Details

Time bar (total: 45.7s)

analyze698.0ms (1.5%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
0%0%99.9%0.1%0%0%0%7
25%25%74.9%0.1%0%0%0%8
54.7%54.6%45.2%0.1%0%0%0%9
56.3%56.2%43.7%0.1%0%0%0%10
62.5%62.4%37.4%0.1%0%0%0%11
66%65.9%33.9%0.1%0%0%0%12
Compiler

Compiled 20 to 15 computations (25% saved)

sample8.9s (19.5%)

Results
6.7s4754×body1024valid
1.6s1494×body512valid
565.0ms1995×body256valid
24.0ms13×body2048valid
Bogosity

preprocess130.0ms (0.3%)

Algorithm
2×egg-herbie
Rules
779×associate-/l/_binary64
735×associate-/r/_binary64
593×associate-*r/_binary64
437×associate-*l*_binary64
432×sqr-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027104
15472
211472
322172
464772
5294172
6460372
7552572
8579972
9612272
10655372
11779972
033
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 kx) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 th) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 th) 2)))) (sin.f64 ky))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 kx) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 kx) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 th) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 kx))
(*.f64 (sin.f64 kx) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 th) 2)))))
(*.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 ky) (sin.f64 kx)) (hypot.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 th) 2)))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 th) 2)))))
(*.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)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 th))))
Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify93.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
796×sqr-pow_binary64
698×associate-/r*_binary64
383×associate-*l*_binary64
374×cube-prod_binary64
360×fabs-mul_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01426
12618
25118
37918
415918
546018
6171018
7305618
8391618
9416818
10450518
11499718
12567718
13734318
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (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))))

eval1.0ms (0%)

Compiler

Compiled 30 to 17 computations (43.3% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.3b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
▶2.0b
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
Compiler

Compiled 33 to 23 computations (30.3% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(sin.f64 kx)
✓0.0b
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓0.3b
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓0.3b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
Compiler

Compiled 36 to 9 computations (75% saved)

series59.0ms (0.1%)

Counts
4 → 100
Calls

27 calls:

TimeVariablePointExpression
6.0ms
kx
@0
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
5.0ms
ky
@inf
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
5.0ms
ky
@0
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
5.0ms
ky
@-inf
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
4.0ms
kx
@inf
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

rewrite101.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
525×log-prod_binary64
408×exp-prod_binary64
302×pow-prod-down_binary64
277×pow2_binary64
195×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01042
120342
2259742
Stop Event
1×node limit
Counts
4 → 141
Calls
Call 1
Inputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 1) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2))) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) 2)) (cbrt.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (sqrt.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 th) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) (*.f64 (cbrt.f64 (sin.f64 th)) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2) (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 th)) (*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2)) (cbrt.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 kx))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 kx)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 kx))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 kx))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 kx))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 kx) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 kx)) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (cbrt.f64 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 kx) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 kx) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 kx) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 kx)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 kx)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 kx))) 2)) (cbrt.f64 (log.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sin.f64 kx)))) (sqrt.f64 (log.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 kx) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 kx) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 kx)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 kx))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 kx))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 kx))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 kx)) 1) 1))))))

simplify102.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
618×times-frac_binary64
543×associate-/l*_binary64
404×associate-/r*_binary64
395×associate-*l/_binary64
365×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02363903
17363742
226113550
Stop Event
1×node limit
Counts
241 → 213
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5)) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5)) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 (sin.f64 kx) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 2))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)) (pow.f64 (sin.f64 kx) 3)))))) (pow.f64 ky 7)) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))
(+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))))
(+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (+.f64 (*.f64 -1/5040 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 7)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(sin.f64 th)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (+.f64 (sin.f64 th) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 (sin.f64 ky) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2))))) (pow.f64 (sin.f64 ky) 2))) (*.f64 1/4 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 4))))) (pow.f64 kx 6))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) th)
(+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (pow.f64 th 3))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) th))
(+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (pow.f64 th 5))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (pow.f64 th 3))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) th)))
(+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (pow.f64 th 5))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (pow.f64 th 3))) (+.f64 (*.f64 -1/5040 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (pow.f64 th 7))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) th))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(/.f64 (sin.f64 th) (sin.f64 kx))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 2)) (pow.f64 (sin.f64 kx) 3))) (/.f64 (sin.f64 th) (sin.f64 kx)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 2)) (pow.f64 (sin.f64 kx) 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 5))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 4))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 2)) (pow.f64 (sin.f64 kx) 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 5))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 5))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 6))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 5))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 4))) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(/.f64 (sin.f64 th) (sin.f64 ky))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 3))) (/.f64 (sin.f64 th) (sin.f64 ky)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 3))) (+.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 3)))) (pow.f64 kx 4)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 3))) (+.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2))))) (pow.f64 (sin.f64 ky) 3))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 5))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 3)))) (pow.f64 (sin.f64 ky) 2))))) (pow.f64 kx 6))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 3)))) (pow.f64 kx 4))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))
(sin.f64 kx)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) (sin.f64 kx))) (sin.f64 kx))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) (sin.f64 kx))) (+.f64 (sin.f64 kx) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 ky 4)) (sin.f64 kx)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) (sin.f64 kx))) (+.f64 (sin.f64 kx) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 ky 4)) (sin.f64 kx))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (pow.f64 ky 6)) (sin.f64 kx))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sin.f64 ky)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))) (sin.f64 ky))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 kx 4)) (sin.f64 ky))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))) (sin.f64 ky)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 kx 4)) (sin.f64 ky))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 6)) (sin.f64 ky))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))) (sin.f64 ky))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
kx
(+.f64 (*.f64 -1/6 (pow.f64 kx 3)) kx)
(+.f64 (*.f64 1/120 (pow.f64 kx 5)) (+.f64 (*.f64 -1/6 (pow.f64 kx 3)) kx))
(+.f64 (*.f64 1/120 (pow.f64 kx 5)) (+.f64 (*.f64 -1/6 (pow.f64 kx 3)) (+.f64 (*.f64 -1/5040 (pow.f64 kx 7)) kx)))
Outputs
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))
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(fma.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) -1/2)) (pow.f64 ky 3) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky))
(fma.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 ky 3) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)))
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(fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1/120) (fma.f64 1/2 (/.f64 (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))))))) (pow.f64 ky 5) (+.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3))))
(fma.f64 (-.f64 (/.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 th))) (fma.f64 1/2 (/.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) -1/2)) (pow.f64 (sin.f64 kx) 2)) (*.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))) (pow.f64 ky 5) (fma.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) -1/2)) (pow.f64 ky 3) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)))
(fma.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1/120 (*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 (sin.f64 kx) 2)) -1/2)) (/.f64 (+.f64 1/6 (*.f64 1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (/.f64 (pow.f64 (sin.f64 kx) 3) (sin.f64 th)))) (pow.f64 ky 5) (fma.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 ky 3) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5)) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 (sin.f64 kx) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 2))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)) (pow.f64 (sin.f64 kx) 3)))))) (pow.f64 ky 7)) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))))
(fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1/120) (fma.f64 1/2 (/.f64 (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))))))) (pow.f64 ky 5) (+.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) -1/5040) (fma.f64 1/2 (/.f64 (-.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1/120) (fma.f64 1/2 (/.f64 (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))))))) (pow.f64 (sin.f64 kx) 2)) (fma.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (/.f64 (pow.f64 (sin.f64 kx) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (*.f64 1/2 (/.f64 (+.f64 2/45 (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (pow.f64 (sin.f64 kx) 3) (sin.f64 th))))))) (pow.f64 ky 7) (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))))
(+.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (sin.f64 th) -1/5040) (sin.f64 kx)) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 th))) (fma.f64 1/2 (/.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) -1/2)) (pow.f64 (sin.f64 kx) 2)) (*.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))) (pow.f64 (sin.f64 kx) 2)) (fma.f64 1/2 (*.f64 (/.f64 (+.f64 2/45 (/.f64 (*.f64 1/2 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 2))) (pow.f64 (sin.f64 kx) 3)) (sin.f64 th)) (*.f64 -1/2 (/.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) -1/2)) (/.f64 (pow.f64 (sin.f64 kx) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))))) (pow.f64 ky 7) (*.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) -1/2)) (pow.f64 ky 3))) (fma.f64 (-.f64 (/.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 th))) (fma.f64 1/2 (/.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) -1/2)) (pow.f64 (sin.f64 kx) 2)) (*.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))) (pow.f64 ky 5) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)))
(+.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) -1/5040) (fma.f64 1/2 (/.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1/120 (*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 (sin.f64 kx) 2)) -1/2)) (/.f64 (+.f64 1/6 (*.f64 1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (/.f64 (pow.f64 (sin.f64 kx) 3) (sin.f64 th)))) (pow.f64 (sin.f64 kx) 2)) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (+.f64 2/45 (/.f64 (+.f64 1/6 (*.f64 1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 (sin.f64 kx) 2)) -1/2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))) (pow.f64 ky 7) (*.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 ky 3))) (fma.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1/120 (*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 (sin.f64 kx) 2)) -1/2)) (/.f64 (+.f64 1/6 (*.f64 1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (/.f64 (pow.f64 (sin.f64 kx) 3) (sin.f64 th)))) (pow.f64 ky 5) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
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(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 th (sin.f64 ky)))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
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(fma.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 th (sin.f64 ky))))
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(fma.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5))) (*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))))
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(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
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(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(sin.f64 th)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th))
(fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 kx kx))) (sin.f64 th))
(fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (*.f64 kx kx)) (sin.f64 th))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th)))
(fma.f64 -1 (*.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4)) (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 kx kx))) (sin.f64 th)))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (*.f64 kx kx)) (sin.f64 th)) (*.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)))) (pow.f64 kx 4)))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (*.f64 kx kx)) (sin.f64 th)) (*.f64 (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 1/3 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2))) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th)) (*.f64 (/.f64 -1/4 (pow.f64 (sin.f64 ky) 4)) (sin.f64 th))) (pow.f64 kx 4)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (+.f64 (sin.f64 th) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 (sin.f64 ky) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2))))) (pow.f64 (sin.f64 ky) 2))) (*.f64 1/4 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 4))))) (pow.f64 kx 6))))))
(fma.f64 -1 (*.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4)) (+.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 kx kx))) (sin.f64 th)) (neg.f64 (*.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 (sin.f64 ky) 2)) (fma.f64 1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 2/45 (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)))))) (*.f64 1/4 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))))))) (pow.f64 kx 6)))))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (*.f64 kx kx)) (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)))) (pow.f64 (sin.f64 ky) 2)) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 2/45 (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2))))) (/.f64 (*.f64 (sin.f64 th) 1/4) (/.f64 (pow.f64 (sin.f64 ky) 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))))))) (pow.f64 kx 6) (sin.f64 th))) (*.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)))) (pow.f64 kx 4)))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (*.f64 kx kx)) (sin.f64 th)) (+.f64 (*.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 1/3 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2))) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th)) (*.f64 (/.f64 -1/4 (pow.f64 (sin.f64 ky) 4)) (sin.f64 th))) (pow.f64 (sin.f64 ky) 2)) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 2/45 (*.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2))) (pow.f64 (sin.f64 ky) 2))))) (*.f64 (/.f64 (*.f64 (sin.f64 th) 1/4) (pow.f64 (sin.f64 ky) 4)) (+.f64 1/3 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)))))) (pow.f64 kx 6)) (*.f64 (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 1/3 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2))) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th)) (*.f64 (/.f64 -1/4 (pow.f64 (sin.f64 ky) 4)) (sin.f64 th))) (pow.f64 kx 4))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
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(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
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(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
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(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
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(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
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(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
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(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))))
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(/.f64 (sin.f64 th) (sin.f64 ky))
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(sin.f64 kx)
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(fma.f64 1/2 (/.f64 (*.f64 ky ky) (sin.f64 kx)) (sin.f64 kx))
(fma.f64 1/2 (/.f64 ky (/.f64 (sin.f64 kx) ky)) (sin.f64 kx))
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(fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (/.f64 (sin.f64 ky) (pow.f64 kx 4))) (fma.f64 1/2 (/.f64 (+.f64 2/45 (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)))) (/.f64 (sin.f64 ky) (pow.f64 kx 6))) (fma.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (sin.f64 ky))))
(fma.f64 -1/2 (*.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (sin.f64 ky)) (pow.f64 kx 4)) (fma.f64 1/2 (*.f64 (/.f64 (+.f64 2/45 (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 ky)) (pow.f64 kx 6)) (fma.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (sin.f64 ky))))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 kx 4) (sin.f64 ky)) (+.f64 1/3 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)))) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 kx 6) (sin.f64 ky)) (+.f64 2/45 (*.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2))) (pow.f64 (sin.f64 ky) 2))))) (fma.f64 1/2 (/.f64 kx (/.f64 (sin.f64 ky) kx)) (sin.f64 ky))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
kx
(+.f64 (*.f64 -1/6 (pow.f64 kx 3)) kx)
(fma.f64 -1/6 (pow.f64 kx 3) kx)
(+.f64 (*.f64 1/120 (pow.f64 kx 5)) (+.f64 (*.f64 -1/6 (pow.f64 kx 3)) kx))
(fma.f64 1/120 (pow.f64 kx 5) (fma.f64 -1/6 (pow.f64 kx 3) kx))
(+.f64 (*.f64 1/120 (pow.f64 kx 5)) (+.f64 (*.f64 -1/6 (pow.f64 kx 3)) (+.f64 (*.f64 -1/5040 (pow.f64 kx 7)) kx)))
(fma.f64 1/120 (pow.f64 kx 5) (fma.f64 -1/6 (pow.f64 kx 3) (fma.f64 -1/5040 (pow.f64 kx 7) kx)))

localize52.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
✓0.3b
(pow.f64 (sin.f64 ky) 2)
✓0.3b
(pow.f64 (sin.f64 kx) 2)
✓1.8b
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
Compiler

Compiled 69 to 37 computations (46.4% saved)

series44.0ms (0.1%)

Counts
4 → 68
Calls

21 calls:

TimeVariablePointExpression
11.0ms
ky
@0
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
5.0ms
ky
@inf
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
4.0ms
kx
@0
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
3.0ms
kx
@-inf
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
2.0ms
th
@inf
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))

rewrite118.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
697×prod-diff_binary64
689×log-prod_binary64
256×expm1-udef_binary64
256×log1p-udef_binary64
254×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01454
129938
2382838
Stop Event
1×node limit
Counts
4 → 104
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(pow.f64 (sin.f64 kx) 2)
(pow.f64 (sin.f64 ky) 2)
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (cbrt.f64 (exp.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2) 2) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 (sin.f64 ky) 4))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 (sin.f64 ky) 3)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 4) (-.f64 (pow.f64 (sin.f64 ky) 4) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 kx) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 kx) 2))) (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 kx) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 kx) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 kx) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 kx) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 kx) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 kx) (sin.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 kx) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 kx) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (cbrt.f64 (pow.f64 (sin.f64 kx) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (*.f64 (cbrt.f64 (sin.f64 kx)) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 kx)) (*.f64 (sqrt.f64 (sin.f64 kx)) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 kx) (sqrt.f64 (sin.f64 kx))) (sqrt.f64 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 kx) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (cbrt.f64 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 kx) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 kx) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 kx) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 kx) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 kx) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 kx) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 kx))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 ky) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 ky) 2))) (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 ky) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 ky) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 ky) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 ky) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 ky ky))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 ky) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 ky) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 ky) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 ky) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (cbrt.f64 (pow.f64 (sin.f64 ky) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (*.f64 (cbrt.f64 (sin.f64 ky)) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) 4)) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)) (cbrt.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 ky ky)) (cos.f64 (+.f64 ky ky))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 ky) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 ky) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 ky) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 ky) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 ky) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 ky) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 ky))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sin.f64 th))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sin.f64 th))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sin.f64 th)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 1) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2)) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 3) (pow.f64 (sin.f64 th) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))) 1))))))

