2 binary64)) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) ky))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 ky) #s(literal 2 binary64)) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))))
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) (+.f64 (sin.f64 th) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (fabs.f64 (sin.f64 th))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))
(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))) ky)
(/.f64 (*.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 ky)))
Outputs
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
Calls

4 calls:

44.0ms
(sin.f64 th)
22.0ms
kx
21.0ms
th
21.0ms
(sin.f64 kx)
Results
AccuracySegmentsBranch
57.7%2kx
60.3%2(sin.f64 kx)
58.1%4(sin.f64 th)
57.7%3th
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes51.0ms (0.4%)

Counts
75 → 2
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.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 (sin.f64 kx)) th)
(-.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(expm1.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 th #s(literal -1/2 binary64)))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/6 binary64))) th))
(*.f64 ky (/.f64 th (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))))
(*.f64 ky (/.f64 (+.f64 th (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) th))) kx))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 th (fabs.f64 (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(*.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) th)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 7/360 binary64))))) th))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(expm1.f64 (log.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (sin.f64 th)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th))) #s(literal 3 binary64)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 th (sin.f64 kx)))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 th (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 2 binary64)) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) ky))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 ky) #s(literal 2 binary64)) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))))
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) (+.f64 (sin.f64 th) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (fabs.f64 (sin.f64 th))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))
(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))) ky)
(/.f64 (*.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 th)) ky)
Outputs
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky))))
Calls

2 calls:

21.0ms
(sin.f64 kx)
20.0ms
ky
Results
AccuracySegmentsBranch
59.9%2ky
61.1%3(sin.f64 kx)
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes132.0ms (1%)

Counts
72 → 3
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.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 (sin.f64 kx)) th)
(-.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(expm1.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 th #s(literal -1/2 binary64)))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/6 binary64))) th))
(*.f64 ky (/.f64 th (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))))
(*.f64 ky (/.f64 (+.f64 th (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) th))) kx))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 th (fabs.f64 (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(*.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) th)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 7/360 binary64))))) th))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(expm1.f64 (log.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (sin.f64 th)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th))) #s(literal 3 binary64)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 th (sin.f64 kx)))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 th (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 2 binary64)) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) ky))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 ky) #s(literal 2 binary64)) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))))
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) (+.f64 (sin.f64 th) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (fabs.f64 (sin.f64 th))))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th)
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
Calls

6 calls:

25.0ms
th
20.0ms
(sin.f64 th)
20.0ms
(sin.f64 kx)
20.0ms
ky
20.0ms
kx
Results
AccuracySegmentsBranch
52.4%5(sin.f64 th)
49.3%3th
47.0%3kx
51.5%3(sin.f64 ky)
50.5%4(sin.f64 kx)
44.5%2ky
Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes72.0ms (0.5%)

Counts
59 → 3
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.f64 (*.f64 ky th) kx)
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(-.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(expm1.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 th #s(literal -1/2 binary64)))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/6 binary64))) th))
(*.f64 ky (/.f64 th (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))))
(*.f64 ky (/.f64 (+.f64 th (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) th))) kx))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 th (fabs.f64 (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(*.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) th)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 7/360 binary64))))) th))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(expm1.f64 (log.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (sin.f64 th)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th)
(sin.f64 th)
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
Calls

4 calls:

18.0ms
th
17.0ms
(sin.f64 th)
17.0ms
(sin.f64 kx)
16.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
48.2%3(sin.f64 kx)
42.0%2th
46.4%4(sin.f64 th)
48.0%3(sin.f64 ky)
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes37.0ms (0.3%)

Counts
58 → 3
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.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 (sin.f64 kx)) th)
(-.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(expm1.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 th #s(literal -1/2 binary64)))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/6 binary64))) th))
(*.f64 ky (/.f64 th (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))))
(*.f64 ky (/.f64 (+.f64 th (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) th))) kx))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 th (fabs.f64 (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(*.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) th)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 7/360 binary64))))) th))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(expm1.f64 (log.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (sin.f64 th)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
Outputs
(sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
Calls

2 calls:

17.0ms
(sin.f64 kx)
17.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
48.0%3(sin.f64 ky)
48.0%3(sin.f64 kx)
Compiler