simplify125.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
969×fma-def_binary64
432×distribute-lft-in_binary64
432×distribute-rgt-in_binary64
426×*-commutative_binary64
303×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02062422
16012274
220182140
376802140
Stop Event
1×node limit
Counts
172 → 160
Calls
Call 1
Inputs
(sin.f64 ky)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))) (sin.f64 ky))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 kx 4)) (sin.f64 ky))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))) (sin.f64 ky)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 kx 4)) (sin.f64 ky))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 6)) (sin.f64 ky))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))) (sin.f64 ky))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sin.f64 kx)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) (sin.f64 kx))) (sin.f64 kx))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) (sin.f64 kx))) (+.f64 (sin.f64 kx) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 ky 4)) (sin.f64 kx)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) (sin.f64 kx))) (+.f64 (sin.f64 kx) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 ky 4)) (sin.f64 kx))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (pow.f64 ky 6)) (sin.f64 kx))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(pow.f64 kx 2)
(+.f64 (pow.f64 kx 2) (*.f64 -1/3 (pow.f64 kx 4)))
(+.f64 (pow.f64 kx 2) (+.f64 (*.f64 -1/3 (pow.f64 kx 4)) (*.f64 2/45 (pow.f64 kx 6))))
(+.f64 (pow.f64 kx 2) (+.f64 (*.f64 -1/3 (pow.f64 kx 4)) (+.f64 (*.f64 2/45 (pow.f64 kx 6)) (*.f64 -1/315 (pow.f64 kx 8)))))
(pow.f64 ky 2)
(+.f64 (*.f64 -1/3 (pow.f64 ky 4)) (pow.f64 ky 2))
(+.f64 (*.f64 -1/3 (pow.f64 ky 4)) (+.f64 (pow.f64 ky 2) (*.f64 2/45 (pow.f64 ky 6))))
(+.f64 (*.f64 -1/3 (pow.f64 ky 4)) (+.f64 (pow.f64 ky 2) (+.f64 (*.f64 -1/315 (pow.f64 ky 8)) (*.f64 2/45 (pow.f64 ky 6)))))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3))) (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)))) (pow.f64 ky 3)))
(+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (*.f64 1/3 (/.f64 1 (pow.f64 (sin.f64 kx) 4)))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2)) (*.f64 (sin.f64 kx) (sin.f64 th)))) (+.f64 (*.f64 1/12 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3))) (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))))) (pow.f64 ky 5)) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3))) (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)))) (pow.f64 ky 3))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/5040 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 (sin.f64 kx) 6))) (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 8)) (+.f64 (*.f64 2/45 (/.f64 1 (pow.f64 (sin.f64 kx) 4))) (*.f64 -1/2 (/.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (*.f64 1/3 (/.f64 1 (pow.f64 (sin.f64 kx) 4)))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2)) (pow.f64 (sin.f64 kx) 2))))))))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (*.f64 1/3 (/.f64 1 (pow.f64 (sin.f64 kx) 4)))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2)) (*.f64 (sin.f64 kx) (sin.f64 th)))) (*.f64 -1/240 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))))) (pow.f64 ky 7)) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (*.f64 1/3 (/.f64 1 (pow.f64 (sin.f64 kx) 4)))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2)) (*.f64 (sin.f64 kx) (sin.f64 th)))) (+.f64 (*.f64 1/12 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3))) (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))))) (pow.f64 ky 5)) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3))) (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)))) (pow.f64 ky 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(sin.f64 th)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (+.f64 (sin.f64 th) (*.f64 1/2 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (sin.f64 ky) 4))) (/.f64 1 (pow.f64 (sin.f64 ky) 6))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2)) (*.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 4)))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 2/45 (/.f64 1 (pow.f64 (sin.f64 ky) 4))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 (sin.f64 ky) 6))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (sin.f64 ky) 4))) (/.f64 1 (pow.f64 (sin.f64 ky) 6))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2)) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (pow.f64 (sin.f64 ky) 8))))) (*.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 6))))) (+.f64 (sin.f64 th) (*.f64 1/2 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (sin.f64 ky) 4))) (/.f64 1 (pow.f64 (sin.f64 ky) 6))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2)) (*.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 4))))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))
(+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))))
(+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (+.f64 (*.f64 -1/5040 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 7)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
Outputs
(sin.f64 ky)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))) (sin.f64 ky))
(fma.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (sin.f64 ky))
(fma.f64 1/2 (/.f64 kx (/.f64 (sin.f64 ky) kx)) (sin.f64 ky))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 kx 4)) (sin.f64 ky))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))) (sin.f64 ky)))
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (/.f64 (sin.f64 ky) (pow.f64 kx 4))) (fma.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (sin.f64 ky)))
(fma.f64 -1/2 (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (sin.f64 ky)) (pow.f64 kx 4)) (fma.f64 1/2 (/.f64 kx (/.f64 (sin.f64 ky) kx)) (sin.f64 ky)))
(fma.f64 -1/2 (*.f64 (pow.f64 kx 4) (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (sin.f64 ky))) (fma.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (sin.f64 ky)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 kx 4)) (sin.f64 ky))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 6)) (sin.f64 ky))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))) (sin.f64 ky))))
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (/.f64 (sin.f64 ky) (pow.f64 kx 4))) (fma.f64 1/2 (/.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2)))) (/.f64 (sin.f64 ky) (pow.f64 kx 6))) (fma.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (sin.f64 ky))))
(fma.f64 -1/2 (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (sin.f64 ky)) (pow.f64 kx 4)) (fma.f64 1/2 (*.f64 (/.f64 (-.f64 2/45 (/.f64 (*.f64 -1/2 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 ky)) (pow.f64 kx 6)) (fma.f64 1/2 (/.f64 kx (/.f64 (sin.f64 ky) kx)) (sin.f64 ky))))
(+.f64 (*.f64 (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) -1/6) (sin.f64 ky)) (pow.f64 kx 4)) (fma.f64 1/2 (fma.f64 (/.f64 (-.f64 2/45 (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) -1/6) (pow.f64 (sin.f64 ky) 2))) (sin.f64 ky)) (pow.f64 kx 6) (/.f64 (*.f64 kx kx) (sin.f64 ky))) (sin.f64 ky)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) (sin.f64 kx))) (sin.f64 kx))
(fma.f64 1/2 (/.f64 (*.f64 ky ky) (sin.f64 kx)) (sin.f64 kx))
(fma.f64 1/2 (*.f64 (/.f64 ky (sin.f64 kx)) ky) (sin.f64 kx))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) (sin.f64 kx))) (+.f64 (sin.f64 kx) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 ky 4)) (sin.f64 kx)))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 ky ky) (sin.f64 kx)) (sin.f64 kx)) (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (/.f64 (sin.f64 kx) (pow.f64 ky 4)))))
(fma.f64 1/2 (/.f64 (*.f64 ky ky) (sin.f64 kx)) (fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (/.f64 (sin.f64 kx) (pow.f64 ky 4))) (sin.f64 kx)))
(+.f64 (sin.f64 kx) (fma.f64 1/2 (*.f64 (/.f64 ky (sin.f64 kx)) ky) (*.f64 (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6) (sin.f64 kx)) (pow.f64 ky 4))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) (sin.f64 kx))) (+.f64 (sin.f64 kx) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 ky 4)) (sin.f64 kx))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (pow.f64 ky 6)) (sin.f64 kx))))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 ky ky) (sin.f64 kx)) (sin.f64 kx)) (fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (/.f64 (sin.f64 kx) (pow.f64 ky 4))) (*.f64 1/2 (/.f64 (+.f64 2/45 (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (sin.f64 kx) (pow.f64 ky 6))))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 ky ky) (sin.f64 kx)) (sin.f64 kx)) (fma.f64 1/2 (*.f64 (/.f64 (-.f64 2/45 (/.f64 -1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))))) (sin.f64 kx)) (pow.f64 ky 6)) (/.f64 -1/2 (/.f64 (sin.f64 kx) (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 ky 4))))))
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 ky (sin.f64 kx)) ky) (sin.f64 kx)) (fma.f64 1/2 (*.f64 (pow.f64 ky 6) (/.f64 (-.f64 2/45 (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6) (pow.f64 (sin.f64 kx) 2))) (sin.f64 kx))) (*.f64 (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6) (sin.f64 kx)) (pow.f64 ky 4))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(pow.f64 kx 2)
(*.f64 kx kx)
(+.f64 (pow.f64 kx 2) (*.f64 -1/3 (pow.f64 kx 4)))
(+.f64 (*.f64 kx kx) (*.f64 (pow.f64 kx 4) -1/3))
(fma.f64 kx kx (*.f64 (pow.f64 kx 4) -1/3))
(fma.f64 (pow.f64 kx 4) -1/3 (*.f64 kx kx))
(+.f64 (pow.f64 kx 2) (+.f64 (*.f64 -1/3 (pow.f64 kx 4)) (*.f64 2/45 (pow.f64 kx 6))))
(+.f64 (*.f64 kx kx) (fma.f64 -1/3 (pow.f64 kx 4) (*.f64 2/45 (pow.f64 kx 6))))
(fma.f64 kx kx (fma.f64 (pow.f64 kx 4) -1/3 (*.f64 2/45 (pow.f64 kx 6))))
(fma.f64 (pow.f64 kx 4) -1/3 (fma.f64 2/45 (pow.f64 kx 6) (*.f64 kx kx)))
(+.f64 (pow.f64 kx 2) (+.f64 (*.f64 -1/3 (pow.f64 kx 4)) (+.f64 (*.f64 2/45 (pow.f64 kx 6)) (*.f64 -1/315 (pow.f64 kx 8)))))
(+.f64 (*.f64 kx kx) (fma.f64 -1/3 (pow.f64 kx 4) (fma.f64 2/45 (pow.f64 kx 6) (*.f64 -1/315 (pow.f64 kx 8)))))
(fma.f64 kx kx (fma.f64 (pow.f64 kx 4) -1/3 (fma.f64 2/45 (pow.f64 kx 6) (*.f64 -1/315 (pow.f64 kx 8)))))
(fma.f64 kx kx (fma.f64 2/45 (pow.f64 kx 6) (fma.f64 (pow.f64 kx 4) -1/3 (*.f64 -1/315 (pow.f64 kx 8)))))
(pow.f64 ky 2)
(*.f64 ky ky)
(+.f64 (*.f64 -1/3 (pow.f64 ky 4)) (pow.f64 ky 2))
(fma.f64 -1/3 (pow.f64 ky 4) (*.f64 ky ky))
(fma.f64 (pow.f64 ky 4) -1/3 (*.f64 ky ky))
(fma.f64 ky ky (*.f64 (pow.f64 ky 4) -1/3))
(+.f64 (*.f64 -1/3 (pow.f64 ky 4)) (+.f64 (pow.f64 ky 2) (*.f64 2/45 (pow.f64 ky 6))))
(+.f64 (fma.f64 -1/3 (pow.f64 ky 4) (*.f64 ky ky)) (*.f64 2/45 (pow.f64 ky 6)))
(fma.f64 (pow.f64 ky 4) -1/3 (fma.f64 ky ky (*.f64 2/45 (pow.f64 ky 6))))
(fma.f64 ky ky (fma.f64 2/45 (pow.f64 ky 6) (*.f64 (pow.f64 ky 4) -1/3)))
(+.f64 (*.f64 -1/3 (pow.f64 ky 4)) (+.f64 (pow.f64 ky 2) (+.f64 (*.f64 -1/315 (pow.f64 ky 8)) (*.f64 2/45 (pow.f64 ky 6)))))
(+.f64 (fma.f64 -1/3 (pow.f64 ky 4) (*.f64 ky ky)) (fma.f64 -1/315 (pow.f64 ky 8) (*.f64 2/45 (pow.f64 ky 6))))
(fma.f64 (pow.f64 ky 4) -1/3 (fma.f64 ky ky (fma.f64 -1/315 (pow.f64 ky 8) (*.f64 2/45 (pow.f64 ky 6)))))
(fma.f64 ky ky (fma.f64 (pow.f64 ky 4) -1/3 (fma.f64 -1/315 (pow.f64 ky 8) (*.f64 2/45 (pow.f64 ky 6)))))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3))) (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)))) (pow.f64 ky 3)))
(+.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) (*.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)))) (pow.f64 ky 3)))
(fma.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)))) (pow.f64 ky 3) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky))
(fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky (*.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 -1/6 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 ky 3)))
(+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (*.f64 1/3 (/.f64 1 (pow.f64 (sin.f64 kx) 4)))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2)) (*.f64 (sin.f64 kx) (sin.f64 th)))) (+.f64 (*.f64 1/12 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3))) (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))))) (pow.f64 ky 5)) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3))) (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)))) (pow.f64 ky 3))))
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(fma.f64 (fma.f64 1/2 (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (-.f64 (/.f64 1/3 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2))))) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 1/12 (pow.f64 (sin.f64 kx) 2)) 1/120))) (pow.f64 ky 5) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky (*.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 -1/6 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 ky 3))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/5040 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 (sin.f64 kx) 6))) (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 8)) (+.f64 (*.f64 2/45 (/.f64 1 (pow.f64 (sin.f64 kx) 4))) (*.f64 -1/2 (/.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (*.f64 1/3 (/.f64 1 (pow.f64 (sin.f64 kx) 4)))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2)) (pow.f64 (sin.f64 kx) 2))))))))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (*.f64 1/3 (/.f64 1 (pow.f64 (sin.f64 kx) 4)))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2)) (*.f64 (sin.f64 kx) (sin.f64 th)))) (*.f64 -1/240 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))))) (pow.f64 ky 7)) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (*.f64 1/3 (/.f64 1 (pow.f64 (sin.f64 kx) 4)))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2)) (*.f64 (sin.f64 kx) (sin.f64 th)))) (+.f64 (*.f64 1/12 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3))) (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))))) (pow.f64 ky 5)) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3))) (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)))) (pow.f64 ky 3)))))
(fma.f64 (fma.f64 -1/5040 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 -1/2 (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (/.f64 2/3 (pow.f64 (sin.f64 kx) 6)) (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 8)) (+.f64 (/.f64 2/45 (pow.f64 (sin.f64 kx) 4)) (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (-.f64 (/.f64 1/3 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2))) (pow.f64 (sin.f64 kx) 2)))))))) (fma.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (-.f64 (/.f64 1/3 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2))) (*.f64 (sin.f64 kx) (sin.f64 th))) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) -1/240)))) (pow.f64 ky 7) (+.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) (fma.f64 (fma.f64 1/2 (*.f64 (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (-.f64 (/.f64 1/3 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2))) (*.f64 (sin.f64 kx) (sin.f64 th))) (fma.f64 1/12 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1/120))) (pow.f64 ky 5) (*.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)))) (pow.f64 ky 3)))))
(fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) -1/5040 (fma.f64 -1/2 (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 8)) (+.f64 (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (-.f64 (/.f64 1/3 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2))) (pow.f64 (sin.f64 kx) 2)) (/.f64 2/45 (pow.f64 (sin.f64 kx) 4))) (/.f64 2/3 (pow.f64 (sin.f64 kx) 6))))) (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) -1/240 (*.f64 (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (-.f64 (/.f64 1/3 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2))) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) -1/12))))) (pow.f64 ky 7) (+.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky) (fma.f64 (fma.f64 1/2 (*.f64 (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (-.f64 (/.f64 1/3 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2))) (*.f64 (sin.f64 kx) (sin.f64 th))) (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) 1/12 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1/120))) (pow.f64 ky 5) (*.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)))) (pow.f64 ky 3)))))
(fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky (fma.f64 (+.f64 (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (*.f64 -1/2 (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 8)) (+.f64 (/.f64 2/3 (pow.f64 (sin.f64 kx) 6)) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (-.f64 (/.f64 1/3 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2))) (pow.f64 (sin.f64 kx) 2)) (/.f64 2/45 (pow.f64 (sin.f64 kx) 4)))))) (+.f64 (*.f64 -1/12 (-.f64 (/.f64 1/3 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2))) (/.f64 -1/12 (pow.f64 (sin.f64 kx) 6))))) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 -1/240 (pow.f64 (sin.f64 kx) 2)) -1/5040))) (pow.f64 ky 7) (fma.f64 (fma.f64 1/2 (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (/.f64 1 (pow.f64 (sin.f64 kx) 6)) (-.f64 (/.f64 1/3 (pow.f64 (sin.f64 kx) 4)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 3)) 2))))) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 1/12 (pow.f64 (sin.f64 kx) 2)) 1/120))) (pow.f64 ky 5) (*.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 -1/6 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 ky 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(sin.f64 th)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 kx kx) (sin.f64 th)) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th))
(fma.f64 -1/2 (/.f64 (*.f64 kx kx) (/.f64 (pow.f64 (sin.f64 ky) 2) (sin.f64 th))) (sin.f64 th))
(fma.f64 -1/2 (*.f64 (*.f64 kx kx) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th))
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(fma.f64 -1/2 (*.f64 (*.f64 kx kx) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (sin.f64 ky) 6)) (-.f64 (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2) (/.f64 1/3 (pow.f64 (sin.f64 ky) 4)))) (*.f64 1/2 (*.f64 (pow.f64 kx 4) (*.f64 (pow.f64 (sin.f64 ky) 2) (sin.f64 th)))) (sin.f64 th)))
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(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 kx kx) (sin.f64 th)) (pow.f64 (sin.f64 ky) 2)) (fma.f64 -1/2 (*.f64 (+.f64 (/.f64 2/45 (pow.f64 (sin.f64 ky) 4)) (+.f64 (/.f64 2/3 (pow.f64 (sin.f64 ky) 6)) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (sin.f64 ky) 4)) (-.f64 (/.f64 1 (pow.f64 (sin.f64 ky) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2))) (pow.f64 (sin.f64 ky) 2)) (/.f64 1 (pow.f64 (sin.f64 ky) 8))))) (*.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 6)))) (+.f64 (sin.f64 th) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1/3 (pow.f64 (sin.f64 ky) 4)) (-.f64 (/.f64 1 (pow.f64 (sin.f64 ky) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2))) (*.f64 (sin.f64 th) (*.f64 (pow.f64 kx 4) (pow.f64 (sin.f64 ky) 2))))))))
(fma.f64 -1/2 (/.f64 (*.f64 kx kx) (/.f64 (pow.f64 (sin.f64 ky) 2) (sin.f64 th))) (fma.f64 -1/2 (*.f64 (sin.f64 th) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 6)) (+.f64 (/.f64 2/3 (pow.f64 (sin.f64 ky) 6)) (+.f64 (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (sin.f64 ky) 4)) (-.f64 (/.f64 1 (pow.f64 (sin.f64 ky) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2))) (pow.f64 (sin.f64 ky) 2)) (/.f64 1 (pow.f64 (sin.f64 ky) 8))) (/.f64 2/45 (pow.f64 (sin.f64 ky) 4)))))) (fma.f64 1/2 (*.f64 (sin.f64 th) (*.f64 (*.f64 (pow.f64 kx 4) (pow.f64 (sin.f64 ky) 2)) (+.f64 (/.f64 1/3 (pow.f64 (sin.f64 ky) 4)) (-.f64 (/.f64 1 (pow.f64 (sin.f64 ky) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2))))) (sin.f64 th))))
(fma.f64 -1/2 (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (*.f64 kx kx) (*.f64 (pow.f64 kx 6) (*.f64 (+.f64 (/.f64 2/45 (pow.f64 (sin.f64 ky) 4)) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (sin.f64 ky) 6)) (-.f64 (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2) (/.f64 1/3 (pow.f64 (sin.f64 ky) 4)))) (pow.f64 (sin.f64 ky) 2)) (+.f64 (/.f64 2/3 (pow.f64 (sin.f64 ky) 6)) (/.f64 1 (pow.f64 (sin.f64 ky) 8))))) (*.f64 (pow.f64 (sin.f64 ky) 2) (sin.f64 th))))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (sin.f64 ky) 6)) (-.f64 (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2) (/.f64 1/3 (pow.f64 (sin.f64 ky) 4)))) (*.f64 1/2 (*.f64 (pow.f64 kx 4) (*.f64 (pow.f64 (sin.f64 ky) 2) (sin.f64 th)))) (sin.f64 th)))
(fma.f64 -1/2 (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (*.f64 kx kx) (*.f64 (pow.f64 kx 6) (*.f64 (+.f64 (/.f64 2/45 (pow.f64 (sin.f64 ky) 4)) (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (sin.f64 ky) 8)) (/.f64 (-.f64 (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2) (/.f64 1/3 (pow.f64 (sin.f64 ky) 4))) (pow.f64 (sin.f64 ky) 2))) (+.f64 (/.f64 2/3 (pow.f64 (sin.f64 ky) 6)) (/.f64 1 (pow.f64 (sin.f64 ky) 8))))) (*.f64 (pow.f64 (sin.f64 ky) 2) (sin.f64 th))))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (sin.f64 ky) 6)) (-.f64 (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2) (/.f64 1/3 (pow.f64 (sin.f64 ky) 4)))) (*.f64 1/2 (*.f64 (pow.f64 kx 4) (*.f64 (pow.f64 (sin.f64 ky) 2) (sin.f64 th)))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sin.f64 ky) (*.f64 th (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))
(fma.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))
(*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))) (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))
(+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))))
(fma.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5))) (fma.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))))
(fma.f64 (sin.f64 ky) (*.f64 th (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))) (*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))) (+.f64 (*.f64 -1/6 (pow.f64 th 3)) (*.f64 1/120 (pow.f64 th 5)))))
(+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (+.f64 (*.f64 -1/5040 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 7)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))))
(fma.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5))) (fma.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3))) (fma.f64 -1/5040 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 7))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))))
(+.f64 (*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))) (+.f64 th (*.f64 -1/5040 (pow.f64 th 7)))) (*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))) (+.f64 (*.f64 -1/6 (pow.f64 th 3)) (*.f64 1/120 (pow.f64 th 5)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))

eval153.0ms (0.3%)

Compiler

Compiled 9715 to 4672 computations (51.9% saved)

prune85.0ms (0.2%)

Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New35023373
Fresh000
Picked101
Done011
Total35124375
Error
0.0b
Counts
375 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
46.2b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
0.4b
(*.f64 (sin.f64 ky) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) -1))
29.3b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
48.0b
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
46.2b
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
34.4b
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
48.6b
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
▶0.2b
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
▶6.2b
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
✓0.3b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
0.3b
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
2.1b
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
▶49.6b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
▶49.6b
(sin.f64 th)
0.3b
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
25.6b
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))) 2)
1.3b
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))) 3)
3.7b
(/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2))) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
13.3b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
0.4b
(*.f64 (/.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sin.f64 th))
▶1.9b
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
0.4b
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
9.2b
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
48.0b
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
Compiler

Compiled 696 to 479 computations (31.2% saved)

localize17.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 kx)
0.0b
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓0.2b
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓0.2b
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
Compiler

Compiled 36 to 9 computations (75% saved)

series11.0ms (0%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
2.0ms
kx
@0
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
2.0ms
ky
@0
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
1.0ms
ky
@inf
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
1.0ms
ky
@0
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
1.0ms
ky
@-inf
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))

rewrite64.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
525×log-prod_binary64
408×exp-prod_binary64
301×pow-prod-down_binary64
277×pow2_binary64
195×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
120331
2260031
Stop Event
1×node limit
Counts
2 → 82
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)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 1) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))) 2)) (cbrt.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))) (sqrt.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 ky) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (*.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) -2)) (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 ky)) (/.f64 1 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) 1) (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) -2) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) -1/2) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2)) (cbrt.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) (sqrt.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1) 1))))))

simplify127.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
915×fma-def_binary64
670×associate-*l*_binary64
402×times-frac_binary64
385×distribute-rgt-in_binary64
373×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01902853
16052823
222502658
Stop Event
1×node limit
Counts
142 → 123
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5)) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5)) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 (sin.f64 kx) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 2))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)) (pow.f64 (sin.f64 kx) 3)))))) (pow.f64 ky 7)) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(sin.f64 th)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (+.f64 (sin.f64 th) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 (sin.f64 ky) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2))))) (pow.f64 (sin.f64 ky) 2))) (*.f64 1/4 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 4))))) (pow.f64 kx 6))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))
(+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))))
(+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (+.f64 (*.f64 -1/5040 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 7)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 ky (sin.f64 kx))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 ky 3) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sin.f64 kx) 3))) (*.f64 1/6 (/.f64 1 (sin.f64 kx)))))) (/.f64 ky (sin.f64 kx)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 ky 3) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sin.f64 kx) 3))) (*.f64 1/6 (/.f64 1 (sin.f64 kx)))))) (+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 1 (sin.f64 kx))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 3))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sin.f64 kx) 3))) (*.f64 1/6 (/.f64 1 (sin.f64 kx)))) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 ky 5)) (/.f64 ky (sin.f64 kx))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (pow.f64 (sin.f64 kx) 3))) (+.f64 (*.f64 1/5040 (/.f64 1 (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/120 (/.f64 1 (sin.f64 kx))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 3))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sin.f64 kx) 3))) (*.f64 1/6 (/.f64 1 (sin.f64 kx)))) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 (sin.f64 kx) 2))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sin.f64 kx) 3))) (*.f64 1/6 (/.f64 1 (sin.f64 kx)))) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 2)))))) (pow.f64 ky 7))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 ky 3) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sin.f64 kx) 3))) (*.f64 1/6 (/.f64 1 (sin.f64 kx)))))) (+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 1 (sin.f64 kx))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 3))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sin.f64 kx) 3))) (*.f64 1/6 (/.f64 1 (sin.f64 kx)))) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 ky 5)) (/.f64 ky (sin.f64 kx)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
1
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))) 1)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4)) 1))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4)) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 (sin.f64 ky) 2))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 (sin.f64 ky) 2))) (*.f64 1/4 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 4))))) (pow.f64 kx 6))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
Outputs
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))
(+.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))
(fma.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 -1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (pow.f64 ky 3) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))))
(fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky (*.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 ky 3)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5)) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3))))
(fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1/120) (fma.f64 1/2 (/.f64 (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))))))) (pow.f64 ky 5) (+.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3))))
(fma.f64 (-.f64 (/.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 th))) (fma.f64 1/2 (/.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 -1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (pow.f64 (sin.f64 kx) 2)) (*.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))) (pow.f64 ky 5) (fma.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 -1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (pow.f64 ky 3) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))))
(fma.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 ky 3) (fma.f64 (-.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) 1/120)) (fma.f64 1/2 (/.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 (sin.f64 kx) 2)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6)))) (pow.f64 ky 5) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))))
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(fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1/120) (fma.f64 1/2 (/.f64 (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))))))) (pow.f64 ky 5) (+.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) -1/5040) (fma.f64 1/2 (/.f64 (-.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1/120) (fma.f64 1/2 (/.f64 (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))))))) (pow.f64 (sin.f64 kx) 2)) (fma.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (/.f64 (pow.f64 (sin.f64 kx) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (*.f64 1/2 (/.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (pow.f64 (sin.f64 kx) 3) (sin.f64 th))))))) (pow.f64 ky 7) (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))))
(+.f64 (fma.f64 (-.f64 (/.f64 -1/5040 (/.f64 (sin.f64 kx) (sin.f64 th))) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 th))) (fma.f64 1/2 (/.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 -1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (pow.f64 (sin.f64 kx) 2)) (*.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))) (pow.f64 (sin.f64 kx) 2)) (fma.f64 1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 2/45 (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))))) (*.f64 -1/2 (/.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 -1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (/.f64 (pow.f64 (sin.f64 kx) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))))) (pow.f64 ky 7) (*.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 -1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (pow.f64 ky 3))) (fma.f64 (-.f64 (/.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 th))) (fma.f64 1/2 (/.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 -1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (pow.f64 (sin.f64 kx) 2)) (*.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))) (pow.f64 ky 5) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))))
(fma.f64 (-.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) 1/120)) (fma.f64 1/2 (/.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 (sin.f64 kx) 2)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6)))) (pow.f64 ky 5) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) -1/5040 (-.f64 (*.f64 -1/2 (/.f64 (-.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) 1/120)) (fma.f64 1/2 (/.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 (sin.f64 kx) 2)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6)))) (pow.f64 (sin.f64 kx) 2))) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (-.f64 2/45 (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 (sin.f64 kx) 2)) (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6))))) (pow.f64 ky 7) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky (*.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 ky 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(sin.f64 th)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th))
(fma.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th)) (sin.f64 th))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th)))
(fma.f64 -1 (*.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))))) (pow.f64 kx 4)) (fma.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th)))
(-.f64 (fma.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th)) (*.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)))) (pow.f64 kx 4)))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th)) (sin.f64 th)) (*.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (fma.f64 -1/2 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)) -1/6))) (pow.f64 kx 4)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (+.f64 (sin.f64 th) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 (sin.f64 ky) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2))))) (pow.f64 (sin.f64 ky) 2))) (*.f64 1/4 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 4))))) (pow.f64 kx 6))))))
(fma.f64 -1 (*.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))))) (pow.f64 kx 4)) (+.f64 (fma.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th)) (neg.f64 (*.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))))) (pow.f64 (sin.f64 ky) 2)) (fma.f64 1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)))))) (*.f64 1/4 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))))))) (pow.f64 kx 6)))))
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(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
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(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
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(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
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(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (*.f64 th (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (*.f64 th (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
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(+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))))
(fma.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5))) (fma.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 th (sin.f64 ky)))))
(fma.f64 1/120 (*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 th 5))) (fma.f64 -1/6 (*.f64 (sin.f64 ky) (*.f64 (pow.f64 th 3) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) (*.f64 (sin.f64 ky) (*.f64 th (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))))
(fma.f64 -1/6 (*.f64 (sin.f64 ky) (*.f64 (pow.f64 th 3) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))))) (*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))) (+.f64 th (*.f64 (pow.f64 th 5) 1/120))))
(+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (+.f64 (*.f64 -1/5040 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 7)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))))
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(+.f64 (*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))) (+.f64 th (*.f64 (pow.f64 th 7) -1/5040))) (*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))) (+.f64 (*.f64 (pow.f64 th 3) -1/6) (*.f64 (pow.f64 th 5) 1/120))))
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(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 ky (sin.f64 kx))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 ky 3) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sin.f64 kx) 3))) (*.f64 1/6 (/.f64 1 (sin.f64 kx)))))) (/.f64 ky (sin.f64 kx)))
(fma.f64 -1 (*.f64 (pow.f64 ky 3) (+.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 3)) (/.f64 1/6 (sin.f64 kx)))) (/.f64 ky (sin.f64 kx)))
(-.f64 (/.f64 ky (sin.f64 kx)) (*.f64 (pow.f64 ky 3) (+.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 3)) (/.f64 1/6 (sin.f64 kx)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 ky 3) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sin.f64 kx) 3))) (*.f64 1/6 (/.f64 1 (sin.f64 kx)))))) (+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 1 (sin.f64 kx))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 3))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sin.f64 kx) 3))) (*.f64 1/6 (/.f64 1 (sin.f64 kx)))) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 ky 5)) (/.f64 ky (sin.f64 kx))))
(fma.f64 -1 (*.f64 (pow.f64 ky 3) (+.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 3)) (/.f64 1/6 (sin.f64 kx)))) (fma.f64 (-.f64 (/.f64 1/120 (sin.f64 kx)) (*.f64 -1/2 (+.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 3)) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 3)) (/.f64 1/6 (sin.f64 kx))) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 ky 5) (/.f64 ky (sin.f64 kx))))
(-.f64 (fma.f64 (pow.f64 ky 5) (+.f64 (/.f64 1/120 (sin.f64 kx)) (*.f64 1/2 (+.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 3)) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 3)) (/.f64 1/6 (sin.f64 kx))) (pow.f64 (sin.f64 kx) 2))))) (/.f64 ky (sin.f64 kx))) (*.f64 (pow.f64 ky 3) (+.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 3)) (/.f64 1/6 (sin.f64 kx)))))
(-.f64 (fma.f64 (pow.f64 ky 5) (-.f64 (-.f64 (/.f64 1/120 (sin.f64 kx)) (/.f64 (+.f64 (/.f64 -1/4 (pow.f64 (sin.f64 kx) 3)) (/.f64 -1/12 (sin.f64 kx))) (pow.f64 (sin.f64 kx) 2))) (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6) (pow.f64 (sin.f64 kx) 3))) (/.f64 ky (sin.f64 kx))) (*.f64 (pow.f64 ky 3) (+.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 3)) (/.f64 1/6 (sin.f64 kx)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (pow.f64 (sin.f64 kx) 3))) (+.f64 (*.f64 1/5040 (/.f64 1 (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/120 (/.f64 1 (sin.f64 kx))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 3))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sin.f64 kx) 3))) (*.f64 1/6 (/.f64 1 (sin.f64 kx)))) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 (sin.f64 kx) 2))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sin.f64 kx) 3))) (*.f64 1/6 (/.f64 1 (sin.f64 kx)))) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 2)))))) (pow.f64 ky 7))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 ky 3) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sin.f64 kx) 3))) (*.f64 1/6 (/.f64 1 (sin.f64 kx)))))) (+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 1 (sin.f64 kx))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 3))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sin.f64 kx) 3))) (*.f64 1/6 (/.f64 1 (sin.f64 kx)))) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 ky 5)) (/.f64 ky (sin.f64 kx)))))
(fma.f64 -1 (*.f64 (pow.f64 ky 7) (fma.f64 1/2 (/.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (pow.f64 (sin.f64 kx) 3)) (+.f64 (/.f64 1/5040 (sin.f64 kx)) (*.f64 1/2 (+.f64 (/.f64 (-.f64 (/.f64 1/120 (sin.f64 kx)) (*.f64 -1/2 (+.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 3)) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 3)) (/.f64 1/6 (sin.f64 kx))) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 (sin.f64 kx) 2)) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 3)) (/.f64 1/6 (sin.f64 kx))) (/.f64 (pow.f64 (sin.f64 kx) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))))))))) (fma.f64 -1 (*.f64 (pow.f64 ky 3) (+.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 3)) (/.f64 1/6 (sin.f64 kx)))) (fma.f64 (-.f64 (/.f64 1/120 (sin.f64 kx)) (*.f64 -1/2 (+.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 3)) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 3)) (/.f64 1/6 (sin.f64 kx))) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 ky 5) (/.f64 ky (sin.f64 kx)))))
(-.f64 (-.f64 (fma.f64 (pow.f64 ky 5) (+.f64 (/.f64 1/120 (sin.f64 kx)) (*.f64 1/2 (+.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 3)) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 3)) (/.f64 1/6 (sin.f64 kx))) (pow.f64 (sin.f64 kx) 2))))) (/.f64 ky (sin.f64 kx))) (*.f64 (pow.f64 ky 3) (+.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 3)) (/.f64 1/6 (sin.f64 kx))))) (*.f64 (pow.f64 ky 7) (fma.f64 1/2 (/.f64 (+.f64 2/45 (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (pow.f64 (sin.f64 kx) 3)) (fma.f64 1/2 (+.f64 (/.f64 (+.f64 (/.f64 1/120 (sin.f64 kx)) (*.f64 1/2 (+.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 3)) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 3)) (/.f64 1/6 (sin.f64 kx))) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 (sin.f64 kx) 2)) (*.f64 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 3)) (/.f64 1/6 (sin.f64 kx))) (pow.f64 (sin.f64 kx) 2)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (/.f64 1/5040 (sin.f64 kx))))))
(-.f64 (fma.f64 (pow.f64 ky 5) (-.f64 (-.f64 (/.f64 1/120 (sin.f64 kx)) (/.f64 (+.f64 (/.f64 -1/4 (pow.f64 (sin.f64 kx) 3)) (/.f64 -1/12 (sin.f64 kx))) (pow.f64 (sin.f64 kx) 2))) (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6) (pow.f64 (sin.f64 kx) 3))) (/.f64 ky (sin.f64 kx))) (fma.f64 (pow.f64 ky 7) (fma.f64 1/2 (/.f64 (-.f64 2/45 (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6) (pow.f64 (sin.f64 kx) 2))) (pow.f64 (sin.f64 kx) 3)) (fma.f64 1/2 (fma.f64 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 3)) (/.f64 1/6 (sin.f64 kx))) (pow.f64 (sin.f64 kx) 2)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (/.f64 (-.f64 (-.f64 (/.f64 1/120 (sin.f64 kx)) (/.f64 (+.f64 (/.f64 -1/4 (pow.f64 (sin.f64 kx) 3)) (/.f64 -1/12 (sin.f64 kx))) (pow.f64 (sin.f64 kx) 2))) (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6) (pow.f64 (sin.f64 kx) 3))) (pow.f64 (sin.f64 kx) 2))) (/.f64 1/5040 (sin.f64 kx)))) (*.f64 (pow.f64 ky 3) (+.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 3)) (/.f64 1/6 (sin.f64 kx))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))))
1
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))) 1)
(fma.f64 -1/2 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)) 1)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4)) 1))
(fma.f64 -1/2 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)) (fma.f64 (+.f64 (/.f64 1/4 (pow.f64 (sin.f64 ky) 4)) (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4) 1))
(fma.f64 -1/2 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)) (fma.f64 (pow.f64 kx 4) (+.f64 (/.f64 1/4 (pow.f64 (sin.f64 ky) 4)) (/.f64 (*.f64 1/2 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (pow.f64 (sin.f64 ky) 2))) 1))
(fma.f64 -1/2 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)) (fma.f64 (pow.f64 kx 4) (-.f64 (/.f64 1/4 (pow.f64 (sin.f64 ky) 4)) (/.f64 (fma.f64 -1/2 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)) -1/6) (pow.f64 (sin.f64 ky) 2))) 1))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4)) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 (sin.f64 ky) 2))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 (sin.f64 ky) 2))) (*.f64 1/4 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 4))))) (pow.f64 kx 6))))))
(fma.f64 -1/2 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)) (+.f64 (fma.f64 (+.f64 (/.f64 1/4 (pow.f64 (sin.f64 ky) 4)) (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4) 1) (neg.f64 (*.f64 (pow.f64 kx 6) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/4 (pow.f64 (sin.f64 ky) 4)) (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 (sin.f64 ky) 2)) (fma.f64 1/2 (/.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 (sin.f64 ky) 2)) (*.f64 1/4 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 4)))))))))
(fma.f64 -1/2 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)) (-.f64 (fma.f64 (pow.f64 kx 4) (+.f64 (/.f64 1/4 (pow.f64 (sin.f64 ky) 4)) (/.f64 (*.f64 1/2 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (pow.f64 (sin.f64 ky) 2))) 1) (*.f64 (pow.f64 kx 6) (fma.f64 1/2 (-.f64 (/.f64 1/4 (*.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 ky) 4))) (/.f64 -1/2 (/.f64 (pow.f64 (sin.f64 ky) 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))))) (fma.f64 1/2 (-.f64 (/.f64 2/45 (pow.f64 (sin.f64 ky) 2)) (/.f64 -1/2 (/.f64 (pow.f64 (sin.f64 ky) 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))))) (*.f64 1/4 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 4))))))))
(-.f64 (fma.f64 -1/2 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)) (fma.f64 (pow.f64 kx 4) (-.f64 (/.f64 1/4 (pow.f64 (sin.f64 ky) 4)) (/.f64 (fma.f64 -1/2 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)) -1/6) (pow.f64 (sin.f64 ky) 2))) 1)) (*.f64 (pow.f64 kx 6) (fma.f64 1/2 (+.f64 (-.f64 (/.f64 1/4 (pow.f64 (pow.f64 (sin.f64 ky) 2) 3)) (/.f64 (fma.f64 -1/2 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)) -1/6) (pow.f64 (sin.f64 ky) 4))) (-.f64 (/.f64 2/45 (pow.f64 (sin.f64 ky) 2)) (/.f64 (fma.f64 -1/2 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)) -1/6) (pow.f64 (sin.f64 ky) 4)))) (/.f64 (fma.f64 1/4 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)) 1/12) (pow.f64 (sin.f64 ky) 4)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))))

localize6.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize11.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (sin.f64 th) (sin.f64 ky))
✓0.3b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
Compiler

Compiled 22 to 7 computations (68.2% saved)

series6.0ms (0%)

Counts
2 → 32
Calls

12 calls:

TimeVariablePointExpression
1.0ms
ky
@0
(/.f64 (sin.f64 th) (sin.f64 ky))
1.0ms
th
@0
(/.f64 (sin.f64 th) (sin.f64 ky))
1.0ms
ky
@-inf
(/.f64 (sin.f64 th) (sin.f64 ky))
1.0ms
ky
@inf
(/.f64 (sin.f64 th) (sin.f64 ky))
1.0ms
th
@-inf
(/.f64 (sin.f64 th) (sin.f64 ky))

rewrite63.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
788×pow1_binary64
726×add-log-exp_binary64
726×log1p-expm1-u_binary64
726×expm1-log1p-u_binary64
709×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721
114421
2191121
Stop Event
1×node limit
Counts
2 → 53
Calls
Call 1
Inputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 th) (sin.f64 ky))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 1) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)) (cbrt.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 ky)) (neg.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))) (neg.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 ky))) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) 3) (pow.f64 (sin.f64 ky) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 th) (/.f64 1 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 th) (sin.f64 ky))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (sin.f64 ky))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (sin.f64 ky))) 2) (cbrt.f64 (/.f64 (sin.f64 th) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (*.f64 (cbrt.f64 (sin.f64 th)) (/.f64 1 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (/.f64 (sin.f64 th) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 th)) (*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 1 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 th)) (/.f64 1 (neg.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 th)) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 th)) 1) (/.f64 (sqrt.f64 (sin.f64 th)) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)) (cbrt.f64 (/.f64 (sin.f64 th) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)) (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 ky))) (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (sqrt.f64 (sin.f64 ky))) (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (sin.f64 ky))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 th) (sin.f64 ky))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (sin.f64 ky) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 ky))))))))

simplify89.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
531×cancel-sign-sub-inv_binary64
471×fma-neg_binary64
469×sub-neg_binary64
437×distribute-neg-in_binary64
352×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060309
1176300
2526291
32063287
47039287
Stop Event
1×node limit
Counts
85 → 75
Calls
Call 1
Inputs
(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 (*.f64 -1/6 (pow.f64 th 3)) th)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) (+.f64 (*.f64 1/120 (pow.f64 th 5)) th))
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) (+.f64 (*.f64 -1/5040 (pow.f64 th 7)) (+.f64 (*.f64 1/120 (pow.f64 th 5)) 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)
(/.f64 th (sin.f64 ky))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 ky))) (/.f64 th (sin.f64 ky)))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 th 5) (sin.f64 ky))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 ky))) (/.f64 th (sin.f64 ky))))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 th 5) (sin.f64 ky))) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 th 7) (sin.f64 ky))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 ky))) (/.f64 th (sin.f64 ky)))))
(/.f64 (sin.f64 th) ky)
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (/.f64 (sin.f64 th) ky))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (+.f64 (/.f64 (sin.f64 th) ky) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (sin.f64 th)) (*.f64 1/120 (sin.f64 th))) (pow.f64 ky 3)))))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (+.f64 (/.f64 (sin.f64 th) ky) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (sin.f64 th)) (*.f64 1/120 (sin.f64 th))) (pow.f64 ky 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 -1/36 (sin.f64 th)) (*.f64 1/120 (sin.f64 th)))) (+.f64 (*.f64 -1/5040 (sin.f64 th)) (*.f64 1/720 (sin.f64 th)))) (pow.f64 ky 5))))))
Outputs
(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 (*.f64 -1/6 (pow.f64 th 3)) th)
(fma.f64 -1/6 (pow.f64 th 3) th)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) (+.f64 (*.f64 1/120 (pow.f64 th 5)) th))
(fma.f64 -1/6 (pow.f64 th 3) (fma.f64 1/120 (pow.f64 th 5) th))
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) (+.f64 (*.f64 -1/5040 (pow.f64 th 7)) (+.f64 (*.f64 1/120 (pow.f64 th 5)) th)))
(fma.f64 -1/6 (pow.f64 th 3) (fma.f64 -1/5040 (pow.f64 th 7) (fma.f64 1/120 (pow.f64 th 5) th)))
(fma.f64 -1/6 (pow.f64 th 3) (fma.f64 1/120 (pow.f64 th 5) (fma.f64 -1/5040 (pow.f64 th 7) 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)
(/.f64 th (sin.f64 ky))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 ky))) (/.f64 th (sin.f64 ky)))
(fma.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 ky)) (/.f64 th (sin.f64 ky)))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 th 5) (sin.f64 ky))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 ky))) (/.f64 th (sin.f64 ky))))
(fma.f64 1/120 (/.f64 (pow.f64 th 5) (sin.f64 ky)) (fma.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 ky)) (/.f64 th (sin.f64 ky))))
(fma.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 ky)) (fma.f64 1/120 (/.f64 (pow.f64 th 5) (sin.f64 ky)) (/.f64 th (sin.f64 ky))))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 th 5) (sin.f64 ky))) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 th 7) (sin.f64 ky))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 ky))) (/.f64 th (sin.f64 ky)))))
(fma.f64 1/120 (/.f64 (pow.f64 th 5) (sin.f64 ky)) (fma.f64 -1/5040 (/.f64 (pow.f64 th 7) (sin.f64 ky)) (fma.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 ky)) (/.f64 th (sin.f64 ky)))))
(fma.f64 -1/5040 (/.f64 (pow.f64 th 7) (sin.f64 ky)) (fma.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 ky)) (fma.f64 1/120 (/.f64 (pow.f64 th 5) (sin.f64 ky)) (/.f64 th (sin.f64 ky)))))
(fma.f64 1/120 (/.f64 (pow.f64 th 5) (sin.f64 ky)) (fma.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 ky)) (fma.f64 -1/5040 (/.f64 (pow.f64 th 7) (sin.f64 ky)) (/.f64 th (sin.f64 ky)))))
(/.f64 (sin.f64 th) ky)
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (/.f64 (sin.f64 th) ky))
(fma.f64 1/6 (*.f64 (sin.f64 th) ky) (/.f64 (sin.f64 th) ky))
(fma.f64 (sin.f64 th) (*.f64 ky 1/6) (/.f64 (sin.f64 th) ky))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (+.f64 (/.f64 (sin.f64 th) ky) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (sin.f64 th)) (*.f64 1/120 (sin.f64 th))) (pow.f64 ky 3)))))
(+.f64 (fma.f64 1/6 (*.f64 (sin.f64 th) ky) (/.f64 (sin.f64 th) ky)) (neg.f64 (*.f64 (*.f64 (sin.f64 th) -7/360) (pow.f64 ky 3))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 th) ky) (/.f64 (sin.f64 th) ky)) (*.f64 (sin.f64 th) (*.f64 -7/360 (pow.f64 ky 3))))
(fma.f64 (pow.f64 ky 3) (*.f64 (sin.f64 th) 7/360) (fma.f64 (sin.f64 th) (*.f64 ky 1/6) (/.f64 (sin.f64 th) ky)))
(+.f64 (/.f64 (sin.f64 th) ky) (*.f64 (sin.f64 th) (-.f64 (*.f64 ky 1/6) (*.f64 (pow.f64 ky 3) -7/360))))
(+.f64 (/.f64 (sin.f64 th) ky) (*.f64 (sin.f64 th) (+.f64 (*.f64 ky 1/6) (*.f64 (pow.f64 ky 3) 7/360))))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (+.f64 (/.f64 (sin.f64 th) ky) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (sin.f64 th)) (*.f64 1/120 (sin.f64 th))) (pow.f64 ky 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 -1/36 (sin.f64 th)) (*.f64 1/120 (sin.f64 th)))) (+.f64 (*.f64 -1/5040 (sin.f64 th)) (*.f64 1/720 (sin.f64 th)))) (pow.f64 ky 5))))))
(+.f64 (fma.f64 1/6 (*.f64 (sin.f64 th) ky) (/.f64 (sin.f64 th) ky)) (fma.f64 -1 (*.f64 (*.f64 (sin.f64 th) -7/360) (pow.f64 ky 3)) (neg.f64 (*.f64 (fma.f64 1/6 (*.f64 (sin.f64 th) -7/360) (*.f64 (sin.f64 th) 1/840)) (pow.f64 ky 5)))))
(fma.f64 1/6 (*.f64 (sin.f64 th) ky) (fma.f64 -1 (fma.f64 (*.f64 (sin.f64 th) -7/360) (pow.f64 ky 3) (*.f64 (fma.f64 (sin.f64 th) 1/840 (*.f64 (sin.f64 th) -7/2160)) (pow.f64 ky 5))) (/.f64 (sin.f64 th) ky)))
(-.f64 (fma.f64 (sin.f64 th) (*.f64 ky 1/6) (/.f64 (sin.f64 th) ky)) (fma.f64 (sin.f64 th) (*.f64 (pow.f64 ky 3) -7/360) (*.f64 (*.f64 (sin.f64 th) -31/15120) (pow.f64 ky 5))))
(+.f64 (/.f64 (sin.f64 th) ky) (fma.f64 (pow.f64 ky 5) (*.f64 (sin.f64 th) 31/15120) (*.f64 (sin.f64 th) (-.f64 (*.f64 ky 1/6) (*.f64 (pow.f64 ky 3) -7/360)))))
(+.f64 (/.f64 (sin.f64 th) ky) (fma.f64 (pow.f64 ky 5) (*.f64 (sin.f64 th) 31/15120) (*.f64 (sin.f64 th) (+.f64 (*.f64 ky 1/6) (*.f64 (pow.f64 ky 3) 7/360)))))

localize17.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 kx)
0.0b
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓0.2b
(*.f64 (sin.f64 ky) (sin.f64 th))
✓1.9b
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
Compiler