Compiled 10 to 8 computations (20% saved)

regimes89.0ms (0.7%)

Counts
57 → 3
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.f64 (*.f64 ky th) kx)
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(-.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(expm1.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 th #s(literal -1/2 binary64)))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/6 binary64))) th))
(*.f64 ky (/.f64 th (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))))
(*.f64 ky (/.f64 (+.f64 th (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) th))) kx))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 th (fabs.f64 (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(*.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) th)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 7/360 binary64))))) th))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(expm1.f64 (log.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (sin.f64 th)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
Outputs
(sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) ky)
Calls

1 calls:

15.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
48.0%3(sin.f64 ky)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes20.0ms (0.1%)

Counts
56 → 3
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.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 (sin.f64 kx)) th)
(-.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(expm1.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 th #s(literal -1/2 binary64)))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/6 binary64))) th))
(*.f64 ky (/.f64 th (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))))
(*.f64 ky (/.f64 (+.f64 th (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) th))) kx))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 th (fabs.f64 (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(*.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) th)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 7/360 binary64))))) th))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(expm1.f64 (log.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (sin.f64 th)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)))))
Outputs
(sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 ky (sin.f64 th)) ky)
Calls

1 calls:

16.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
48.0%3(sin.f64 ky)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes34.0ms (0.2%)

Counts
52 → 3
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.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 (sin.f64 kx)) th)
(-.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(expm1.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 th #s(literal -1/2 binary64)))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/6 binary64))) th))
(*.f64 ky (/.f64 th (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))))
(*.f64 ky (/.f64 (+.f64 th (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) th))) kx))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 th (fabs.f64 (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(*.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) th)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 7/360 binary64))))) th))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 th)) #s(literal 2 binary64))
(expm1.f64 (log.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (sin.f64 th)))))
Outputs
(sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 ky (sin.f64 th)) ky)
Calls

2 calls:

15.0ms
(sin.f64 ky)
15.0ms
(sin.f64 kx)
Results
AccuracySegmentsBranch
45.5%3(sin.f64 kx)
47.6%3(sin.f64 ky)
Compiler

Compiled 10 to 8 computations (20% saved)

regimes17.0ms (0.1%)

Counts
46 → 3
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.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 (sin.f64 kx)) th)
(-.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(expm1.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 th #s(literal -1/2 binary64)))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/6 binary64))) th))
(*.f64 ky (/.f64 th (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))))
(*.f64 ky (/.f64 (+.f64 th (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) th))) kx))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 th (fabs.f64 (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)
(*.f64 (/.f64 #s(literal 1 binary64) ky) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) th)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 7/360 binary64))))) th))
(exp.f64 (log.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)))
Outputs
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 ky (sin.f64 th)) ky)
Calls

1 calls:

14.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
47.6%3(sin.f64 ky)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes37.0ms (0.3%)

Counts
22 → 3
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.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 (sin.f64 kx)) th)
(-.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(expm1.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 th #s(literal -1/2 binary64)))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/6 binary64))) th))
(*.f64 ky (/.f64 th (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))))
(*.f64 ky (/.f64 (+.f64 th (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) th))) kx))
(fabs.f64 (sin.f64 th))
(*.f64 ky (/.f64 th (fabs.f64 (sin.f64 kx))))
Outputs
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 (*.f64 ky (sin.f64 th)) ky)
(fabs.f64 (sin.f64 th))
Calls

5 calls:

7.0ms
ky
7.0ms
th
7.0ms
(sin.f64 kx)
7.0ms
kx
7.0ms
(sin.f64 th)
Results
AccuracySegmentsBranch
39.0%3th
38.9%3(sin.f64 th)
39.3%3(sin.f64 kx)
43.0%3ky
39.1%2kx
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes7.0ms (0.1%)

Counts
20 → 2
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.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 (sin.f64 kx)) th)
(-.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) ky)
(/.f64 (*.f64 (sin.f64 ky) th) ky)
(expm1.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 th #s(literal -1/2 binary64)))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/6 binary64))) th))
(*.f64 ky (/.f64 th (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))))
(*.f64 ky (/.f64 (+.f64 th (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) th))) kx))
Outputs
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 (*.f64 ky (sin.f64 th)) ky)
Calls