Compiled 33 to 9 computations (72.7% saved)

series6.0ms (0%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
1.0ms
ky
@0
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
0.0ms
kx
@0
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
0.0ms
th
@inf
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
0.0ms
th
@0
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
0.0ms
ky
@0
(*.f64 (sin.f64 ky) (sin.f64 th))

rewrite71.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
562×log-prod_binary64
373×prod-diff_binary64
316×pow-prod-down_binary64
293×pow2_binary64
206×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
121026
2289126
Stop Event
1×node limit
Counts
2 → 79
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (sin.f64 th))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) 2) (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (*.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) (sqrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))) (/.f64 1 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sin.f64 ky) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) 1) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) 1) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) -2) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 2) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) -1/2) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 2) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 3) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 3) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 ky) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 th)) (sin.f64 ky))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 th)) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 th)) (sin.f64 ky)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 th)) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (-.f64 ky th)) 2) (/.f64 (cos.f64 (+.f64 ky th)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))) 2))))))

simplify101.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
802×fma-def_binary64
506×associate-*l*_binary64
476×associate-*r*_binary64
341×fma-neg_binary64
277×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01512151
14722129
216191974
372571974
Stop Event
1×node limit
Counts
139 → 120
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5)) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5)) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 (sin.f64 kx) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 2))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)) (pow.f64 (sin.f64 kx) 3)))))) (pow.f64 ky 7)) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))
(+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))))
(+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (+.f64 (*.f64 -1/5040 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 7)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(sin.f64 th)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (+.f64 (sin.f64 th) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 (sin.f64 ky) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2))))) (pow.f64 (sin.f64 ky) 2))) (*.f64 1/4 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 4))))) (pow.f64 kx 6))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) ky)
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 th) (pow.f64 ky 3))) (*.f64 (sin.f64 th) ky))
(+.f64 (*.f64 1/120 (*.f64 (sin.f64 th) (pow.f64 ky 5))) (+.f64 (*.f64 -1/6 (*.f64 (sin.f64 th) (pow.f64 ky 3))) (*.f64 (sin.f64 th) ky)))
(+.f64 (*.f64 1/120 (*.f64 (sin.f64 th) (pow.f64 ky 5))) (+.f64 (*.f64 -1/5040 (*.f64 (sin.f64 th) (pow.f64 ky 7))) (+.f64 (*.f64 -1/6 (*.f64 (sin.f64 th) (pow.f64 ky 3))) (*.f64 (sin.f64 th) ky))))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 ky) th)
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 ky) (pow.f64 th 3))) (*.f64 (sin.f64 ky) th))
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 ky) (pow.f64 th 3))) (+.f64 (*.f64 (sin.f64 ky) th) (*.f64 1/120 (*.f64 (sin.f64 ky) (pow.f64 th 5)))))
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 ky) (pow.f64 th 3))) (+.f64 (*.f64 (sin.f64 ky) th) (+.f64 (*.f64 -1/5040 (*.f64 (sin.f64 ky) (pow.f64 th 7))) (*.f64 1/120 (*.f64 (sin.f64 ky) (pow.f64 th 5))))))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
Outputs
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))
(+.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (*.f64 (+.f64 (/.f64 (*.f64 -1/6 (sin.f64 th)) (sin.f64 kx)) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))
(fma.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) -1/2)) (pow.f64 ky 3) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)))
(fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky (*.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 ky 3)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5)) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3))))
(fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1/120) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 (*.f64 -1/6 (sin.f64 th)) (sin.f64 kx)) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))))))) (pow.f64 ky 5) (+.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (*.f64 (+.f64 (/.f64 (*.f64 -1/6 (sin.f64 th)) (sin.f64 kx)) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3))))
(fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1/120) (fma.f64 1/2 (/.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) -1/2)) (pow.f64 (sin.f64 kx) 2)) (*.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))) (pow.f64 ky 5) (fma.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) -1/2)) (pow.f64 ky 3) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
(fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky (fma.f64 (-.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1/120 (/.f64 -1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2))))))) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6))) (pow.f64 ky 5) (*.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 ky 3))))
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(fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1/120) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 (*.f64 -1/6 (sin.f64 th)) (sin.f64 kx)) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))))))) (pow.f64 ky 5) (+.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (fma.f64 (-.f64 (/.f64 (*.f64 -1/5040 (sin.f64 th)) (sin.f64 kx)) (fma.f64 1/2 (/.f64 (-.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1/120) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 (*.f64 -1/6 (sin.f64 th)) (sin.f64 kx)) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))))))) (pow.f64 (sin.f64 kx) 2)) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 (*.f64 -1/6 (sin.f64 th)) (sin.f64 kx)) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (/.f64 (pow.f64 (sin.f64 kx) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (*.f64 1/2 (/.f64 (+.f64 2/45 (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (pow.f64 (sin.f64 kx) 3) (sin.f64 th))))))) (pow.f64 ky 7) (*.f64 (+.f64 (/.f64 (*.f64 -1/6 (sin.f64 th)) (sin.f64 kx)) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))))
(+.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (sin.f64 th) -1/5040) (sin.f64 kx)) (fma.f64 1/2 (/.f64 (-.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1/120) (fma.f64 1/2 (/.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) -1/2)) (pow.f64 (sin.f64 kx) 2)) (*.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))) (pow.f64 (sin.f64 kx) 2)) (fma.f64 1/2 (/.f64 (+.f64 2/45 (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (pow.f64 (sin.f64 kx) 3) (sin.f64 th))) (/.f64 (*.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) -1/2)) -1/2) (/.f64 (pow.f64 (sin.f64 kx) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))))))) (pow.f64 ky 7) (*.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) -1/2)) (pow.f64 ky 3))) (fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1/120) (fma.f64 1/2 (/.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) -1/2)) (pow.f64 (sin.f64 kx) 2)) (*.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))) (pow.f64 ky 5) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
(fma.f64 (-.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1/120 (/.f64 -1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2))))))) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6))) (pow.f64 ky 5) (fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) -1/5040) (fma.f64 1/2 (/.f64 (-.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1/120 (/.f64 -1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2))))))) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6))) (pow.f64 (sin.f64 kx) 2)) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (-.f64 2/45 (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 (sin.f64 kx) 2)) (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6))))) (pow.f64 ky 7) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky (*.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 ky 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
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(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 -1/6 (*.f64 (sin.f64 ky) (pow.f64 th 3))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (+.f64 (*.f64 1/120 (pow.f64 th 5)) th))))
(+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (+.f64 (*.f64 -1/5040 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 7)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))))
(fma.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5))) (fma.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3))) (fma.f64 -1/5040 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 7))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 th (sin.f64 ky))))))
(fma.f64 1/120 (*.f64 (sin.f64 ky) (*.f64 (pow.f64 th 5) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) (fma.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3))) (fma.f64 -1/5040 (*.f64 (sin.f64 ky) (*.f64 (pow.f64 th 7) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) (*.f64 (sin.f64 ky) (*.f64 th (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (+.f64 (*.f64 -1/5040 (pow.f64 th 7)) th))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (+.f64 (*.f64 1/120 (pow.f64 th 5)) (*.f64 -1/6 (pow.f64 th 3))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(sin.f64 th)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th))
(fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 kx kx))) (sin.f64 th))
(fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (*.f64 kx kx)) (sin.f64 th))
(fma.f64 -1/2 (*.f64 (*.f64 kx kx) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th)))
(fma.f64 -1 (*.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))))) (pow.f64 kx 4)) (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 kx kx))) (sin.f64 th)))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (*.f64 kx kx)) (sin.f64 th)) (*.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (/.f64 (*.f64 (sin.f64 th) -1/4) (pow.f64 (sin.f64 ky) 4))) (pow.f64 kx 4)))
(-.f64 (fma.f64 -1/2 (*.f64 (*.f64 kx kx) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th)) (*.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (fma.f64 -1/2 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)) -1/6))) (pow.f64 kx 4)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (+.f64 (sin.f64 th) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 (sin.f64 ky) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2))))) (pow.f64 (sin.f64 ky) 2))) (*.f64 1/4 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 4))))) (pow.f64 kx 6))))))
(fma.f64 -1 (*.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))))) (pow.f64 kx 4)) (+.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 kx kx))) (sin.f64 th)) (neg.f64 (*.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))))) (pow.f64 (sin.f64 ky) 2)) (fma.f64 1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 2/45 (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)))))) (*.f64 1/4 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))))))) (pow.f64 kx 6)))))
(-.f64 (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (*.f64 kx kx)) (sin.f64 th)) (*.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (/.f64 (*.f64 (sin.f64 th) -1/4) (pow.f64 (sin.f64 ky) 4))) (pow.f64 (sin.f64 ky) 2)) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 2/45 (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2))))) (*.f64 1/4 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))))) (pow.f64 kx 6))) (*.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (/.f64 (*.f64 (sin.f64 th) -1/4) (pow.f64 (sin.f64 ky) 4))) (pow.f64 kx 4)))
(fma.f64 -1/2 (*.f64 (*.f64 kx kx) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2))) (-.f64 (fma.f64 (fma.f64 1/2 (*.f64 (-.f64 2/45 (/.f64 (fma.f64 -1/2 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)) -1/6) (pow.f64 (sin.f64 ky) 2))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2))) (fma.f64 -1/2 (/.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (fma.f64 -1/2 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)) -1/6))) (pow.f64 (sin.f64 ky) 2)) (*.f64 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) 1/4) (+.f64 1/3 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)))))) (neg.f64 (pow.f64 kx 6)) (sin.f64 th)) (*.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (fma.f64 -1/2 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)) -1/6))) (pow.f64 kx 4))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 (sin.f64 th) ky)
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 th) (pow.f64 ky 3))) (*.f64 (sin.f64 th) ky))
(fma.f64 -1/6 (*.f64 (sin.f64 th) (pow.f64 ky 3)) (*.f64 (sin.f64 th) ky))
(fma.f64 (sin.f64 th) ky (*.f64 (sin.f64 th) (*.f64 (pow.f64 ky 3) -1/6)))
(*.f64 (sin.f64 th) (+.f64 ky (*.f64 -1/6 (pow.f64 ky 3))))
(+.f64 (*.f64 1/120 (*.f64 (sin.f64 th) (pow.f64 ky 5))) (+.f64 (*.f64 -1/6 (*.f64 (sin.f64 th) (pow.f64 ky 3))) (*.f64 (sin.f64 th) ky)))
(fma.f64 1/120 (*.f64 (sin.f64 th) (pow.f64 ky 5)) (fma.f64 -1/6 (*.f64 (sin.f64 th) (pow.f64 ky 3)) (*.f64 (sin.f64 th) ky)))
(fma.f64 1/120 (*.f64 (sin.f64 th) (pow.f64 ky 5)) (fma.f64 (sin.f64 th) ky (*.f64 (sin.f64 th) (*.f64 (pow.f64 ky 3) -1/6))))
(fma.f64 (sin.f64 th) (*.f64 -1/6 (pow.f64 ky 3)) (*.f64 (sin.f64 th) (+.f64 (*.f64 1/120 (pow.f64 ky 5)) ky)))
(+.f64 (*.f64 1/120 (*.f64 (sin.f64 th) (pow.f64 ky 5))) (+.f64 (*.f64 -1/5040 (*.f64 (sin.f64 th) (pow.f64 ky 7))) (+.f64 (*.f64 -1/6 (*.f64 (sin.f64 th) (pow.f64 ky 3))) (*.f64 (sin.f64 th) ky))))
(fma.f64 1/120 (*.f64 (sin.f64 th) (pow.f64 ky 5)) (fma.f64 -1/5040 (*.f64 (sin.f64 th) (pow.f64 ky 7)) (fma.f64 -1/6 (*.f64 (sin.f64 th) (pow.f64 ky 3)) (*.f64 (sin.f64 th) ky))))
(fma.f64 1/120 (*.f64 (sin.f64 th) (pow.f64 ky 5)) (fma.f64 -1/5040 (*.f64 (sin.f64 th) (pow.f64 ky 7)) (fma.f64 (sin.f64 th) ky (*.f64 (sin.f64 th) (*.f64 (pow.f64 ky 3) -1/6)))))
(+.f64 (*.f64 (sin.f64 th) (+.f64 ky (*.f64 -1/6 (pow.f64 ky 3)))) (*.f64 (sin.f64 th) (+.f64 (*.f64 1/120 (pow.f64 ky 5)) (*.f64 -1/5040 (pow.f64 ky 7)))))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 ky) th)
(*.f64 th (sin.f64 ky))
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 ky) (pow.f64 th 3))) (*.f64 (sin.f64 ky) th))
(fma.f64 -1/6 (*.f64 (sin.f64 ky) (pow.f64 th 3)) (*.f64 th (sin.f64 ky)))
(fma.f64 th (sin.f64 ky) (*.f64 (*.f64 -1/6 (pow.f64 th 3)) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (+.f64 (*.f64 -1/6 (pow.f64 th 3)) th))
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 ky) (pow.f64 th 3))) (+.f64 (*.f64 (sin.f64 ky) th) (*.f64 1/120 (*.f64 (sin.f64 ky) (pow.f64 th 5)))))
(fma.f64 -1/6 (*.f64 (sin.f64 ky) (pow.f64 th 3)) (fma.f64 (sin.f64 ky) th (*.f64 1/120 (*.f64 (sin.f64 ky) (pow.f64 th 5)))))
(fma.f64 -1/6 (*.f64 (sin.f64 ky) (pow.f64 th 3)) (fma.f64 th (sin.f64 ky) (*.f64 (sin.f64 ky) (*.f64 (pow.f64 th 5) 1/120))))
(fma.f64 -1/6 (*.f64 (sin.f64 ky) (pow.f64 th 3)) (*.f64 (sin.f64 ky) (+.f64 (*.f64 1/120 (pow.f64 th 5)) th)))
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 ky) (pow.f64 th 3))) (+.f64 (*.f64 (sin.f64 ky) th) (+.f64 (*.f64 -1/5040 (*.f64 (sin.f64 ky) (pow.f64 th 7))) (*.f64 1/120 (*.f64 (sin.f64 ky) (pow.f64 th 5))))))
(fma.f64 -1/6 (*.f64 (sin.f64 ky) (pow.f64 th 3)) (fma.f64 (sin.f64 ky) th (fma.f64 -1/5040 (*.f64 (sin.f64 ky) (pow.f64 th 7)) (*.f64 1/120 (*.f64 (sin.f64 ky) (pow.f64 th 5))))))
(fma.f64 -1/6 (*.f64 (sin.f64 ky) (pow.f64 th 3)) (fma.f64 th (sin.f64 ky) (fma.f64 1/120 (*.f64 (sin.f64 ky) (pow.f64 th 5)) (*.f64 (pow.f64 th 7) (*.f64 -1/5040 (sin.f64 ky))))))
(+.f64 (*.f64 (sin.f64 ky) (+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)) (*.f64 (sin.f64 ky) (+.f64 (*.f64 1/120 (pow.f64 th 5)) (*.f64 -1/5040 (pow.f64 th 7)))))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 th) (sin.f64 ky))

localize67.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) 2))))
0.3b
(pow.f64 (sin.f64 ky) 2)
✓1.8b
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx))))
✓4.5b
(sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) 2)))
Compiler

Compiled 101 to 51 computations (49.5% saved)

series24.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
9.0ms
ky
@inf
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) 2))))
3.0ms
ky
@0
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) 2))))
1.0ms
ky
@0
(sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) 2)))
1.0ms
ky
@inf
(sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) 2)))
1.0ms
ky
@-inf
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) 2))))

rewrite99.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
710×log-prod_binary64
490×fma-def_binary64
272×expm1-udef_binary64
272×log1p-udef_binary64
271×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01461
132637
2457027
Stop Event
1×node limit
Counts
3 → 118
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) 2)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx))))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) 2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (cbrt.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2) 2) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 kx) 2) 2) (pow.f64 (sin.f64 ky) 4))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (pow.f64 (sin.f64 kx) 2) 3/2)) (hypot.f64 (pow.f64 (sin.f64 kx) 2) (sqrt.f64 (*.f64 (pow.f64 (sin.f64 ky) 2) (-.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) 2)) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 (*.f64 (cos.f64 (+.f64 kx kx)) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (+.f64 kx kx)) -1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 kx) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 kx) 2))) (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 kx) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 kx) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 kx) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 kx) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 kx) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 kx) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) 2)) (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 kx) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 kx) 2) 2)) (cbrt.f64 (pow.f64 (sin.f64 kx) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) 2)) (sqrt.f64 (pow.f64 (sin.f64 kx) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 kx) (sin.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) 3) 1/8)) (/.f64 1 (fma.f64 (*.f64 1/2 (cos.f64 (+.f64 kx kx))) (pow.f64 (cos.f64 kx) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) 2) 1/4)) (/.f64 1 (pow.f64 (cos.f64 kx) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 1/2 (cos.f64 (+.f64 kx kx))) (pow.f64 (cos.f64 kx) 2) 1/4) (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) 3) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (cos.f64 kx) 2) (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) 3) 1/8)) (fma.f64 (*.f64 1/2 (cos.f64 (+.f64 kx kx))) (pow.f64 (cos.f64 kx) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) 2) 1/4)) (pow.f64 (cos.f64 kx) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 (+.f64 kx kx))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) 3) 1/8))) (neg.f64 (fma.f64 (*.f64 1/2 (cos.f64 (+.f64 kx kx))) (pow.f64 (cos.f64 kx) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) 2) 1/4))) (neg.f64 (pow.f64 (cos.f64 kx) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 (*.f64 (cos.f64 (+.f64 kx kx)) -1/2) 3)) (+.f64 1/4 (-.f64 (*.f64 (*.f64 (cos.f64 (+.f64 kx kx)) -1/2) (*.f64 (cos.f64 (+.f64 kx kx)) -1/2)) (*.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 (*.f64 (cos.f64 (+.f64 kx kx)) -1/2) (*.f64 (cos.f64 (+.f64 kx kx)) -1/2))) (-.f64 1/2 (*.f64 (cos.f64 (+.f64 kx kx)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 kx) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 kx) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (sin.f64 kx) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (sin.f64 kx) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 kx) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 kx) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sin.f64 kx) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 kx) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 kx) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 kx))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (neg.f64 (cos.f64 (+.f64 kx kx))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (+.f64 kx kx)) -1/2 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 (+.f64 kx kx)) -1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) 2) (neg.f64 (cbrt.f64 (*.f64 1/2 (cos.f64 (+.f64 kx kx))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (neg.f64 (sqrt.f64 (*.f64 1/2 (cos.f64 (+.f64 kx kx))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (cos.f64 (+.f64 kx kx)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 (+.f64 kx kx)) -1/2)) (cbrt.f64 (*.f64 (cos.f64 (+.f64 kx kx)) -1/2))) (cbrt.f64 (*.f64 (cos.f64 (+.f64 kx kx)) -1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 (+.f64 kx kx)) -1/2)) (sqrt.f64 (*.f64 (cos.f64 (+.f64 kx kx)) -1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 1/2 (cos.f64 (+.f64 kx kx))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cos.f64 (+.f64 kx kx))) 1/2 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) 2)) (cbrt.f64 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 (cos.f64 (+.f64 kx kx))))) (sqrt.f64 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 kx kx))) 2)) (cbrt.f64 (cos.f64 (+.f64 kx kx))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (sqrt.f64 (cos.f64 (+.f64 kx kx)))) (sqrt.f64 (cos.f64 (+.f64 kx kx))) 1/2)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (cbrt.f64 (exp.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 ky) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2) (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (*.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 ky)) (/.f64 1 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) 1) (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)) (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1))))))

simplify94.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
739×fma-def_binary64
638×associate-*r*_binary64
616×associate-*l*_binary64
393×distribute-lft-in_binary64
393×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01812489
15072477
215582150
377592150
Stop Event
1×node limit
Counts
178 → 165
Calls
Call 1
Inputs
(sin.f64 ky)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))) (sin.f64 ky))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 kx 4)) (sin.f64 ky))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))) (sin.f64 ky)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 kx 4)) (sin.f64 ky))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 6)) (sin.f64 ky))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))) (sin.f64 ky))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx))))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx))))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx))))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx))))))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (pow.f64 ky 2))) (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (pow.f64 ky 2))) (+.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))) (*.f64 -1/2 (*.f64 (*.f64 (+.f64 1/3 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))))) 2)) (pow.f64 ky 4)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))))))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (pow.f64 ky 2))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))))) 2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))))) (pow.f64 ky 6)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))))) (+.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))) (*.f64 -1/2 (*.f64 (*.f64 (+.f64 1/3 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))))) 2)) (pow.f64 ky 4)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))))))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))
(pow.f64 kx 2)
(+.f64 (pow.f64 kx 2) (*.f64 -1/3 (pow.f64 kx 4)))
(+.f64 (pow.f64 kx 2) (+.f64 (*.f64 -1/3 (pow.f64 kx 4)) (*.f64 2/45 (pow.f64 kx 6))))
(+.f64 (pow.f64 kx 2) (+.f64 (*.f64 -1/3 (pow.f64 kx 4)) (+.f64 (*.f64 2/45 (pow.f64 kx 6)) (*.f64 -1/315 (pow.f64 kx 8)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx)))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky)
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (*.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 3)))) (*.f64 -1/6 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))))) (pow.f64 ky 3)))
(+.f64 (*.f64 (+.f64 (*.f64 1/120 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 2))) (/.f64 1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 3))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 3)))) 2)) (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))))) (*.f64 1/12 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 3)))))) (pow.f64 ky 5)) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (*.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 3)))) (*.f64 -1/6 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))))) (pow.f64 ky 3))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 2))) (/.f64 1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 3))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 3)))) 2)) (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))))) (+.f64 (*.f64 -1/5040 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))))) (+.f64 (*.f64 -1/240 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 3)))) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 2))) (/.f64 1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 3))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 3)))) 2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 3))) (+.f64 (/.f64 1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 4)) (*.f64 2/45 (/.f64 1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 2)))))) (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))))))) (pow.f64 ky 7)) (+.f64 (*.f64 (+.f64 (*.f64 1/120 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 2))) (/.f64 1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 3))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 3)))) 2)) (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))))) (*.f64 1/12 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 3)))))) (pow.f64 ky 5)) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (*.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 3)))) (*.f64 -1/6 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))))) (pow.f64 ky 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 ky))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 ky))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 ky))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 ky))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 ky))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 ky))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 ky))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 ky))
1
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))) 1)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))) (+.f64 1 (*.f64 1/2 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (sin.f64 ky) 4))) (/.f64 1 (pow.f64 (sin.f64 ky) 6))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2)) (*.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 4))))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (sin.f64 ky) 4))) (/.f64 1 (pow.f64 (sin.f64 ky) 6))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2)) (*.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 4)))) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 2/45 (/.f64 1 (pow.f64 (sin.f64 ky) 4))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 (sin.f64 ky) 6))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (sin.f64 ky) 4))) (/.f64 1 (pow.f64 (sin.f64 ky) 6))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2)) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (pow.f64 (sin.f64 ky) 8))))) (*.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 6)))))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 ky))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 ky))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 ky))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx))))))))
Outputs
(sin.f64 ky)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))) (sin.f64 ky))
(fma.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (sin.f64 ky))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 kx 4)) (sin.f64 ky))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))) (sin.f64 ky)))
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (/.f64 (sin.f64 ky) (pow.f64 kx 4))) (fma.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (sin.f64 ky)))
(fma.f64 -1/2 (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (sin.f64 ky)) (pow.f64 kx 4)) (fma.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (sin.f64 ky)))
(fma.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (fma.f64 -1/2 (*.f64 (pow.f64 kx 4) (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (sin.f64 ky))) (sin.f64 ky)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 kx 4)) (sin.f64 ky))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 6)) (sin.f64 ky))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))) (sin.f64 ky))))
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (/.f64 (sin.f64 ky) (pow.f64 kx 4))) (fma.f64 1/2 (/.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2)))) (/.f64 (sin.f64 ky) (pow.f64 kx 6))) (fma.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (sin.f64 ky))))
(fma.f64 -1/2 (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (sin.f64 ky)) (pow.f64 kx 4)) (fma.f64 1/2 (/.f64 (+.f64 2/45 (/.f64 (*.f64 1/2 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2))) (/.f64 (sin.f64 ky) (pow.f64 kx 6))) (fma.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (sin.f64 ky))))
(fma.f64 1/2 (fma.f64 (/.f64 (-.f64 2/45 (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) -1/6) (pow.f64 (sin.f64 ky) 2))) (sin.f64 ky)) (pow.f64 kx 6) (/.f64 (*.f64 kx kx) (sin.f64 ky))) (fma.f64 -1/2 (*.f64 (pow.f64 kx 4) (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (sin.f64 ky))) (sin.f64 ky)))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 1/2 (cos.f64 (*.f64 kx -2))))))
(sqrt.f64 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2)))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 1/2 (cos.f64 (*.f64 kx -2))))))
(sqrt.f64 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2)))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 1/2 (cos.f64 (*.f64 kx -2))))))
(sqrt.f64 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2)))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 1/2 (cos.f64 (*.f64 kx -2))))))
(sqrt.f64 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2)))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx))))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 1/2 (cos.f64 (*.f64 kx -2))))))
(sqrt.f64 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2)))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx))))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 1/2 (cos.f64 (*.f64 kx -2))))))
(sqrt.f64 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2)))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx))))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 1/2 (cos.f64 (*.f64 kx -2))))))
(sqrt.f64 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2)))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx))))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 1/2 (cos.f64 (*.f64 kx -2))))))
(sqrt.f64 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2)))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))))
(sqrt.f64 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (pow.f64 ky 2))) (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))))) (*.f64 ky ky)) (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2))) (*.f64 ky ky)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (pow.f64 ky 2))) (+.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))) (*.f64 -1/2 (*.f64 (*.f64 (+.f64 1/3 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))))) 2)) (pow.f64 ky 4)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))))))))
(+.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))))) (*.f64 ky ky)) (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))))) (*.f64 (+.f64 1/3 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))) 2)) (pow.f64 ky 4)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))))) (*.f64 ky ky)) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))))) (*.f64 (+.f64 1/3 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))) 2)) (pow.f64 ky 4))) (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))))))
(+.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2)) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2))) (+.f64 (*.f64 (pow.f64 ky 4) (+.f64 -1/6 (*.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2)) -1/8))) (*.f64 1/2 (*.f64 ky ky)))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (pow.f64 ky 2))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))))) 2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))))) (pow.f64 ky 6)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))))) (+.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))) (*.f64 -1/2 (*.f64 (*.f64 (+.f64 1/3 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))))) 2)) (pow.f64 ky 4)) (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))))) (*.f64 ky ky)) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))))) (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))) 2)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))) (pow.f64 ky 6))) (+.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))))) (*.f64 (+.f64 1/3 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))) 2)) (pow.f64 ky 4)))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))))) (*.f64 ky ky)) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))))) (*.f64 (-.f64 2/45 (/.f64 (+.f64 -1/6 (*.f64 -1/2 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))) 2))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))))) (pow.f64 ky 6))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))))) (*.f64 (+.f64 1/3 (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))) 2)) (pow.f64 ky 4))) (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2))) (+.f64 (*.f64 ky ky) (*.f64 (fma.f64 1/2 (/.f64 (fma.f64 1/4 (/.f64 1 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2)) 1/3) (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2)) 2/45) (pow.f64 ky 6)))) (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2))) (*.f64 (pow.f64 ky 4) (+.f64 -1/6 (*.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2)) -1/8))) (sqrt.f64 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 1/2 (cos.f64 (*.f64 kx -2))))))
(sqrt.f64 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2)))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 1/2 (cos.f64 (*.f64 kx -2))))))
(sqrt.f64 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2)))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 1/2 (cos.f64 (*.f64 kx -2))))))
(sqrt.f64 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2)))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))
(sqrt.f64 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 1/2 (cos.f64 (*.f64 kx -2))))))
(sqrt.f64 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))
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(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))) 3)) (/.f64 1/3 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))) 2))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))) 3)))) 2))) -1/12 (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))))) -1/5040 (fma.f64 -1/2 (*.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))) (fma.f64 -1/2 (/.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))) 3)) (/.f64 1/3 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))) 2))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))) 3)))) 2)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))) (+.f64 (/.f64 2/3 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))) 4)) (/.f64 2/45 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))) 2)))))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))) 3))) -1/240)))) (pow.f64 ky 7) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))))) 1/120 (fma.f64 1/2 (*.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))) 3)) (/.f64 1/3 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))) 2))) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))) 3)))) 2))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))) 3))) 1/12))) (pow.f64 ky 5) (fma.f64 ky (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))))) (*.f64 (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))) 3))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx -2)))))) -1/6)) (pow.f64 ky 3)))))
(fma.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2))) -1/5040 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2) 3))) -1/240)) (*.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2)) (+.f64 (fma.f64 -1/2 (+.f64 (/.f64 2/3 (pow.f64 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2) 3)) (+.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2) 4)) (/.f64 2/45 (pow.f64 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2) 2)))) (*.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2) 3)) (+.f64 (/.f64 1/3 (pow.f64 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2) 2)) (*.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2) 3)) -1/4))) (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2)) 1/4)) (*.f64 (+.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2) 3)) (+.f64 (/.f64 1/3 (pow.f64 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2) 2)) (*.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2) 3)) -1/4))) -1/12)))) (pow.f64 ky 7) (fma.f64 (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2) 3))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2))) -1/6)) (pow.f64 ky 3) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2) 3))) 1/12 (fma.f64 (+.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2) 3)) (+.f64 (/.f64 1/3 (pow.f64 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2) 2)) (*.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2) 3)) -1/4))) (*.f64 1/2 (sqrt.f64 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2))) 1/120))) (pow.f64 ky 5) (*.f64 ky (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2)))))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 1/2 (cos.f64 (*.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) (+.f64 1/2 (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (-.f64 (pow.f64 (sin.f64 ky) 2) (fma.f64 1/2 (cos.f64 (*.f64 kx -2)) -1/2)))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 1/2 (cos.f64 (*.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) (+.f64 1/2 (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (-.f64 (pow.f64 (sin.f64 ky) 2) (fma.f64 1/2 (cos.f64 (*.f64 kx -2)) -1/2)))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 1/2 (cos.f64 (*.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) (+.f64 1/2 (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (-.f64 (pow.f64 (sin.f64 ky) 2) (fma.f64 1/2 (cos.f64 (*.f64 kx -2)) -1/2)))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 1/2 (cos.f64 (*.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) (+.f64 1/2 (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (-.f64 (pow.f64 (sin.f64 ky) 2) (fma.f64 1/2 (cos.f64 (*.f64 kx -2)) -1/2)))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 1/2 (cos.f64 (*.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) (+.f64 1/2 (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (-.f64 (pow.f64 (sin.f64 ky) 2) (fma.f64 1/2 (cos.f64 (*.f64 kx -2)) -1/2)))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 1/2 (cos.f64 (*.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) (+.f64 1/2 (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (-.f64 (pow.f64 (sin.f64 ky) 2) (fma.f64 1/2 (cos.f64 (*.f64 kx -2)) -1/2)))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 1/2 (cos.f64 (*.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) (+.f64 1/2 (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (-.f64 (pow.f64 (sin.f64 ky) 2) (fma.f64 1/2 (cos.f64 (*.f64 kx -2)) -1/2)))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 1/2 (cos.f64 (*.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) (+.f64 1/2 (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (-.f64 (pow.f64 (sin.f64 ky) 2) (fma.f64 1/2 (cos.f64 (*.f64 kx -2)) -1/2)))))
1
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))) 1)
(fma.f64 -1/2 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)) 1)
(fma.f64 -1/2 (/.f64 kx (/.f64 (pow.f64 (sin.f64 ky) 2) kx)) 1)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))) (+.f64 1 (*.f64 1/2 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (sin.f64 ky) 4))) (/.f64 1 (pow.f64 (sin.f64 ky) 6))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2)) (*.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 4))))))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)) 1) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1/3 (pow.f64 (sin.f64 ky) 4)) (-.f64 (/.f64 1 (pow.f64 (sin.f64 ky) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2))) (*.f64 (pow.f64 kx 4) (pow.f64 (sin.f64 ky) 2)))))
(fma.f64 -1/2 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)) (fma.f64 1/2 (*.f64 (+.f64 (/.f64 1 (pow.f64 (sin.f64 ky) 6)) (-.f64 (/.f64 1/3 (pow.f64 (sin.f64 ky) 4)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2))) (*.f64 (pow.f64 kx 4) (pow.f64 (sin.f64 ky) 2))) 1))
(fma.f64 (+.f64 (/.f64 1/3 (pow.f64 (sin.f64 ky) 4)) (-.f64 (/.f64 1 (pow.f64 (sin.f64 ky) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2))) (*.f64 1/2 (*.f64 (pow.f64 kx 4) (pow.f64 (sin.f64 ky) 2))) (fma.f64 -1/2 (/.f64 kx (/.f64 (pow.f64 (sin.f64 ky) 2) kx)) 1))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (sin.f64 ky) 4))) (/.f64 1 (pow.f64 (sin.f64 ky) 6))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2)) (*.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 4)))) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 2/45 (/.f64 1 (pow.f64 (sin.f64 ky) 4))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 (sin.f64 ky) 6))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (sin.f64 ky) 4))) (/.f64 1 (pow.f64 (sin.f64 ky) 6))) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2)) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (pow.f64 (sin.f64 ky) 8))))) (*.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 6)))))))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)) 1) (fma.f64 1/2 (*.f64 (+.f64 (/.f64 1/3 (pow.f64 (sin.f64 ky) 4)) (-.f64 (/.f64 1 (pow.f64 (sin.f64 ky) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2))) (*.f64 (pow.f64 kx 4) (pow.f64 (sin.f64 ky) 2))) (*.f64 -1/2 (*.f64 (+.f64 (/.f64 2/45 (pow.f64 (sin.f64 ky) 4)) (+.f64 (/.f64 2/3 (pow.f64 (sin.f64 ky) 6)) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (sin.f64 ky) 4)) (-.f64 (/.f64 1 (pow.f64 (sin.f64 ky) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2))) (pow.f64 (sin.f64 ky) 2)) (/.f64 1 (pow.f64 (sin.f64 ky) 8))))) (*.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 6))))))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)) 1) (fma.f64 -1/2 (*.f64 (+.f64 (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 (sin.f64 ky) 6)) (-.f64 (/.f64 1/3 (pow.f64 (sin.f64 ky) 4)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2))) (pow.f64 (sin.f64 ky) 2)) (/.f64 1 (pow.f64 (sin.f64 ky) 8))) (+.f64 (/.f64 2/45 (pow.f64 (sin.f64 ky) 4)) (/.f64 2/3 (pow.f64 (sin.f64 ky) 6)))) (*.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 6))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (pow.f64 (sin.f64 ky) 6)) (-.f64 (/.f64 1/3 (pow.f64 (sin.f64 ky) 4)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2))) (*.f64 (pow.f64 kx 4) (pow.f64 (sin.f64 ky) 2))))))
(+.f64 (fma.f64 -1/2 (/.f64 kx (/.f64 (pow.f64 (sin.f64 ky) 2) kx)) 1) (*.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 kx 4) (+.f64 (/.f64 1/3 (pow.f64 (sin.f64 ky) 4)) (-.f64 (/.f64 1 (pow.f64 (sin.f64 ky) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2))))) (*.f64 (pow.f64 kx 6) (fma.f64 -1/2 (+.f64 (/.f64 1 (pow.f64 (sin.f64 ky) 8)) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (sin.f64 ky) 4)) (-.f64 (/.f64 1 (pow.f64 (sin.f64 ky) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2))) (pow.f64 (sin.f64 ky) 2)) (/.f64 2/3 (pow.f64 (sin.f64 ky) 6)))) (/.f64 -1/45 (pow.f64 (sin.f64 ky) 4)))))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 1/2 (cos.f64 (*.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) (+.f64 1/2 (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (-.f64 (pow.f64 (sin.f64 ky) 2) (fma.f64 1/2 (cos.f64 (*.f64 kx -2)) -1/2)))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 1/2 (cos.f64 (*.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) (+.f64 1/2 (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (-.f64 (pow.f64 (sin.f64 ky) 2) (fma.f64 1/2 (cos.f64 (*.f64 kx -2)) -1/2)))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 1/2 (cos.f64 (*.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) (+.f64 1/2 (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (-.f64 (pow.f64 (sin.f64 ky) 2) (fma.f64 1/2 (cos.f64 (*.f64 kx -2)) -1/2)))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 1/2 (cos.f64 (*.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) (+.f64 1/2 (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (-.f64 (pow.f64 (sin.f64 ky) 2) (fma.f64 1/2 (cos.f64 (*.f64 kx -2)) -1/2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 1/2 (cos.f64 (*.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) (+.f64 1/2 (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (-.f64 (pow.f64 (sin.f64 ky) 2) (fma.f64 1/2 (cos.f64 (*.f64 kx -2)) -1/2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 1/2 (cos.f64 (*.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) (+.f64 1/2 (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (-.f64 (pow.f64 (sin.f64 ky) 2) (fma.f64 1/2 (cos.f64 (*.f64 kx -2)) -1/2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 1/2 (cos.f64 (*.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) (+.f64 1/2 (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (-.f64 (pow.f64 (sin.f64 ky) 2) (fma.f64 1/2 (cos.f64 (*.f64 kx -2)) -1/2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 (sin.f64 ky) 2)) (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 1/2 (cos.f64 (*.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (+.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 -1/2 (cos.f64 (*.f64 kx -2))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) (+.f64 1/2 (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (-.f64 (pow.f64 (sin.f64 ky) 2) (fma.f64 1/2 (cos.f64 (*.f64 kx -2)) -1/2)))))

eval462.0ms (1%)

Compiler

Compiled 16647 to 7959 computations (52.2% saved)

prune158.0ms (0.3%)

Pruning

38 alts after pruning (34 fresh and 4 done)

PrunedKeptTotal
New65129680
Fresh13518
Picked101
Done145
Total66638704
Error
0b
Counts
704 → 38
Alt Table
Click to see full alt table
StatusErrorProgram
49.6b
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
52.1b
(-.f64 (+.f64 1 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))) 1)
25.6b
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))) 2)
47.1b
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th))
46.2b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
2.8b
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3))
35.1b
(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
▶29.3b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
48.0b
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
55.4b
th
▶2.1b
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
✓0.2b
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
48.0b
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
43.9b
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 th))
57.8b
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (/.f64 (sin.f64 th) ky)))
46.9b
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
0.3b
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
57.4b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
29.3b
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
13.6b
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
34.4b
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
▶0.3b
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
✓0.3b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
13.3b
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
48.6b
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
52.3b
(*.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))
55.6b
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
✓49.6b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
47.5b
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
✓49.6b
(sin.f64 th)
0.4b
(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
▶49.6b
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
47.5b
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
1.3b
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))) 3)
▶56.1b
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
33.8b
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
2.0b
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
46.2b
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
Compiler

Compiled 978 to 686 computations (29.9% saved)

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 kx)
0.0b
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓0.2b
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
✓0.3b
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
Compiler

Compiled 36 to 9 computations (75% saved)

series11.0ms (0%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
ky
@0
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
1.0ms
th
@0
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
1.0ms
kx
@0
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
1.0ms
ky
@0
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
1.0ms
kx
@inf
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))

rewrite74.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
570×log-prod_binary64
452×exp-prod_binary64
289×pow-prod-down_binary64
287×pow2_binary64
201×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
120931
2283531
Stop Event
1×node limit
Counts
2 → 104
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))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule 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expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) 1) 1))))))

simplify74.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
929×fma-def_binary64
674×associate-*l*_binary64
552×times-frac_binary64
529×associate-/l*_binary64
375×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01893066
16042668
222122485
Stop Event
1×node limit
Counts
176 → 153
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5)) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5)) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 (sin.f64 kx) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 2))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)) (pow.f64 (sin.f64 kx) 3)))))) (pow.f64 ky 7)) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(sin.f64 th)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (+.f64 (sin.f64 th) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 (sin.f64 ky) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2))))) (pow.f64 (sin.f64 ky) 2))) (*.f64 1/4 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 4))))) (pow.f64 kx 6))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))
(+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))))
(+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (+.f64 (*.f64 -1/5040 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 7)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (sin.f64 th))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) (*.f64 (sin.f64 kx) (sin.f64 th)))) (/.f64 (sin.f64 kx) (sin.f64 th)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) (*.f64 (sin.f64 kx) (sin.f64 th)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 ky 4)) (*.f64 (sin.f64 kx) (sin.f64 th)))) (/.f64 (sin.f64 kx) (sin.f64 th))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) (*.f64 (sin.f64 kx) (sin.f64 th)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (pow.f64 ky 6)) (*.f64 (sin.f64 kx) (sin.f64 th)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 ky 4)) (*.f64 (sin.f64 kx) (sin.f64 th)))) (/.f64 (sin.f64 kx) (sin.f64 th)))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 th)))
(/.f64 (sin.f64 ky) (sin.f64 th))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 th) (sin.f64 ky)))) (/.f64 (sin.f64 ky) (sin.f64 th)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 kx 4)) (*.f64 (sin.f64 th) (sin.f64 ky)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 th) (sin.f64 ky)))) (/.f64 (sin.f64 ky) (sin.f64 th))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 6)) (*.f64 (sin.f64 th) (sin.f64 ky)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 kx 4)) (*.f64 (sin.f64 th) (sin.f64 ky)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 th) (sin.f64 ky)))) (/.f64 (sin.f64 ky) (sin.f64 th)))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th))
(+.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th)) (*.f64 1/6 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) th)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 1/120 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 th 3))) (+.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th)) (*.f64 1/6 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) th))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 1/120 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 th 3))) (+.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/5040 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (+.f64 (*.f64 1/6 (+.f64 (*.f64 -1/36 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 1/120 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))) (*.f64 1/720 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))) (pow.f64 th 5))) (*.f64 1/6 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) th)))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 th)))
Outputs
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))
(+.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))
(fma.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) -1/2)) (pow.f64 ky 3) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)))
(fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky (*.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 ky 3)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5)) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3))))
(fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1/120) (fma.f64 1/2 (/.f64 (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2)) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5) (+.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3))))
(fma.f64 (-.f64 (/.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 th))) (fma.f64 1/2 (/.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) -1/2)) (pow.f64 (sin.f64 kx) 2)) (*.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))) (pow.f64 ky 5) (fma.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) -1/2)) (pow.f64 ky 3) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
(fma.f64 (-.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1/120 (*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 (sin.f64 kx) 2)) -1/2)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6))) (pow.f64 ky 5) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky (*.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 ky 3))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5)) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 (sin.f64 kx) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 2))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)) (pow.f64 (sin.f64 kx) 3)))))) (pow.f64 ky 7)) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))))
(fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1/120) (fma.f64 1/2 (/.f64 (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2)) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5) (+.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) -1/5040) (fma.f64 1/2 (/.f64 (-.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1/120) (fma.f64 1/2 (/.f64 (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2)) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 (sin.f64 kx) 2)) (fma.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (/.f64 (pow.f64 (sin.f64 kx) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (*.f64 1/2 (/.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (pow.f64 (sin.f64 kx) 3) (sin.f64 th))))))) (pow.f64 ky 7) (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))))
(+.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) -1/5040) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 th))) (fma.f64 1/2 (/.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) -1/2)) (pow.f64 (sin.f64 kx) 2)) (*.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))) (pow.f64 (sin.f64 kx) 2)) (fma.f64 1/2 (*.f64 (/.f64 (-.f64 2/45 (/.f64 -1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))))) (pow.f64 (sin.f64 kx) 3)) (sin.f64 th)) (*.f64 -1/2 (/.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) -1/2)) (/.f64 (pow.f64 (sin.f64 kx) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))))) (pow.f64 ky 7) (*.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) -1/2)) (pow.f64 ky 3))) (fma.f64 (-.f64 (/.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 th))) (fma.f64 1/2 (/.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) -1/2)) (pow.f64 (sin.f64 kx) 2)) (*.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))) (pow.f64 ky 5) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
(fma.f64 (-.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1/120 (*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 (sin.f64 kx) 2)) -1/2)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6))) (pow.f64 ky 5) (fma.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 ky 3) (fma.f64 (-.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) -1/5040 (/.f64 -1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) (-.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1/120 (*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 (sin.f64 kx) 2)) -1/2)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6)))))) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (-.f64 2/45 (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 (sin.f64 kx) 2)) (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6)))) (pow.f64 ky 7) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(sin.f64 th)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th))
(fma.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th))
(fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 kx kx))) (sin.f64 th))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th)) (sin.f64 th))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th)))
(fma.f64 -1 (*.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4)) (fma.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th)))
(fma.f64 (neg.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))))) (pow.f64 kx 4) (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 kx kx))) (sin.f64 th)))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th)) (sin.f64 th)) (*.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (fma.f64 -1/2 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)) -1/6))) (pow.f64 kx 4)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (+.f64 (sin.f64 th) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 (sin.f64 ky) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2))))) (pow.f64 (sin.f64 ky) 2))) (*.f64 1/4 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 4))))) (pow.f64 kx 6))))))
(fma.f64 -1 (*.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4)) (+.f64 (fma.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th)) (neg.f64 (*.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 (sin.f64 ky) 2)) (fma.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2))))) (pow.f64 (sin.f64 ky) 2)) (*.f64 1/4 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))))))) (pow.f64 kx 6)))))
(-.f64 (-.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 kx kx))) (sin.f64 th)) (*.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)))) (pow.f64 (sin.f64 ky) 2)) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 2/45 (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2))))) (*.f64 1/4 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))))) (pow.f64 kx 6))) (*.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)))) (pow.f64 kx 4)))
(-.f64 (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th)) (sin.f64 th)) (*.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (fma.f64 -1/2 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)) -1/6))) (pow.f64 kx 4))) (*.f64 (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (-.f64 2/45 (/.f64 (fma.f64 -1/2 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)) -1/6) (pow.f64 (sin.f64 ky) 2)))) (fma.f64 1/4 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (+.f64 1/3 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)))) (*.f64 -1/2 (/.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (fma.f64 -1/2 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)) -1/6))) (pow.f64 (sin.f64 ky) 2))))) (pow.f64 kx 6)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 th (sin.f64 ky)))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))) (*.f64 th (sin.f64 ky)))
(+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))
(fma.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 th (sin.f64 ky))))
(fma.f64 -1/6 (*.f64 (sin.f64 ky) (*.f64 (pow.f64 th 3) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) (*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))))
(*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))) (+.f64 th (*.f64 (pow.f64 th 3) -1/6)))
(+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))))
(fma.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5))) (fma.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 th (sin.f64 ky)))))
(fma.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5))) (fma.f64 -1/6 (*.f64 (sin.f64 ky) (*.f64 (pow.f64 th 3) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) (*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))))
(fma.f64 -1/6 (*.f64 (sin.f64 ky) (*.f64 (pow.f64 th 3) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2)))))) (*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))) (+.f64 th (*.f64 (pow.f64 th 5) 1/120))))
(+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (+.f64 (*.f64 -1/5040 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 7)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))))
(fma.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5))) (fma.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3))) (fma.f64 -1/5040 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 7))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 th (sin.f64 ky))))))
(fma.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5))) (fma.f64 -1/6 (*.f64 (sin.f64 ky) (*.f64 (pow.f64 th 3) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 th (sin.f64 ky)) (*.f64 -1/5040 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 7)))))))
(+.f64 (*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))) (+.f64 th (*.f64 (pow.f64 th 7) -1/5040))) (*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))) (+.f64 (*.f64 (pow.f64 th 3) -1/6) (*.f64 (pow.f64 th 5) 1/120))))
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(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 th))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)
(+.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th)) (*.f64 1/6 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) th)))
(fma.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 th) (*.f64 1/6 (*.f64 th (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(fma.f64 1/6 (*.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
(*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 1/120 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 th 3))) (+.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th)) (*.f64 1/6 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) th))))
(fma.f64 -1 (*.f64 (pow.f64 th 3) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) -7/360)) (fma.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 th) (*.f64 1/6 (*.f64 th (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))))
(-.f64 (fma.f64 1/6 (*.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 -7/360 (pow.f64 th 3))))
(fma.f64 (pow.f64 th 3) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 7/360) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 1/120 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 th 3))) (+.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/5040 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (+.f64 (*.f64 1/6 (+.f64 (*.f64 -1/36 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 1/120 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))) (*.f64 1/720 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))) (pow.f64 th 5))) (*.f64 1/6 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) th)))))
(fma.f64 -1 (*.f64 (pow.f64 th 3) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) -7/360)) (fma.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 th) (fma.f64 -1 (*.f64 (pow.f64 th 5) (fma.f64 -1/5040 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (fma.f64 1/6 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) -7/360) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) 1/720)))) (*.f64 1/6 (*.f64 th (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))))
(+.f64 (-.f64 (fma.f64 1/6 (*.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 -7/360 (pow.f64 th 3)))) (*.f64 (fma.f64 -1/5040 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (fma.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 1/720 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) -7/2160))) (neg.f64 (pow.f64 th 5))))
(-.f64 (fma.f64 (pow.f64 th 3) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 7/360) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (+.f64 (/.f64 1 th) (*.f64 1/6 th)))) (*.f64 (pow.f64 th 5) (fma.f64 -1/5040 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) -1/540))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (sin.f64 th)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
✓0.1b
(*.f64 -1/6 (pow.f64 th 3))
Compiler