1 calls:

6.0ms
ky
Results
AccuracySegmentsBranch
41.0%2ky
Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0%)

Counts
13 → 2
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.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 (sin.f64 kx)) th)
(-.f64 (+.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 (*.f64 ky th) (sin.f64 kx))
Outputs
(*.f64 ky (/.f64 (sin.f64 th) kx))
(sin.f64 th)
Calls

1 calls:

5.0ms
ky
Results
AccuracySegmentsBranch
39.1%2ky
Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.1%)

Counts
6 → 2
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.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

5 calls:

6.0ms
(sin.f64 th)
3.0ms
(sin.f64 kx)
3.0ms
ky
3.0ms
kx
3.0ms
th
Results
AccuracySegmentsBranch
33.4%3(sin.f64 th)
33.3%2th
35.2%2(sin.f64 kx)
36.0%2kx
35.3%2ky
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes5.0ms (0%)

Counts
5 → 2
Calls
Call 1
Inputs
th
(*.f64 ky (/.f64 th kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.f64 (*.f64 ky th) kx)
(sin.f64 th)
Outputs
(*.f64 ky (/.f64 th kx))
(sin.f64 th)
Calls

2 calls:

2.0ms
kx
2.0ms
ky
Results
AccuracySegmentsBranch
34.8%2ky
33.4%2kx
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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) th))
(/.f64 (*.f64 ky th) kx)
Outputs
(*.f64 ky (/.f64 th kx))
th
Calls

3 calls:

2.0ms
th
2.0ms
ky
2.0ms
kx
Results
AccuracySegmentsBranch
18.0%2th
21.1%2kx
24.1%2ky
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

2.0ms
th
1.0ms
ky
1.0ms
kx
Results
AccuracySegmentsBranch
15.0%1th
15.0%1kx
15.0%1ky
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch15.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
5.065773208895186e-6
1.5213092812749533e-5
Results
11.0ms80×0valid
Compiler

Compiled 157 to 114 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sin: 4.0ms (48.7% of total)
ival-pow: 2.0ms (24.4% of total)
ival-div: 1.0ms (12.2% of total)
ival-mult: 1.0ms (12.2% of total)
ival-sqrt: 1.0ms (12.2% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
const: 0.0ms (0% of total)

bsearch26.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
1.120387596572462e-9
3.804632675883617e-6
Results
20.0ms128×0valid
Compiler

Compiled 238 to 163 computations (31.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-sin: 9.0ms (57.9% of total)
ival-pow: 3.0ms (19.3% of total)
ival-div: 1.0ms (6.4% of total)
ival-add: 1.0ms (6.4% of total)
ival-mult: 1.0ms (6.4% of total)
ival-sqrt: 1.0ms (6.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
const: 0.0ms (0% of total)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0002699755170338069
0.054362627062753396
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch22.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
3.034460716015675e-44
5.719809805869463e-43
Results
15.0ms112×0valid
Compiler

Compiled 197 to 145 computations (26.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sin: 5.0ms (45.1% of total)
ival-pow: 2.0ms (18% of total)
ival-div: 1.0ms (9% of total)
ival-add: 1.0ms (9% of total)
ival-mult: 1.0ms (9% of total)
ival-sqrt: 1.0ms (9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
const: 0.0ms (0% of total)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.034460716015675e-44
5.719809805869463e-43
0.0ms
-0.0024956265239653385
2.505323149509895e-306
Compiler

Compiled 21 to 19 computations (9.5% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.3192189474615346e-113
4.0496284067683775e-113
0.0ms
-0.09813385522560045
-0.017860290992500603
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.034460716015675e-44
5.719809805869463e-43
0.0ms
-0.3064000896957795
-0.29311986175284316
Compiler

Compiled 21 to 19 computations (9.5% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.034460716015675e-44
5.719809805869463e-43
0.0ms
-0.3064000896957795
-0.29311986175284316
Compiler