Compiled 21 to 16 computations (23.8% saved)

series3.0ms (0%)

Counts
2 → 3
Calls

6 calls:

TimeVariablePointExpression
1.0ms
th
@0
(*.f64 -1/6 (pow.f64 th 3))
1.0ms
th
@inf
(*.f64 -1/6 (pow.f64 th 3))
1.0ms
th
@inf
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
1.0ms
th
@-inf
(*.f64 -1/6 (pow.f64 th 3))
0.0ms
th
@-inf
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)

rewrite56.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
744×pow1_binary64
702×add-log-exp_binary64
702×log1p-expm1-u_binary64
702×expm1-log1p-u_binary64
688×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
115915
2191315
Stop Event
1×node limit
Counts
2 → 46
Calls
Call 1
Inputs
(*.f64 -1/6 (pow.f64 th 3))
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 th 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (pow.f64 th 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 th 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 th 3) 3) -1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 th 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 th 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 th 3) 3) -1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 th 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 th 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 th 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 th 3) th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 th 6) 1/36) (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th)) (/.f64 (*.f64 th th) (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/6 (pow.f64 th 3) th) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/6 (pow.f64 th 3) th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 th 3) th)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 th 3) th)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 th 3) th)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 th 3) th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 th 3) th)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 th 3) th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 th 3) (*.f64 (pow.f64 (pow.f64 th 3) 3) -1/216)) (/.f64 1 (+.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th (-.f64 th (*.f64 -1/6 (pow.f64 th 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th th)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th (-.f64 th (*.f64 -1/6 (pow.f64 th 3))))) (+.f64 (pow.f64 th 3) (*.f64 (pow.f64 (pow.f64 th 3) 3) -1/216))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th) (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 th 3) (*.f64 (pow.f64 (pow.f64 th 3) 3) -1/216)) (+.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th (-.f64 th (*.f64 -1/6 (pow.f64 th 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 th 3) (*.f64 (pow.f64 (pow.f64 th 3) 3) -1/216)) (+.f64 (*.f64 th th) (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 -1/6 (*.f64 (pow.f64 th 3) th)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th th)) (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 th 3) (*.f64 (pow.f64 (pow.f64 th 3) 3) -1/216))) (neg.f64 (+.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th (-.f64 th (*.f64 -1/6 (pow.f64 th 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th th))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 th th) (*.f64 (pow.f64 th 6) 1/36)) (-.f64 th (*.f64 -1/6 (pow.f64 th 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/6 (pow.f64 th 3) th) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 th 3) th) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 th 3) th)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 th 3) th)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 th 3) th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 th 3) th)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 th 3) th) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 th 3) th)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 th 3) th)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 th 3) th)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/6 (pow.f64 th 3) th)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 th 3) -1/6 th)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 th (*.f64 -1/6 (pow.f64 th 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/6 (pow.f64 th 3)) th)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 th (cbrt.f64 -1/6)) 2) (*.f64 th (cbrt.f64 -1/6)) th)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 th) 2) (cbrt.f64 th) (*.f64 -1/6 (pow.f64 th 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 th 3/2)) (*.f64 (sqrt.f64 -1/6) (pow.f64 th 3/2)) th)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 th) (sqrt.f64 th) (*.f64 -1/6 (pow.f64 th 3)))))))

simplify153.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1274×sqr-pow_binary64
666×pow-sqr_binary64
529×cube-prod_binary64
471×fabs-mul_binary64
438×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
11515
23215
35615
411415
532615
6118015
7186915
8195615
9208915
10224715
11248615
12280815
13323115
14373315
15433515
16505715
17537815
18566415
19588615
20606415
21614415
22708415
Stop Event
1×node limit
Counts
49 → 48
Calls
Call 1
Inputs
th
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 -1/6 (pow.f64 th 3))
Outputs
th
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 -1/6 (pow.f64 th 3))

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (sin.f64 ky) (sin.f64 th))
✓0.2b
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
Compiler

Compiled 22 to 7 computations (68.2% saved)

series5.0ms (0%)

Counts
2 → 32
Calls

12 calls:

TimeVariablePointExpression
1.0ms
th
@0
(/.f64 (sin.f64 ky) (sin.f64 th))
1.0ms
ky
@0
(/.f64 (sin.f64 ky) (sin.f64 th))
1.0ms
th
@-inf
(/.f64 (sin.f64 ky) (sin.f64 th))
1.0ms
th
@inf
(/.f64 (sin.f64 ky) (sin.f64 th))
1.0ms
ky
@-inf
(/.f64 (sin.f64 ky) (sin.f64 th))

rewrite55.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
750×pow1_binary64
696×add-log-exp_binary64
696×log1p-expm1-u_binary64
696×expm1-log1p-u_binary64
679×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0721
114911
2215411
Stop Event
1×node limit
Counts
2 → 68
Calls
Call 1
Inputs
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 ky) (sin.f64 th))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sin.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 th) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (*.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (sin.f64 th)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (cbrt.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 th)) (sqrt.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 ky)) (/.f64 1 (/.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) 1) (/.f64 (sin.f64 th) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) 1) (/.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (sin.f64 ky)) (/.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 1 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 ky)) (/.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 1 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 th))) 2)) (/.f64 (sin.f64 ky) (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 th))) 2)) (cbrt.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 th))) 2)) (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 (sin.f64 ky) (sin.f64 th)))) (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (sin.f64 ky) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (sqrt.f64 (/.f64 (sin.f64 ky) (sin.f64 th)))) (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (sin.f64 ky) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) (neg.f64 (sin.f64 ky))) (neg.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 th) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 th) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 th)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 th)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sin.f64 th)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 ky) (/.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 th) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 th)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 th)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 ky) (sin.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 ky) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 th))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 th))) 2) (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (*.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 1 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (/.f64 (sin.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 1 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 ky)) (/.f64 1 (neg.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 th)) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 ky)) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) 1) (/.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 th)) 2)) (/.f64 (sin.f64 ky) (cbrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (pow.f64 (cbrt.f64 (sin.f64 th)) 2)) (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (cbrt.f64 (sin.f64 th)) 2)) (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 th))) (/.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (sqrt.f64 (sin.f64 th))) (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (sin.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (sin.f64 th) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 ky) (sin.f64 th))))))))

simplify52.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
407×distribute-neg-in_binary64
376×cancel-sign-sub-inv_binary64
336×distribute-rgt-neg-in_binary64
335×sub-neg_binary64
334×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
059319
1172303
2523291
31977287
46175287
Stop Event
1×node limit
Counts
100 → 89
Calls
Call 1
Inputs
(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 (*.f64 -1/6 (pow.f64 th 3)) th)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) (+.f64 (*.f64 1/120 (pow.f64 th 5)) th))
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) (+.f64 (*.f64 -1/5040 (pow.f64 th 7)) (+.f64 (*.f64 1/120 (pow.f64 th 5)) 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)
(/.f64 ky (sin.f64 th))
(+.f64 (/.f64 ky (sin.f64 th)) (*.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 th))))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 ky 5) (sin.f64 th))) (+.f64 (/.f64 ky (sin.f64 th)) (*.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 th)))))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 ky 5) (sin.f64 th))) (+.f64 (/.f64 ky (sin.f64 th)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 th))) (*.f64 -1/5040 (/.f64 (pow.f64 ky 7) (sin.f64 th))))))
(/.f64 (sin.f64 ky) th)
(+.f64 (/.f64 (sin.f64 ky) th) (*.f64 1/6 (*.f64 (sin.f64 ky) th)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (sin.f64 ky)) (*.f64 1/120 (sin.f64 ky))) (pow.f64 th 3))) (+.f64 (/.f64 (sin.f64 ky) th) (*.f64 1/6 (*.f64 (sin.f64 ky) th))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 -1/36 (sin.f64 ky)) (*.f64 1/120 (sin.f64 ky)))) (+.f64 (*.f64 1/720 (sin.f64 ky)) (*.f64 -1/5040 (sin.f64 ky)))) (pow.f64 th 5))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (sin.f64 ky)) (*.f64 1/120 (sin.f64 ky))) (pow.f64 th 3))) (+.f64 (/.f64 (sin.f64 ky) th) (*.f64 1/6 (*.f64 (sin.f64 ky) th)))))
Outputs
(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 (*.f64 -1/6 (pow.f64 th 3)) th)
(fma.f64 -1/6 (pow.f64 th 3) th)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) (+.f64 (*.f64 1/120 (pow.f64 th 5)) th))
(fma.f64 -1/6 (pow.f64 th 3) (fma.f64 1/120 (pow.f64 th 5) th))
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) (+.f64 (*.f64 -1/5040 (pow.f64 th 7)) (+.f64 (*.f64 1/120 (pow.f64 th 5)) th)))
(fma.f64 -1/6 (pow.f64 th 3) (fma.f64 -1/5040 (pow.f64 th 7) (fma.f64 1/120 (pow.f64 th 5) th)))
(fma.f64 -1/6 (pow.f64 th 3) (fma.f64 1/120 (pow.f64 th 5) (fma.f64 -1/5040 (pow.f64 th 7) 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)
(/.f64 ky (sin.f64 th))
(+.f64 (/.f64 ky (sin.f64 th)) (*.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 th))))
(fma.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 th)) (/.f64 ky (sin.f64 th)))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 ky 5) (sin.f64 th))) (+.f64 (/.f64 ky (sin.f64 th)) (*.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 th)))))
(fma.f64 1/120 (/.f64 (pow.f64 ky 5) (sin.f64 th)) (+.f64 (/.f64 ky (sin.f64 th)) (*.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 th)))))
(fma.f64 1/120 (/.f64 (pow.f64 ky 5) (sin.f64 th)) (fma.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 th)) (/.f64 ky (sin.f64 th))))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 ky 5) (sin.f64 th))) (+.f64 (/.f64 ky (sin.f64 th)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 th))) (*.f64 -1/5040 (/.f64 (pow.f64 ky 7) (sin.f64 th))))))
(fma.f64 1/120 (/.f64 (pow.f64 ky 5) (sin.f64 th)) (+.f64 (/.f64 ky (sin.f64 th)) (fma.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 th)) (*.f64 -1/5040 (/.f64 (pow.f64 ky 7) (sin.f64 th))))))
(+.f64 (fma.f64 1/120 (/.f64 (pow.f64 ky 5) (sin.f64 th)) (fma.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 th)) (/.f64 ky (sin.f64 th)))) (*.f64 -1/5040 (/.f64 (pow.f64 ky 7) (sin.f64 th))))
(fma.f64 1/120 (/.f64 (pow.f64 ky 5) (sin.f64 th)) (fma.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 th)) (fma.f64 -1/5040 (/.f64 (pow.f64 ky 7) (sin.f64 th)) (/.f64 ky (sin.f64 th)))))
(/.f64 (sin.f64 ky) th)
(+.f64 (/.f64 (sin.f64 ky) th) (*.f64 1/6 (*.f64 (sin.f64 ky) th)))
(+.f64 (/.f64 (sin.f64 ky) th) (*.f64 1/6 (*.f64 th (sin.f64 ky))))
(fma.f64 1/6 (*.f64 th (sin.f64 ky)) (/.f64 (sin.f64 ky) th))
(fma.f64 th (*.f64 (sin.f64 ky) 1/6) (/.f64 (sin.f64 ky) th))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (sin.f64 ky)) (*.f64 1/120 (sin.f64 ky))) (pow.f64 th 3))) (+.f64 (/.f64 (sin.f64 ky) th) (*.f64 1/6 (*.f64 (sin.f64 ky) th))))
(fma.f64 -1 (*.f64 (pow.f64 th 3) (*.f64 (sin.f64 ky) -7/360)) (+.f64 (/.f64 (sin.f64 ky) th) (*.f64 1/6 (*.f64 th (sin.f64 ky)))))
(-.f64 (fma.f64 1/6 (*.f64 th (sin.f64 ky)) (/.f64 (sin.f64 ky) th)) (*.f64 (pow.f64 th 3) (*.f64 (sin.f64 ky) -7/360)))
(fma.f64 th (*.f64 (sin.f64 ky) 1/6) (fma.f64 (pow.f64 th 3) (*.f64 (sin.f64 ky) 7/360) (/.f64 (sin.f64 ky) th)))
(+.f64 (/.f64 (sin.f64 ky) th) (*.f64 (sin.f64 ky) (+.f64 (*.f64 th 1/6) (*.f64 (pow.f64 th 3) 7/360))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 -1/36 (sin.f64 ky)) (*.f64 1/120 (sin.f64 ky)))) (+.f64 (*.f64 1/720 (sin.f64 ky)) (*.f64 -1/5040 (sin.f64 ky)))) (pow.f64 th 5))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (sin.f64 ky)) (*.f64 1/120 (sin.f64 ky))) (pow.f64 th 3))) (+.f64 (/.f64 (sin.f64 ky) th) (*.f64 1/6 (*.f64 (sin.f64 ky) th)))))
(fma.f64 -1 (*.f64 (pow.f64 th 5) (fma.f64 1/6 (*.f64 (sin.f64 ky) -7/360) (*.f64 (sin.f64 ky) 1/840))) (fma.f64 -1 (*.f64 (pow.f64 th 3) (*.f64 (sin.f64 ky) -7/360)) (+.f64 (/.f64 (sin.f64 ky) th) (*.f64 1/6 (*.f64 th (sin.f64 ky))))))
(-.f64 (-.f64 (fma.f64 1/6 (*.f64 th (sin.f64 ky)) (/.f64 (sin.f64 ky) th)) (*.f64 (pow.f64 th 3) (*.f64 (sin.f64 ky) -7/360))) (*.f64 (pow.f64 th 5) (fma.f64 (sin.f64 ky) 1/840 (*.f64 (sin.f64 ky) -7/2160))))
(-.f64 (fma.f64 th (*.f64 (sin.f64 ky) 1/6) (/.f64 (sin.f64 ky) th)) (fma.f64 (pow.f64 th 5) (*.f64 (sin.f64 ky) -31/15120) (*.f64 (pow.f64 th 3) (*.f64 (sin.f64 ky) -7/360))))
(fma.f64 (pow.f64 th 5) (*.f64 (sin.f64 ky) 31/15120) (+.f64 (/.f64 (sin.f64 ky) th) (*.f64 (sin.f64 ky) (+.f64 (*.f64 th 1/6) (*.f64 (pow.f64 th 3) 7/360)))))

localize14.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(hypot.f64 (sin.f64 ky) kx)
✓0.2b
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))
✓0.2b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
Compiler

Compiled 31 to 8 computations (74.2% saved)

series25.0ms (0.1%)

Counts
3 → 96
Calls

24 calls:

TimeVariablePointExpression
3.0ms
ky
@0
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))
3.0ms
kx
@-inf
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
2.0ms
ky
@0
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
1.0ms
kx
@inf
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
1.0ms
ky
@inf
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))

rewrite60.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
972×pow1_binary64
892×add-log-exp_binary64
892×log1p-expm1-u_binary64
892×expm1-log1p-u_binary64
95×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0933
118433
2237433
Stop Event
1×node limit
Counts
3 → 73
Calls
Call 1
Inputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))
(hypot.f64 (sin.f64 ky) kx)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) kx) (*.f64 (sin.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) kx))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (hypot.f64 (sin.f64 ky) kx)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 1) (hypot.f64 (sin.f64 ky) kx))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) 2)) (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) kx))) (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 ky) kx)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))) (neg.f64 (hypot.f64 (sin.f64 ky) kx)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)) 3) (pow.f64 (sin.f64 ky) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 th) (/.f64 1 (hypot.f64 (sin.f64 ky) kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) 2) (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (*.f64 (cbrt.f64 (sin.f64 th)) (/.f64 1 (hypot.f64 (sin.f64 ky) kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 th)) (*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 1 (hypot.f64 (sin.f64 ky) kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 th)) (/.f64 1 (neg.f64 (hypot.f64 (sin.f64 ky) kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 th)) 1) (/.f64 (sqrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 ky) kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) 2)) (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) 2)) (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 (hypot.f64 (sin.f64 ky) kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (sqrt.f64 (hypot.f64 (sin.f64 ky) kx))) (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) kx))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 th) (neg.f64 (hypot.f64 (sin.f64 ky) kx))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (hypot.f64 (sin.f64 ky) kx) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) kx))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (sin.f64 ky) kx) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 (sin.f64 ky) kx))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) 2) (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (sin.f64 ky) kx) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) kx)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) kx)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) kx)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sin.f64 ky) kx))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) kx) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) kx)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 ky) kx)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 (sin.f64 ky) kx)))))))

simplify87.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
787×associate-/r*_binary64
567×associate-*l/_binary64
336×fma-def_binary64
290×distribute-rgt-in_binary64
282×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03123697
19803465
236413293
Stop Event
1×node limit
Counts
169 → 184
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) kx)) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 kx 3)))) (pow.f64 ky 3)) (/.f64 (*.f64 (sin.f64 th) ky) kx))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) kx)) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 kx 3)))) (pow.f64 ky 3)) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) kx) (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) kx)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2)) (sin.f64 th)) (pow.f64 kx 3))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) kx)) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 kx 3)))) (pow.f64 kx 2))))) (pow.f64 ky 5))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) kx)) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 kx 3)))) (pow.f64 ky 3)) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) kx) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (sin.f64 th) kx)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) kx)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2)) (sin.f64 th)) (pow.f64 kx 3))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) kx)) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 kx 3)))) (pow.f64 kx 2))))) (pow.f64 kx 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2)) (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) kx)) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 kx 3))))) (pow.f64 kx 2))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2)) (pow.f64 kx 2)))) (sin.f64 th)) (pow.f64 kx 3)))))) (pow.f64 ky 7)) (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) kx)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2)) (sin.f64 th)) (pow.f64 kx 3))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) kx)) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 kx 3)))) (pow.f64 kx 2))))) (pow.f64 ky 5)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) (*.f64 (sin.f64 ky) th))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) (*.f64 (sin.f64 ky) th)) (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))))
(+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) (*.f64 (sin.f64 ky) th)) (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3))))))
(+.f64 (*.f64 -1/5040 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 7)))) (+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) (*.f64 (sin.f64 ky) th)) (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(sin.f64 th)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (+.f64 (sin.f64 th) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/8 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)))) (pow.f64 kx 4)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 kx 6) (+.f64 (*.f64 1/8 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 6))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/8 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)))) (pow.f64 (sin.f64 ky) 2)))))) (+.f64 (sin.f64 th) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/8 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)))) (pow.f64 kx 4))))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 3)) (pow.f64 kx 3))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5))) (*.f64 -1/8 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5)))) (pow.f64 kx 5))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 3)) (pow.f64 kx 3))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5))) (*.f64 -1/8 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5)))) (pow.f64 kx 5))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 3)) (pow.f64 kx 3))) (+.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 7))) (*.f64 -1/2 (*.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 (*.f64 -1/4 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5))) (*.f64 -1/8 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5))))))) (pow.f64 kx 7))))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 3)) (pow.f64 kx 3))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 3)) (pow.f64 kx 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5)) (pow.f64 kx 5))) (*.f64 -1/4 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5)) (pow.f64 kx 5))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 3)) (pow.f64 kx 3))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 7)) (pow.f64 kx 7))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5)) (pow.f64 kx 5))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5)) (pow.f64 kx 5))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 (*.f64 -1/4 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5))) (*.f64 -1/8 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5))))) (pow.f64 kx 7))))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) th)
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) th) (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) (pow.f64 th 3))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) th) (+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) (pow.f64 th 5))) (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) (pow.f64 th 3)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) th) (+.f64 (*.f64 -1/5040 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) (pow.f64 th 7))) (+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) (pow.f64 th 5))) (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) (pow.f64 th 3))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 2)))) (sin.f64 th))
(/.f64 (sin.f64 th) kx)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 2)) (pow.f64 kx 3))) (/.f64 (sin.f64 th) kx))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 kx 5))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2)) (sin.f64 th)) (pow.f64 kx 3)))) (pow.f64 ky 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 2)) (pow.f64 kx 3))) (/.f64 (sin.f64 th) kx)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 kx 5))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2)) (sin.f64 th)) (pow.f64 kx 3)))) (pow.f64 ky 4))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 kx 5))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2)) (sin.f64 th)) (pow.f64 kx 3)))) (pow.f64 kx 2))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2)) (sin.f64 th)) (pow.f64 kx 5))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2)) (pow.f64 kx 2)))) (sin.f64 th)) (pow.f64 kx 3))))) (pow.f64 ky 6))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 2)) (pow.f64 kx 3))) (/.f64 (sin.f64 th) kx))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(/.f64 (sin.f64 th) (sin.f64 ky))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 3))) (/.f64 (sin.f64 th) (sin.f64 ky)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 3))) (+.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5))) (*.f64 -1/8 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5)))) (pow.f64 kx 4)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 3))) (+.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5))) (*.f64 -1/8 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5)))) (pow.f64 kx 4))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 7))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5))) (*.f64 -1/8 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5)))) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 6))))))
(/.f64 (sin.f64 th) kx)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (pow.f64 kx 3))) (/.f64 (sin.f64 th) kx))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (pow.f64 kx 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/4 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)))) (pow.f64 kx 5))) (/.f64 (sin.f64 th) kx)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (pow.f64 kx 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 6))) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1/8 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/4 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)))) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 7))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/4 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)))) (pow.f64 kx 5))) (/.f64 (sin.f64 th) kx))))
(*.f64 -1 (/.f64 (sin.f64 th) kx))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 th) kx)) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (pow.f64 kx 3))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (pow.f64 kx 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (pow.f64 kx 5))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 th) kx)) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (pow.f64 kx 3))))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (pow.f64 kx 5))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/4 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)))) (pow.f64 (sin.f64 ky) 2)) (pow.f64 kx 7))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (pow.f64 kx 5))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 th) kx)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 6)) (pow.f64 kx 7))) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (pow.f64 kx 3))))))))
kx
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) kx)) kx)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) kx)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2)) (pow.f64 ky 4)) kx)) kx))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) kx)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2)) (pow.f64 kx 2)))) (pow.f64 ky 6)) kx)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2)) (pow.f64 ky 4)) kx)) kx)))
(sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))
(sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))
(sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))
(sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))
(sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))
(sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))
(sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))
(sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))
(sin.f64 ky)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))) (sin.f64 ky))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 (sin.f64 ky) 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))) (sin.f64 ky)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 (sin.f64 ky) 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 kx 6) (pow.f64 (sin.f64 ky) 5))) (sin.f64 ky))))
kx
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 ky) 2) kx)) kx)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 ky) 2) kx)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (sin.f64 ky) 4) (pow.f64 kx 3))) kx))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 ky) 2) kx)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (sin.f64 ky) 6) (pow.f64 kx 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (sin.f64 ky) 4) (pow.f64 kx 3))) kx)))
(*.f64 -1 kx)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 ky) 2) kx)) (*.f64 -1 kx))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 ky) 2) kx)) (+.f64 (*.f64 -1 kx) (*.f64 1/8 (/.f64 (pow.f64 (sin.f64 ky) 4) (pow.f64 kx 3)))))
(+.f64 (*.f64 -1/16 (/.f64 (pow.f64 (sin.f64 ky) 6) (pow.f64 kx 5))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 ky) 2) kx)) (+.f64 (*.f64 -1 kx) (*.f64 1/8 (/.f64 (pow.f64 (sin.f64 ky) 4) (pow.f64 kx 3))))))
Outputs
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) kx)) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 kx 3)))) (pow.f64 ky 3)) (/.f64 (*.f64 (sin.f64 th) ky) kx))
(fma.f64 (+.f64 (/.f64 (*.f64 -1/6 (sin.f64 th)) kx) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 kx 3)))) (pow.f64 ky 3) (/.f64 (sin.f64 th) (/.f64 kx ky)))
(fma.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) kx) (*.f64 (/.f64 (sin.f64 th) (pow.f64 kx 3)) -1/2)) (pow.f64 ky 3) (*.f64 (/.f64 (sin.f64 th) kx) ky))
(fma.f64 (*.f64 (/.f64 (sin.f64 th) kx) (-.f64 -1/6 (/.f64 1/2 (*.f64 kx kx)))) (pow.f64 ky 3) (*.f64 (/.f64 ky kx) (sin.f64 th)))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) kx)) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 kx 3)))) (pow.f64 ky 3)) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) kx) (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) kx)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2)) (sin.f64 th)) (pow.f64 kx 3))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) kx)) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 kx 3)))) (pow.f64 kx 2))))) (pow.f64 ky 5))))
(+.f64 (fma.f64 (+.f64 (/.f64 (*.f64 -1/6 (sin.f64 th)) kx) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 kx 3)))) (pow.f64 ky 3) (/.f64 (sin.f64 th) (/.f64 kx ky))) (*.f64 (-.f64 (*.f64 (/.f64 (sin.f64 th) kx) 1/120) (fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2)) (/.f64 (pow.f64 kx 3) (sin.f64 th))) (*.f64 1/2 (/.f64 (+.f64 (/.f64 (*.f64 -1/6 (sin.f64 th)) kx) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 kx 3)))) (*.f64 kx kx))))) (pow.f64 ky 5)))
(fma.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) kx) (*.f64 (/.f64 (sin.f64 th) (pow.f64 kx 3)) -1/2)) (pow.f64 ky 3) (fma.f64 (-.f64 (/.f64 1/120 (/.f64 kx (sin.f64 th))) (fma.f64 1/2 (/.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) kx) (*.f64 (/.f64 (sin.f64 th) (pow.f64 kx 3)) -1/2)) (*.f64 kx kx)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 kx 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2))))))) (pow.f64 ky 5) (*.f64 (/.f64 (sin.f64 th) kx) ky)))
(fma.f64 (*.f64 (/.f64 (sin.f64 th) kx) (-.f64 -1/6 (/.f64 1/2 (*.f64 kx kx)))) (pow.f64 ky 3) (fma.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 th) kx) 1/120 (*.f64 1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 kx 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2))))) (*.f64 -1/2 (/.f64 (*.f64 (/.f64 (sin.f64 th) kx) (-.f64 -1/6 (/.f64 1/2 (*.f64 kx kx)))) (*.f64 kx kx)))) (pow.f64 ky 5) (*.f64 (/.f64 ky kx) (sin.f64 th))))
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(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 kx kx (pow.f64 (sin.f64 ky) 2))))))
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(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
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(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 kx 3)) (pow.f64 (sin.f64 ky) 3)) (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))) (*.f64 (*.f64 (/.f64 (sin.f64 th) (pow.f64 kx 5)) (pow.f64 (sin.f64 ky) 5)) -3/8))
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(-.f64 (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 kx 3)) (pow.f64 (sin.f64 ky) 3)) (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))) (/.f64 (fma.f64 -1/2 (*.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 (pow.f64 (sin.f64 ky) 5) (*.f64 (sin.f64 th) -3/8))) (*.f64 1/8 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 7)))) (pow.f64 kx 7))) (*.f64 (*.f64 (/.f64 (sin.f64 th) (pow.f64 kx 5)) (pow.f64 (sin.f64 ky) 5)) -3/8))
(-.f64 (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 kx 3)) (pow.f64 (sin.f64 ky) 3)) (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))) (*.f64 (*.f64 (/.f64 (sin.f64 th) (pow.f64 kx 5)) (pow.f64 (sin.f64 ky) 5)) -3/8)) (/.f64 (fma.f64 -1/2 (*.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 (pow.f64 (sin.f64 ky) 5) (*.f64 (sin.f64 th) -3/8))) (*.f64 (pow.f64 (sin.f64 ky) 7) (*.f64 (sin.f64 th) 1/8))) (pow.f64 kx 7)))
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(neg.f64 (/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))))
(/.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 ky)) kx)
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
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(-.f64 (*.f64 1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 kx 3)) (pow.f64 (sin.f64 ky) 3))) (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky)))
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(+.f64 (*.f64 -1 (/.f64 (sin.f64 th) kx)) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (pow.f64 kx 3))))
(fma.f64 -1 (/.f64 (sin.f64 th) kx) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (pow.f64 kx 3))))
(-.f64 (/.f64 (*.f64 (sin.f64 th) 1/2) (/.f64 (pow.f64 kx 3) (pow.f64 (sin.f64 ky) 2))) (/.f64 (sin.f64 th) kx))
(-.f64 (*.f64 (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 kx 3))) (pow.f64 (sin.f64 ky) 2)) (/.f64 (sin.f64 th) kx))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (pow.f64 kx 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (pow.f64 kx 5))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 th) kx)) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (pow.f64 kx 3))))))
(fma.f64 -1/4 (/.f64 (sin.f64 th) (/.f64 (pow.f64 kx 5) (pow.f64 (sin.f64 ky) 4))) (fma.f64 -1/8 (/.f64 (sin.f64 th) (/.f64 (pow.f64 kx 5) (pow.f64 (sin.f64 ky) 4))) (fma.f64 -1 (/.f64 (sin.f64 th) kx) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (pow.f64 kx 3))))))
(+.f64 (-.f64 (/.f64 (*.f64 (sin.f64 th) 1/2) (/.f64 (pow.f64 kx 3) (pow.f64 (sin.f64 ky) 2))) (/.f64 (sin.f64 th) kx)) (*.f64 (*.f64 (/.f64 (sin.f64 th) (pow.f64 kx 5)) (pow.f64 (sin.f64 ky) 4)) -3/8))
(+.f64 (*.f64 (*.f64 (/.f64 (sin.f64 th) (pow.f64 kx 5)) (pow.f64 (sin.f64 ky) 4)) -3/8) (-.f64 (*.f64 (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 kx 3))) (pow.f64 (sin.f64 ky) 2)) (/.f64 (sin.f64 th) kx)))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (pow.f64 kx 5))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/4 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)))) (pow.f64 (sin.f64 ky) 2)) (pow.f64 kx 7))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (pow.f64 kx 5))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 th) kx)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 6)) (pow.f64 kx 7))) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (pow.f64 kx 3))))))))
(fma.f64 -1/4 (/.f64 (sin.f64 th) (/.f64 (pow.f64 kx 5) (pow.f64 (sin.f64 ky) 4))) (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) -3/8) (/.f64 (pow.f64 kx 7) (pow.f64 (sin.f64 ky) 2))) (fma.f64 -1/8 (/.f64 (sin.f64 th) (/.f64 (pow.f64 kx 5) (pow.f64 (sin.f64 ky) 4))) (fma.f64 -1 (/.f64 (sin.f64 th) kx) (fma.f64 1/8 (/.f64 (sin.f64 th) (/.f64 (pow.f64 kx 7) (pow.f64 (sin.f64 ky) 6))) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (pow.f64 kx 3))))))))
(fma.f64 -1/4 (*.f64 (/.f64 (sin.f64 th) (pow.f64 kx 5)) (pow.f64 (sin.f64 ky) 4)) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 ky) 4) -3/8)) (pow.f64 kx 7)) (pow.f64 (sin.f64 ky) 2)) (fma.f64 -1/8 (*.f64 (/.f64 (sin.f64 th) (pow.f64 kx 5)) (pow.f64 (sin.f64 ky) 4)) (-.f64 (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 kx 3)) (pow.f64 (sin.f64 ky) 2)) (*.f64 1/8 (*.f64 (/.f64 (sin.f64 th) (pow.f64 kx 7)) (pow.f64 (sin.f64 ky) 6)))) (/.f64 (sin.f64 th) kx)))))
(fma.f64 -1/4 (*.f64 (/.f64 (sin.f64 th) (pow.f64 kx 5)) (pow.f64 (sin.f64 ky) 4)) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 ky) 4) -3/8)) (pow.f64 kx 7)) (pow.f64 (sin.f64 ky) 2)) (fma.f64 -1/8 (*.f64 (/.f64 (sin.f64 th) (pow.f64 kx 5)) (pow.f64 (sin.f64 ky) 4)) (-.f64 (fma.f64 1/8 (*.f64 (/.f64 (sin.f64 th) (pow.f64 kx 7)) (pow.f64 (sin.f64 ky) 6)) (*.f64 (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 kx 3))) (pow.f64 (sin.f64 ky) 2))) (/.f64 (sin.f64 th) kx)))))
kx
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) kx)) kx)
(fma.f64 1/2 (/.f64 (*.f64 ky ky) kx) kx)
(fma.f64 1/2 (/.f64 ky (/.f64 kx ky)) kx)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) kx)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2)) (pow.f64 ky 4)) kx)) kx))
(fma.f64 1/2 (/.f64 (*.f64 ky ky) kx) (fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2)) (/.f64 kx (pow.f64 ky 4))) kx))
(fma.f64 1/2 (/.f64 ky (/.f64 kx ky)) (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2)) kx) (pow.f64 ky 4)) kx))
(fma.f64 1/2 (/.f64 ky (/.f64 kx ky)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 ky 4) kx) (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2))) kx))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) kx)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2)) (pow.f64 kx 2)))) (pow.f64 ky 6)) kx)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2)) (pow.f64 ky 4)) kx)) kx)))
(fma.f64 1/2 (/.f64 (*.f64 ky ky) kx) (fma.f64 1/2 (/.f64 (+.f64 2/45 (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2)) (*.f64 kx kx)))) (/.f64 kx (pow.f64 ky 6))) (fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2)) (/.f64 kx (pow.f64 ky 4))) kx)))
(fma.f64 1/2 (/.f64 ky (/.f64 kx ky)) (fma.f64 1/2 (*.f64 (/.f64 (+.f64 2/45 (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2)) (*.f64 kx kx)))) kx) (pow.f64 ky 6)) (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2)) kx) (pow.f64 ky 4)) kx)))
(fma.f64 1/2 (/.f64 ky (/.f64 kx ky)) (fma.f64 1/2 (*.f64 (/.f64 (+.f64 2/45 (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2)) (*.f64 kx kx)))) kx) (pow.f64 ky 6)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 ky 4) kx) (+.f64 1/3 (pow.f64 (/.f64 1/2 kx) 2))) kx)))
(sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))
(sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 kx (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))
(sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 kx (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))
(sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 kx (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))
(sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 kx (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))
(sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 kx (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))
(sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 kx (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))
(sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 kx (sin.f64 ky))
(sqrt.f64 (+.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))
(sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)))
(hypot.f64 kx (sin.f64 ky))
(sin.f64 ky)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))) (sin.f64 ky))
(fma.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (sin.f64 ky))
(fma.f64 1/2 (/.f64 kx (/.f64 (sin.f64 ky) kx)) (sin.f64 ky))
(fma.f64 1/2 (*.f64 (/.f64 kx (sin.f64 ky)) kx) (sin.f64 ky))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 (sin.f64 ky) 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))) (sin.f64 ky)))
(fma.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 (sin.f64 ky) 3)) (fma.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (sin.f64 ky)))
(fma.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 (sin.f64 ky) 3)) (fma.f64 1/2 (/.f64 kx (/.f64 (sin.f64 ky) kx)) (sin.f64 ky)))
(fma.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 (sin.f64 ky) 3)) (fma.f64 1/2 (*.f64 (/.f64 kx (sin.f64 ky)) kx) (sin.f64 ky)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 (sin.f64 ky) 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (sin.f64 ky))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 kx 6) (pow.f64 (sin.f64 ky) 5))) (sin.f64 ky))))
(fma.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 (sin.f64 ky) 3)) (fma.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (fma.f64 1/16 (/.f64 (pow.f64 kx 6) (pow.f64 (sin.f64 ky) 5)) (sin.f64 ky))))
(fma.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 (sin.f64 ky) 3)) (fma.f64 1/2 (/.f64 kx (/.f64 (sin.f64 ky) kx)) (fma.f64 1/16 (/.f64 (pow.f64 kx 6) (pow.f64 (sin.f64 ky) 5)) (sin.f64 ky))))
(fma.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 (sin.f64 ky) 3)) (fma.f64 1/2 (*.f64 (/.f64 kx (sin.f64 ky)) kx) (fma.f64 1/16 (/.f64 (pow.f64 kx 6) (pow.f64 (sin.f64 ky) 5)) (sin.f64 ky))))
kx
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 ky) 2) kx)) kx)
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 ky) 2) kx) kx)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 ky) 2) kx)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (sin.f64 ky) 4) (pow.f64 kx 3))) kx))
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 ky) 2) kx) (fma.f64 -1/8 (/.f64 (pow.f64 (sin.f64 ky) 4) (pow.f64 kx 3)) kx))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 ky) 2) kx)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (sin.f64 ky) 6) (pow.f64 kx 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (sin.f64 ky) 4) (pow.f64 kx 3))) kx)))
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 ky) 2) kx) (fma.f64 1/16 (/.f64 (pow.f64 (sin.f64 ky) 6) (pow.f64 kx 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (sin.f64 ky) 4) (pow.f64 kx 3)) kx)))
(*.f64 -1 kx)
(neg.f64 kx)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 ky) 2) kx)) (*.f64 -1 kx))
(fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 ky) 2) kx) (neg.f64 kx))
(-.f64 (*.f64 (/.f64 -1/2 kx) (pow.f64 (sin.f64 ky) 2)) kx)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 ky) 2) kx)) (+.f64 (*.f64 -1 kx) (*.f64 1/8 (/.f64 (pow.f64 (sin.f64 ky) 4) (pow.f64 kx 3)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 ky) 2) kx) (fma.f64 -1 kx (*.f64 1/8 (/.f64 (pow.f64 (sin.f64 ky) 4) (pow.f64 kx 3)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 ky) 2) kx) (-.f64 (*.f64 1/8 (/.f64 (pow.f64 (sin.f64 ky) 4) (pow.f64 kx 3))) kx))
(+.f64 (*.f64 -1/16 (/.f64 (pow.f64 (sin.f64 ky) 6) (pow.f64 kx 5))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 ky) 2) kx)) (+.f64 (*.f64 -1 kx) (*.f64 1/8 (/.f64 (pow.f64 (sin.f64 ky) 4) (pow.f64 kx 3))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (sin.f64 ky) 6) (pow.f64 kx 5)) (fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 ky) 2) kx) (fma.f64 -1 kx (*.f64 1/8 (/.f64 (pow.f64 (sin.f64 ky) 4) (pow.f64 kx 3))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 ky) 6) (pow.f64 kx 5)) -1/16 (fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 ky) 2) kx) (-.f64 (*.f64 1/8 (/.f64 (pow.f64 (sin.f64 ky) 4) (pow.f64 kx 3))) kx)))

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
0.2b
(*.f64 (sin.f64 ky) (sin.f64 th))
✓0.4b
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
✓1.9b
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
Compiler

Compiled 47 to 12 computations (74.5% saved)

series19.0ms (0%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
8.0ms
th
@0
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
1.0ms
ky
@0
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
1.0ms
th
@inf
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
1.0ms
th
@-inf
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
1.0ms
kx
@0
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))

rewrite82.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
639×log-prod_binary64
373×prod-diff_binary64
331×pow2_binary64
232×pow1/3_binary64
228×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01239
125136
2337936
Stop Event
1×node limit
Counts
2 → 101
Calls
Call 1
Inputs
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (*.f64 (sin.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule 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(sin.f64 kx)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 3) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))) 1))))))