Compiled 21 to 19 computations (9.5% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.034460716015675e-44
5.719809805869463e-43
0.0ms
-0.3064000896957795
-0.29311986175284316
Compiler

Compiled 21 to 19 computations (9.5% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.034460716015675e-44
5.719809805869463e-43
0.0ms
-0.0024956265239653385
2.505323149509895e-306
Compiler

Compiled 21 to 19 computations (9.5% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.034460716015675e-44
5.719809805869463e-43
0.0ms
-0.0024956265239653385
2.505323149509895e-306
Compiler

Compiled 21 to 19 computations (9.5% saved)

bsearch40.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
5.9169248698692515e+32
3.4326804177358956e+33
17.0ms
4.761325150144493e-225
3.08121400387516e-224
Results
31.0ms192×0valid
Compiler

Compiled 244 to 181 computations (25.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-sin: 14.0ms (58.5% of total)
ival-pow: 4.0ms (16.7% of total)
ival-mult: 2.0ms (8.4% of total)
ival-div: 1.0ms (4.2% of total)
ival-add: 1.0ms (4.2% of total)
ival-sqrt: 1.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
const: 0.0ms (0% of total)

bsearch18.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
4.761325150144493e-225
3.08121400387516e-224
Results
14.0ms96×0valid
Compiler

Compiled 142 to 103 computations (27.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sin: 5.0ms (48.4% of total)
ival-pow: 2.0ms (19.4% of total)
ival-div: 1.0ms (9.7% of total)
ival-mult: 1.0ms (9.7% of total)
ival-sqrt: 1.0ms (9.7% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
const: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
1.8509223377923857e-155
4.820861111863875e-153
Results
19.0ms128×0valid
Compiler

Compiled 150 to 115 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sin: 6.0ms (42.2% of total)
ival-pow: 4.0ms (28.1% of total)
ival-div: 1.0ms (7% of total)
ival-add: 1.0ms (7% of total)
ival-mult: 1.0ms (7% of total)
ival-sqrt: 1.0ms (7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
const: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
9.129717709539825e-7
0.0002699755203134147
Results
19.0ms128×0valid
Compiler

Compiled 150 to 115 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sin: 8.0ms (56% of total)
ival-pow: 3.0ms (21% of total)
ival-div: 1.0ms (7% of total)
ival-add: 1.0ms (7% of total)
ival-mult: 1.0ms (7% of total)
ival-sqrt: 1.0ms (7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
const: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
25.0ms
1.4016253766811327e-192
1.5538705061097814e-186
Results
21.0ms144×0valid
Compiler

Compiled 157 to 118 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-sin: 8.0ms (51.3% of total)
ival-pow: 3.0ms (19.2% of total)
ival-div: 1.0ms (6.4% of total)
ival-add: 1.0ms (6.4% of total)
ival-mult: 1.0ms (6.4% of total)
ival-sqrt: 1.0ms (6.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
const: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
2.3681603429645092e-107
4.08357548408588e-107
Results
10.0ms64×0valid
Compiler

Compiled 78 to 59 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sin: 3.0ms (38.6% of total)
ival-div: 2.0ms (25.7% of total)
ival-pow: 1.0ms (12.9% of total)
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
const: 0.0ms (0% of total)

simplify13.0ms (0.1%)

Algorithm
egg-herbie
Rules
15×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01101576
11251576
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 ky #s(literal 8854437155380585/590295810358705651712 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 ky))))
(if (<=.f64 th #s(literal 4486248158726163/1180591620717411303424 binary64)) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky)))))
(if (<=.f64 (sin.f64 kx) #s(literal 1152921504606847/2305843009213693952 binary64)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 ky))) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(if (<=.f64 ky #s(literal 8637291987892073/200867255532373784442745261542645325315275374222849104412672 binary64)) (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky)))))
(if (<=.f64 (sin.f64 ky) #s(literal -1152921504606847/576460752303423488 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th) (if (<=.f64 (sin.f64 ky) #s(literal 5021681388309345/100433627766186892221372630771322662657637687111424552206336 binary64)) (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th) (if (<=.f64 (sin.f64 kx) #s(literal 6931674235302037/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) (sin.f64 th) (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))
(if (<=.f64 (sin.f64 ky) #s(literal -5404319552844595/18014398509481984 binary64)) (sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (if (<=.f64 (sin.f64 ky) #s(literal 5021681388309345/100433627766186892221372630771322662657637687111424552206336 binary64)) (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))))
(if (<=.f64 (sin.f64 ky) #s(literal -5404319552844595/18014398509481984 binary64)) (sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (if (<=.f64 (sin.f64 ky) #s(literal 5021681388309345/100433627766186892221372630771322662657637687111424552206336 binary64)) (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))) (/.f64 (*.f64 ky (sin.f64 th)) ky)))
(if (<=.f64 (sin.f64 ky) #s(literal -5404319552844595/18014398509481984 binary64)) (sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (if (<=.f64 (sin.f64 ky) #s(literal 5021681388309345/100433627766186892221372630771322662657637687111424552206336 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (/.f64 (*.f64 ky (sin.f64 th)) ky)))
(if (<=.f64 (sin.f64 ky) #s(literal -1152921504606847/576460752303423488 binary64)) (sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (if (<=.f64 (sin.f64 ky) #s(literal 5021681388309345/100433627766186892221372630771322662657637687111424552206336 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (/.f64 (*.f64 ky (sin.f64 th)) ky)))
(if (<=.f64 (sin.f64 ky) #s(literal -1152921504606847/576460752303423488 binary64)) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 5021681388309345/100433627766186892221372630771322662657637687111424552206336 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (/.f64 (*.f64 ky (sin.f64 th)) ky)))
(if (<=.f64 ky #s(literal 6251263530824863/416750902054990892129990736920078612321547395144744260024766113235252327363602004470089512554472143171433119412089577527868050103382460317522709753270676877880947348719625909903942392869488376545560313508492912623855671752342278830697742336 binary64)) (*.f64 ky (/.f64 (sin.f64 th) kx)) (if (<=.f64 ky #s(literal 2599999999999999743203450105626624 binary64)) (/.f64 (*.f64 ky (sin.f64 th)) ky) (fabs.f64 (sin.f64 th))))
(if (<=.f64 ky #s(literal 755361009974671/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896 binary64)) (*.f64 ky (/.f64 (sin.f64 th) kx)) (/.f64 (*.f64 ky (sin.f64 th)) ky))
(if (<=.f64 ky #s(literal 8151758837614529/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (*.f64 ky (/.f64 (sin.f64 th) kx)) (sin.f64 th))
(if (<=.f64 kx #s(literal 4486248158726163/1180591620717411303424 binary64)) (sin.f64 th) (*.f64 ky (/.f64 th (sin.f64 kx))))
(if (<=.f64 ky #s(literal 4653939145124475/4898883310657342436947850401401639604522231782621865961233415550616320366316550245614411808808882209683752589725123921141977824503727074585042721378292777435812376133285876920625254286345394996247527424 binary64)) (*.f64 ky (/.f64 th kx)) (sin.f64 th))
(if (<=.f64 ky #s(literal 5784239726914675/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 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 ky #s(literal 8854437155380585/590295810358705651712 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 ky))))
(if (<=.f64 th #s(literal 4486248158726163/1180591620717411303424 binary64)) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky)))))
(if (<=.f64 (sin.f64 kx) #s(literal 1152921504606847/2305843009213693952 binary64)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 ky))) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(if (<=.f64 (sin.f64 kx) #s(literal 1152921504606847/2305843009213693952 binary64)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fabs.f64 (sin.f64 ky))) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 ky #s(literal 8637291987892073/200867255532373784442745261542645325315275374222849104412672 binary64)) (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky)))))
(if (<=.f64 (sin.f64 ky) #s(literal -1152921504606847/576460752303423488 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) th) (if (<=.f64 (sin.f64 ky) #s(literal 5021681388309345/100433627766186892221372630771322662657637687111424552206336 binary64)) (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))))
(if (<=.f64 (sin.f64 ky) #s(literal -1152921504606847/576460752303423488 binary64)) (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx))) (if (<=.f64 (sin.f64 ky) #s(literal 5021681388309345/100433627766186892221372630771322662657637687111424552206336 binary64)) (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) th) (if (<=.f64 (sin.f64 kx) #s(literal 6931674235302037/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) (sin.f64 th) (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 6931674235302037/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) (sin.f64 th) (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))
(if (<=.f64 (sin.f64 ky) #s(literal -5404319552844595/18014398509481984 binary64)) (sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (if (<=.f64 (sin.f64 ky) #s(literal 5021681388309345/100433627766186892221372630771322662657637687111424552206336 binary64)) (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))))
(if (<=.f64 (sin.f64 ky) #s(literal -5404319552844595/18014398509481984 binary64)) (sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (if (<=.f64 (sin.f64 ky) #s(literal 5021681388309345/100433627766186892221372630771322662657637687111424552206336 binary64)) (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))) (/.f64 (*.f64 ky (sin.f64 th)) ky)))
(if (<=.f64 (sin.f64 ky) #s(literal -5404319552844595/18014398509481984 binary64)) (sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (if (<=.f64 (sin.f64 ky) #s(literal 5021681388309345/100433627766186892221372630771322662657637687111424552206336 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (/.f64 (*.f64 ky (sin.f64 th)) ky)))
(if (<=.f64 (sin.f64 ky) #s(literal -1152921504606847/576460752303423488 binary64)) (sqrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (if (<=.f64 (sin.f64 ky) #s(literal 5021681388309345/100433627766186892221372630771322662657637687111424552206336 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (/.f64 (*.f64 ky (sin.f64 th)) ky)))
(if (<=.f64 (sin.f64 ky) #s(literal -1152921504606847/576460752303423488 binary64)) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 5021681388309345/100433627766186892221372630771322662657637687111424552206336 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (/.f64 (*.f64 ky (sin.f64 th)) ky)))
(if (<=.f64 ky #s(literal 6251263530824863/416750902054990892129990736920078612321547395144744260024766113235252327363602004470089512554472143171433119412089577527868050103382460317522709753270676877880947348719625909903942392869488376545560313508492912623855671752342278830697742336 binary64)) (*.f64 ky (/.f64 (sin.f64 th) kx)) (if (<=.f64 ky #s(literal 2599999999999999743203450105626624 binary64)) (/.f64 (*.f64 ky (sin.f64 th)) ky) (fabs.f64 (sin.f64 th))))
(if (<=.f64 ky #s(literal 755361009974671/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896 binary64)) (*.f64 ky (/.f64 (sin.f64 th) kx)) (/.f64 (*.f64 ky (sin.f64 th)) ky))
(if (<=.f64 ky #s(literal 8151758837614529/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (*.f64 ky (/.f64 (sin.f64 th) kx)) (sin.f64 th))
(if (<=.f64 kx #s(literal 4486248158726163/1180591620717411303424 binary64)) (sin.f64 th) (*.f64 ky (/.f64 th (sin.f64 kx))))
(if (<=.f64 ky #s(literal 4653939145124475/4898883310657342436947850401401639604522231782621865961233415550616320366316550245614411808808882209683752589725123921141977824503727074585042721378292777435812376133285876920625254286345394996247527424 binary64)) (*.f64 ky (/.f64 th kx)) (sin.f64 th))
(if (<=.f64 ky #s(literal 5784239726914675/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) (*.f64 ky (/.f64 th kx)) th)
th

soundness2.0s (14.5%)

Rules
968×fma-define
892×times-frac
888×log1p-expm1-u
884×fma-define
868×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0141028797
1384628299
084024259
1212222959
2717322959
0100131151
1266829601
031379
1457357
25501357
067215706
1181715340
2585313278
053717
1111529
2240529
3420529
4939529
52219529
63228529
73753529
84121529
94212529
104251529
114251529
023256
1341256
23880256
Stop Event
fuel
node limit
saturated
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1256 to 362 computations (71.2% saved)

preprocess174.0ms (1.3%)

Remove

(negabs th)

(negabs ky)

(abs kx)

Compiler

Compiled 1102 to 388 computations (64.8% saved)

end0.0ms (0%)

Profiling

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