simplify89.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
757×associate-*l*_binary64
537×times-frac_binary64
479×associate-/l*_binary64
369×associate-/r*_binary64
361×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02023478
16513070
224272895
Stop Event
1×node limit
Counts
173 → 150
Calls
Call 1
Inputs
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) (sin.f64 th)))) (*.f64 -1/6 (/.f64 (sin.f64 kx) (sin.f64 th)))) ky) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) (sin.f64 th)))) (*.f64 -1/6 (/.f64 (sin.f64 kx) (sin.f64 th)))) ky) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (*.f64 (sin.f64 kx) (sin.f64 th)))) (+.f64 (*.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 th))) (*.f64 -1/6 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) (sin.f64 th)))) (*.f64 -1/6 (/.f64 (sin.f64 kx) (sin.f64 th))))))) (pow.f64 ky 3)) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))))
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 kx) (sin.f64 th)))) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (*.f64 (sin.f64 kx) (sin.f64 th)))) (+.f64 (*.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 th))) (*.f64 -1/6 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) (sin.f64 th)))) (*.f64 -1/6 (/.f64 (sin.f64 kx) (sin.f64 th)))))))) (+.f64 (*.f64 1/120 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) (sin.f64 th)))) (*.f64 -1/6 (/.f64 (sin.f64 kx) (sin.f64 th))))) (*.f64 -1/5040 (/.f64 (sin.f64 kx) (sin.f64 th)))))) (pow.f64 ky 5)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) (sin.f64 th)))) (*.f64 -1/6 (/.f64 (sin.f64 kx) (sin.f64 th)))) ky) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (*.f64 (sin.f64 kx) (sin.f64 th)))) (+.f64 (*.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 th))) (*.f64 -1/6 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) (sin.f64 th)))) (*.f64 -1/6 (/.f64 (sin.f64 kx) (sin.f64 th))))))) (pow.f64 ky 3)) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 1 (sin.f64 th))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)))) (/.f64 1 (sin.f64 th)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)))) (+.f64 (/.f64 1 (sin.f64 th)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 kx 4)) (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 6)) (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)))) (+.f64 (/.f64 1 (sin.f64 th)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 kx 4)) (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)))))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th)))
(+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 th (sin.f64 ky)))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))) (*.f64 1/120 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky))))) (pow.f64 th 3))) (+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 th (sin.f64 ky)))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 -1/36 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))) (*.f64 1/120 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))))) (+.f64 (*.f64 1/720 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))) (*.f64 -1/5040 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))))) (pow.f64 th 5))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))) (*.f64 1/120 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky))))) (pow.f64 th 3))) (+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 th (sin.f64 ky)))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th))))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5)) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5)) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 (sin.f64 kx) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 2))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)) (pow.f64 (sin.f64 kx) 3)))))) (pow.f64 ky 7)) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(sin.f64 th)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (+.f64 (sin.f64 th) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 (sin.f64 ky) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2))))) (pow.f64 (sin.f64 ky) 2))) (*.f64 1/4 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 4))))) (pow.f64 kx 6))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))
(+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))))
(+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (+.f64 (*.f64 -1/5040 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 7)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
Outputs
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) (sin.f64 th)))) (*.f64 -1/6 (/.f64 (sin.f64 kx) (sin.f64 th)))) ky) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(fma.f64 (+.f64 (/.f64 1/2 (*.f64 (sin.f64 kx) (sin.f64 th))) (*.f64 1/6 (/.f64 (sin.f64 kx) (sin.f64 th)))) ky (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(fma.f64 ky (-.f64 (/.f64 (/.f64 1/2 (sin.f64 kx)) (sin.f64 th)) (*.f64 -1/6 (/.f64 (sin.f64 kx) (sin.f64 th)))) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(fma.f64 ky (-.f64 (/.f64 (/.f64 1/2 (sin.f64 kx)) (sin.f64 th)) (*.f64 (/.f64 -1/6 (sin.f64 th)) (sin.f64 kx))) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) (sin.f64 th)))) (*.f64 -1/6 (/.f64 (sin.f64 kx) (sin.f64 th)))) ky) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (*.f64 (sin.f64 kx) (sin.f64 th)))) (+.f64 (*.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 th))) (*.f64 -1/6 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) (sin.f64 th)))) (*.f64 -1/6 (/.f64 (sin.f64 kx) (sin.f64 th))))))) (pow.f64 ky 3)) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))))
(fma.f64 (+.f64 (/.f64 1/2 (*.f64 (sin.f64 kx) (sin.f64 th))) (*.f64 1/6 (/.f64 (sin.f64 kx) (sin.f64 th)))) ky (fma.f64 (-.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (*.f64 (sin.f64 kx) (sin.f64 th)))) (fma.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 th)) (*.f64 -1/6 (+.f64 (/.f64 1/2 (*.f64 (sin.f64 kx) (sin.f64 th))) (*.f64 1/6 (/.f64 (sin.f64 kx) (sin.f64 th))))))) (pow.f64 ky 3) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))))
(fma.f64 ky (-.f64 (/.f64 (/.f64 1/2 (sin.f64 kx)) (sin.f64 th)) (*.f64 -1/6 (/.f64 (sin.f64 kx) (sin.f64 th)))) (fma.f64 (-.f64 (*.f64 -1/2 (/.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (sin.f64 kx)) (sin.f64 th))) (fma.f64 -1/6 (-.f64 (/.f64 (/.f64 1/2 (sin.f64 kx)) (sin.f64 th)) (*.f64 -1/6 (/.f64 (sin.f64 kx) (sin.f64 th)))) (*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) 1/120))) (pow.f64 ky 3) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))))
(fma.f64 ky (-.f64 (/.f64 (/.f64 1/2 (sin.f64 kx)) (sin.f64 th)) (*.f64 (/.f64 -1/6 (sin.f64 th)) (sin.f64 kx))) (fma.f64 (-.f64 (fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (*.f64 (sin.f64 kx) (sin.f64 th))) (*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) -1/120)) (+.f64 (*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) -1/36) (/.f64 -1/12 (*.f64 (sin.f64 kx) (sin.f64 th))))) (pow.f64 ky 3) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))))
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 kx) (sin.f64 th)))) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (*.f64 (sin.f64 kx) (sin.f64 th)))) (+.f64 (*.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 th))) (*.f64 -1/6 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) (sin.f64 th)))) (*.f64 -1/6 (/.f64 (sin.f64 kx) (sin.f64 th)))))))) (+.f64 (*.f64 1/120 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) (sin.f64 th)))) (*.f64 -1/6 (/.f64 (sin.f64 kx) (sin.f64 th))))) (*.f64 -1/5040 (/.f64 (sin.f64 kx) (sin.f64 th)))))) (pow.f64 ky 5)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) (sin.f64 th)))) (*.f64 -1/6 (/.f64 (sin.f64 kx) (sin.f64 th)))) ky) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (*.f64 (sin.f64 kx) (sin.f64 th)))) (+.f64 (*.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 th))) (*.f64 -1/6 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) (sin.f64 th)))) (*.f64 -1/6 (/.f64 (sin.f64 kx) (sin.f64 th))))))) (pow.f64 ky 3)) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))))
(fma.f64 (-.f64 (*.f64 1/2 (/.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 kx) (sin.f64 th)))) (fma.f64 -1/6 (-.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (*.f64 (sin.f64 kx) (sin.f64 th)))) (fma.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 th)) (*.f64 -1/6 (+.f64 (/.f64 1/2 (*.f64 (sin.f64 kx) (sin.f64 th))) (*.f64 1/6 (/.f64 (sin.f64 kx) (sin.f64 th))))))) (fma.f64 1/120 (+.f64 (/.f64 1/2 (*.f64 (sin.f64 kx) (sin.f64 th))) (*.f64 1/6 (/.f64 (sin.f64 kx) (sin.f64 th)))) (/.f64 (*.f64 -1/5040 (sin.f64 kx)) (sin.f64 th))))) (pow.f64 ky 5) (fma.f64 (+.f64 (/.f64 1/2 (*.f64 (sin.f64 kx) (sin.f64 th))) (*.f64 1/6 (/.f64 (sin.f64 kx) (sin.f64 th)))) ky (fma.f64 (-.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (*.f64 (sin.f64 kx) (sin.f64 th)))) (fma.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 th)) (*.f64 -1/6 (+.f64 (/.f64 1/2 (*.f64 (sin.f64 kx) (sin.f64 th))) (*.f64 1/6 (/.f64 (sin.f64 kx) (sin.f64 th))))))) (pow.f64 ky 3) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))))
(fma.f64 (-.f64 (*.f64 1/2 (/.f64 (-.f64 2/45 (/.f64 (+.f64 -1/6 (*.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 2))) (*.f64 (sin.f64 kx) (sin.f64 th)))) (fma.f64 -1/6 (-.f64 (*.f64 -1/2 (/.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (sin.f64 kx)) (sin.f64 th))) (fma.f64 -1/6 (-.f64 (/.f64 (/.f64 1/2 (sin.f64 kx)) (sin.f64 th)) (*.f64 -1/6 (/.f64 (sin.f64 kx) (sin.f64 th)))) (*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) 1/120))) (fma.f64 (-.f64 (/.f64 (/.f64 1/2 (sin.f64 kx)) (sin.f64 th)) (*.f64 -1/6 (/.f64 (sin.f64 kx) (sin.f64 th)))) 1/120 (*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) -1/5040)))) (pow.f64 ky 5) (fma.f64 ky (-.f64 (/.f64 (/.f64 1/2 (sin.f64 kx)) (sin.f64 th)) (*.f64 -1/6 (/.f64 (sin.f64 kx) (sin.f64 th)))) (fma.f64 (-.f64 (*.f64 -1/2 (/.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (sin.f64 kx)) (sin.f64 th))) (fma.f64 -1/6 (-.f64 (/.f64 (/.f64 1/2 (sin.f64 kx)) (sin.f64 th)) (*.f64 -1/6 (/.f64 (sin.f64 kx) (sin.f64 th)))) (*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) 1/120))) (pow.f64 ky 3) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))))
(fma.f64 (-.f64 (/.f64 (+.f64 1/45 (*.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)) 1/4)) (*.f64 (sin.f64 kx) (sin.f64 th))) (fma.f64 -1/6 (-.f64 (fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (*.f64 (sin.f64 kx) (sin.f64 th))) (*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) -1/120)) (+.f64 (*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) -1/36) (/.f64 -1/12 (*.f64 (sin.f64 kx) (sin.f64 th))))) (fma.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) -1/5040 (+.f64 (*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) 1/720) (/.f64 1/240 (*.f64 (sin.f64 kx) (sin.f64 th))))))) (pow.f64 ky 5) (fma.f64 ky (-.f64 (/.f64 (/.f64 1/2 (sin.f64 kx)) (sin.f64 th)) (*.f64 (/.f64 -1/6 (sin.f64 th)) (sin.f64 kx))) (fma.f64 (-.f64 (fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (*.f64 (sin.f64 kx) (sin.f64 th))) (*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) -1/120)) (+.f64 (*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) -1/36) (/.f64 -1/12 (*.f64 (sin.f64 kx) (sin.f64 th))))) (pow.f64 ky 3) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 1 (sin.f64 th))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)))) (/.f64 1 (sin.f64 th)))
(fma.f64 1/2 (/.f64 (*.f64 kx kx) (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (sin.f64 th)))
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(fma.f64 (-.f64 (/.f64 (*.f64 1/120 (sin.f64 th)) (sin.f64 kx)) (fma.f64 1/2 (/.f64 (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2)) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5) (+.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (*.f64 (pow.f64 ky 3) (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))))))
(fma.f64 (pow.f64 ky 5) (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (fma.f64 1/2 (/.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2)) (/.f64 (*.f64 (+.f64 -1/6 (*.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (sin.f64 th)) (pow.f64 (sin.f64 kx) 3)))) (fma.f64 (pow.f64 ky 3) (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
(fma.f64 (pow.f64 ky 5) (fma.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 (*.f64 1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (*.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2))))))) (fma.f64 (pow.f64 ky 3) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
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(fma.f64 (-.f64 (/.f64 (*.f64 1/120 (sin.f64 th)) (sin.f64 kx)) (fma.f64 1/2 (/.f64 (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2)) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5) (+.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (fma.f64 (-.f64 (*.f64 -1/5040 (/.f64 (sin.f64 th) (sin.f64 kx))) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 (*.f64 1/120 (sin.f64 th)) (sin.f64 kx)) (fma.f64 1/2 (/.f64 (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2)) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 (sin.f64 kx) 2)) (fma.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (/.f64 (pow.f64 (sin.f64 kx) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (*.f64 1/2 (/.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (pow.f64 (sin.f64 kx) 3) (sin.f64 th))))))) (pow.f64 ky 7) (*.f64 (pow.f64 ky 3) (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3))))))))
(+.f64 (fma.f64 (-.f64 (/.f64 -1/5040 (/.f64 (sin.f64 kx) (sin.f64 th))) (fma.f64 1/2 (/.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (fma.f64 1/2 (/.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2)) (/.f64 (*.f64 (+.f64 -1/6 (*.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (sin.f64 th)) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2)) (fma.f64 1/2 (*.f64 (/.f64 (-.f64 2/45 (/.f64 (+.f64 -1/6 (*.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 2))) (pow.f64 (sin.f64 kx) 3)) (sin.f64 th)) (*.f64 -1/2 (*.f64 (/.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))))))) (pow.f64 ky 7) (*.f64 (pow.f64 ky 3) (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))))) (fma.f64 (pow.f64 ky 5) (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (fma.f64 1/2 (/.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2)) (/.f64 (*.f64 (+.f64 -1/6 (*.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (sin.f64 th)) (pow.f64 (sin.f64 kx) 3)))) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
(+.f64 (fma.f64 (-.f64 (*.f64 (/.f64 -1/5040 (sin.f64 kx)) (sin.f64 th)) (fma.f64 1/2 (/.f64 (fma.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 (*.f64 1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (*.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2))))))) (pow.f64 (sin.f64 kx) 2)) (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2))))) (*.f64 (/.f64 (+.f64 1/45 (*.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)) 1/4)) (pow.f64 (sin.f64 kx) 3)) (sin.f64 th))))) (pow.f64 ky 7) (*.f64 (pow.f64 ky 3) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))))) (fma.f64 (pow.f64 ky 5) (fma.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 (*.f64 1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (*.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2))))))) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
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(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2))))))
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(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
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(sin.f64 th)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th))
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(fma.f64 -1/2 (*.f64 (/.f64 kx (/.f64 (pow.f64 (sin.f64 ky) 2) kx)) (sin.f64 th)) (sin.f64 th))
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(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (*.f64 kx kx)) (sin.f64 th)) (*.f64 (pow.f64 kx 4) (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (/.f64 -1/4 (/.f64 (pow.f64 (sin.f64 ky) 4) (sin.f64 th))))))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 kx (/.f64 (pow.f64 (sin.f64 ky) 2) kx)) (sin.f64 th)) (sin.f64 th)) (*.f64 (pow.f64 kx 4) (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 1/3 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2))) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th)) (*.f64 (/.f64 -1/4 (pow.f64 (sin.f64 ky) 4)) (sin.f64 th)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (+.f64 (sin.f64 th) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 (sin.f64 ky) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2))))) (pow.f64 (sin.f64 ky) 2))) (*.f64 1/4 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 4))))) (pow.f64 kx 6))))))
(fma.f64 -1 (*.f64 (pow.f64 kx 4) (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))))))) (+.f64 (fma.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th)) (neg.f64 (*.f64 (pow.f64 kx 6) (fma.f64 -1/2 (/.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))))) (pow.f64 (sin.f64 ky) 2)) (fma.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2))))) (pow.f64 (sin.f64 ky) 2)) (*.f64 1/4 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))))))))))
(-.f64 (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (*.f64 kx kx)) (sin.f64 th)) (*.f64 (pow.f64 kx 6) (fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (/.f64 -1/4 (/.f64 (pow.f64 (sin.f64 ky) 4) (sin.f64 th)))) (pow.f64 (sin.f64 ky) 2)) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 2/45 (/.f64 (*.f64 1/2 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (pow.f64 (sin.f64 ky) 2)))) (*.f64 1/4 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))))))))) (*.f64 (pow.f64 kx 4) (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (/.f64 -1/4 (/.f64 (pow.f64 (sin.f64 ky) 4) (sin.f64 th))))))
(-.f64 (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 kx (/.f64 (pow.f64 (sin.f64 ky) 2) kx)) (sin.f64 th)) (sin.f64 th)) (*.f64 (pow.f64 kx 4) (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 1/3 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2))) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th)) (*.f64 (/.f64 -1/4 (pow.f64 (sin.f64 ky) 4)) (sin.f64 th))))) (*.f64 (pow.f64 kx 6) (fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 1/3 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2))) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th)) (*.f64 (/.f64 -1/4 (pow.f64 (sin.f64 ky) 4)) (sin.f64 th))) (pow.f64 (sin.f64 ky) 2)) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 2/45 (/.f64 (+.f64 1/6 (*.f64 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)) 1/2)) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 (+.f64 1/3 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2))) 1/4))))))
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(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
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(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))))
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(fma.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3))) (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(fma.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (*.f64 -1/6 (*.f64 (sin.f64 ky) (pow.f64 th 3))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
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(+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))))
(fma.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5))) (fma.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3))) (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))))
(fma.f64 1/120 (*.f64 (sin.f64 ky) (*.f64 (pow.f64 th 5) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) (fma.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (*.f64 -1/6 (*.f64 (sin.f64 ky) (pow.f64 th 3))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))))
(fma.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5))) (*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2))))) (+.f64 th (*.f64 (pow.f64 th 3) -1/6))))
(+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (+.f64 (*.f64 -1/5040 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 7)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))))
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(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
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(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
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(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
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(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2))))))

eval319.0ms (0.7%)

Compiler

Compiled 19195 to 8792 computations (54.2% saved)

prune274.0ms (0.6%)

Pruning

59 alts after pruning (54 fresh and 5 done)

PrunedKeptTotal
New75936795
Fresh111829
Picked011
Done448
Total77459833
Error
0b
Counts
833 → 59
Alt Table
Click to see full alt table
StatusErrorProgram
49.6b
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
25.6b
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))) 2)
29.4b
(*.f64 (sin.f64 ky) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)) -1))
51.4b
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
1.3b
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))) 3)
47.1b
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th))
46.2b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
55.0b
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
0.6b
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
49.6b
(/.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 th)) (sin.f64 ky)))
52.1b
(log.f64 (exp.f64 (sin.f64 th)))
35.1b
(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
57.4b
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
57.9b
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th) (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th th))))
48.0b
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
46.4b
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
52.1b
(-.f64 (+.f64 1 (sin.f64 th)) 1)
47.6b
(*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))))
✓0.2b
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
56.1b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (neg.f64 kx)))
34.4b
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
✓2.1b
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
35.3b
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) ky)))
57.8b
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (/.f64 (sin.f64 th) ky)))
43.9b
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 th))
46.9b
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
▶56.1b
(+.f64 (pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3) th)
▶0.3b
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
49.8b
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
✓0.3b
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
57.4b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
29.3b
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
13.6b
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
✓0.3b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
13.3b
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
▶47.0b
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
0.4b
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 th))))
55.8b
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 th 3) th) 2))
▶58.7b
(*.f64 -1/6 (pow.f64 th 3))
55.0b
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (*.f64 1/6 (*.f64 (sin.f64 ky) th))))
55.4b
th
2.0b
(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sin.f64 ky) (sin.f64 th)))
56.1b
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
31.9b
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
54.8b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky (/.f64 kx ky)) kx)))
33.8b
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
32.3b
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
46.2b
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
55.3b
(*.f64 (/.f64 ky kx) (sin.f64 th))
48.0b
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
49.6b
(/.f64 1 (/.f64 1 (sin.f64 th)))
29.4b
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th)))
55.9b
(/.f64 (*.f64 (sin.f64 th) ky) kx)
56.7b
(exp.f64 (log.f64 (sin.f64 th)))
48.6b
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
▶34.0b
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
55.6b
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
✓49.6b
(sin.f64 th)
49.6b
(log1p.f64 (expm1.f64 (sin.f64 th)))
Compiler

Compiled 1453 to 1049 computations (27.8% saved)

localize22.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 kx)
0.0b
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓0.1b
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
✓0.2b
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
Compiler

Compiled 36 to 9 computations (75% saved)

series9.0ms (0%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
1.0ms
ky
@0
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
1.0ms
ky
@-inf
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
1.0ms
ky
@inf
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
1.0ms
ky
@0
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
1.0ms
kx
@inf
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))

rewrite92.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
570×log-prod_binary64
452×exp-prod_binary64
289×pow-prod-down_binary64
287×pow2_binary64
201×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
120931
2283531
Stop Event
1×node limit
Counts
2 → 104
Calls
Call 1
Inputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (*.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 th)) (*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 th)) (/.f64 1 (/.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 th)) 1) (/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 1 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 th) (/.f64 1 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (cbrt.f64 (sin.f64 th)) (/.f64 1 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) -2) (/.f64 (sin.f64 th) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) 2)) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) 2)) (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) -1/2) (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) 1) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (cbrt.f64 (pow.f64 (sin.f64 ky) 2))) (cbrt.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) 1) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 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(sin.f64 kx)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) 1) 1))))))

simplify108.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
742×fma-def_binary64
573×associate-*l*_binary64
572×associate-*r*_binary64
363×times-frac_binary64
333×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01762666
15392460
218562292
Stop Event
1×node limit
Counts
164 → 145
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))
(+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))))
(+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (+.f64 (*.f64 -1/5040 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 7)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5)) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 5)) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 (sin.f64 kx) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 2))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)) (pow.f64 (sin.f64 kx) 3)))))) (pow.f64 ky 7)) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(sin.f64 th)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (+.f64 (sin.f64 th) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 (sin.f64 ky) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2))))) (pow.f64 (sin.f64 ky) 2))) (*.f64 1/4 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 4))))) (pow.f64 kx 6))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) ky)
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))
(+.f64 (/.f64 (sin.f64 kx) ky) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky) (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (sin.f64 kx))) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx)))) (*.f64 1/120 (sin.f64 kx)))) (pow.f64 ky 3))))
(+.f64 (/.f64 (sin.f64 kx) ky) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (sin.f64 kx))) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx)))) (*.f64 1/120 (sin.f64 kx)))) (pow.f64 ky 3)) (*.f64 (-.f64 (*.f64 1/2 (/.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 kx))) (+.f64 (*.f64 -1/5040 (sin.f64 kx)) (+.f64 (*.f64 1/120 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx)))) (*.f64 -1/6 (-.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (sin.f64 kx))) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx)))) (*.f64 1/120 (sin.f64 kx)))))))) (pow.f64 ky 5)))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
1
(+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 kx 4)) (pow.f64 (sin.f64 ky) 2))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 kx 4)) (pow.f64 (sin.f64 ky) 2))) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 6)) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
Outputs
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sin.f64 ky) (*.f64 th (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2))))))
(+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))
(fma.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))
(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) th) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) -1/6)))
(*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2))))) (+.f64 th (*.f64 (pow.f64 th 3) -1/6)))
(+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))))
(fma.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5))) (fma.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))))
(fma.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5))) (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) th) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) -1/6))))
(fma.f64 (sin.f64 ky) (*.f64 th (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2))))) (*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2))))) (+.f64 (*.f64 (pow.f64 th 3) -1/6) (*.f64 (pow.f64 th 5) 1/120))))
(+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5)))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (+.f64 (*.f64 -1/5040 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 7)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))))
(fma.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5))) (fma.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3))) (fma.f64 -1/5040 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 7))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)))))
(fma.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5))) (fma.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 3))) (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) th) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (*.f64 (sin.f64 ky) (pow.f64 th 7)) -1/5040)))))
(+.f64 (*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2))))) (+.f64 th (*.f64 (pow.f64 th 7) -1/5040))) (*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2))))) (+.f64 (*.f64 (pow.f64 th 3) -1/6) (*.f64 (pow.f64 th 5) 1/120))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
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(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
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(fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky (fma.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 ky 3) (*.f64 (-.f64 (fma.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 -1/2 (/.f64 (pow.f64 (sin.f64 kx) 2) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2))))))) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6))) (pow.f64 ky 5))))
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(fma.f64 (-.f64 (/.f64 (*.f64 1/120 (sin.f64 th)) (sin.f64 kx)) (fma.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))))))) (pow.f64 ky 5) (+.f64 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (fma.f64 (-.f64 (*.f64 -1/5040 (/.f64 (sin.f64 th) (sin.f64 kx))) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 (*.f64 1/120 (sin.f64 th)) (sin.f64 kx)) (fma.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))))))) (pow.f64 (sin.f64 kx) 2)) (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (/.f64 (pow.f64 (sin.f64 kx) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (*.f64 1/2 (/.f64 (+.f64 2/45 (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (pow.f64 (sin.f64 kx) 3) (sin.f64 th))))))) (pow.f64 ky 7) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)))))
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(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(sin.f64 th)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th))
(fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 kx kx))) (sin.f64 th))
(fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (*.f64 kx kx)) (sin.f64 th))
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) (sin.f64 th)) (sin.f64 th))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th)))
(fma.f64 -1 (*.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))))) (pow.f64 kx 4)) (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 kx kx))) (sin.f64 th)))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (*.f64 kx kx)) (sin.f64 th)) (*.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)))) (pow.f64 kx 4)))
(-.f64 (fma.f64 -1/2 (*.f64 (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) (sin.f64 th)) (sin.f64 th)) (*.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (fma.f64 -1/2 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)) -1/6))) (pow.f64 kx 4)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (+.f64 (sin.f64 th) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 (sin.f64 ky) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2))))) (pow.f64 (sin.f64 ky) 2))) (*.f64 1/4 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 4))))) (pow.f64 kx 6))))))
(fma.f64 -1 (*.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))))) (pow.f64 kx 4)) (+.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 kx kx))) (sin.f64 th)) (neg.f64 (*.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))))) (pow.f64 (sin.f64 ky) 2)) (fma.f64 1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 2/45 (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)))))) (*.f64 1/4 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))))))) (pow.f64 kx 6)))))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (*.f64 kx kx)) (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)))) (pow.f64 (sin.f64 ky) 2)) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 2/45 (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2))))) (*.f64 1/4 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))))))) (pow.f64 kx 6) (sin.f64 th))) (*.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)))) (pow.f64 kx 4)))
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) (sin.f64 th)) (-.f64 (fma.f64 (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (fma.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2))) (pow.f64 (sin.f64 ky) 2)) 2/45)) (fma.f64 1/4 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (+.f64 1/3 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)))) (/.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (fma.f64 -1/2 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)) -1/6)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) 1/8)) (pow.f64 (sin.f64 ky) 2)))) (neg.f64 (pow.f64 kx 6)) (sin.f64 th)) (*.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (fma.f64 -1/2 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)) -1/6))) (pow.f64 kx 4))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 kx) ky)
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx)))))
(fma.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) (/.f64 (sin.f64 kx) ky))
(fma.f64 ky (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) (/.f64 (sin.f64 kx) ky))
(+.f64 (/.f64 (sin.f64 kx) ky) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky) (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (sin.f64 kx))) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx)))) (*.f64 1/120 (sin.f64 kx)))) (pow.f64 ky 3))))
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(+.f64 (/.f64 (sin.f64 kx) ky) (fma.f64 (pow.f64 ky 3) (-.f64 (/.f64 -1/2 (/.f64 (sin.f64 kx) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (fma.f64 (sin.f64 kx) 1/120 (*.f64 -1/6 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6))))) (*.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)))))
(fma.f64 ky (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) (fma.f64 (pow.f64 ky 3) (-.f64 (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6) (sin.f64 kx)) (fma.f64 (sin.f64 kx) 1/120 (+.f64 (*.f64 (sin.f64 kx) -1/36) (/.f64 -1/12 (sin.f64 kx))))) (/.f64 (sin.f64 kx) ky)))
(+.f64 (/.f64 (sin.f64 kx) ky) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (sin.f64 kx))) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx)))) (*.f64 1/120 (sin.f64 kx)))) (pow.f64 ky 3)) (*.f64 (-.f64 (*.f64 1/2 (/.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 kx))) (+.f64 (*.f64 -1/5040 (sin.f64 kx)) (+.f64 (*.f64 1/120 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx)))) (*.f64 -1/6 (-.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (sin.f64 kx))) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx)))) (*.f64 1/120 (sin.f64 kx)))))))) (pow.f64 ky 5)))))
(+.f64 (/.f64 (sin.f64 kx) ky) (fma.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))) ky (fma.f64 (-.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (sin.f64 kx))) (fma.f64 -1/6 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))) (*.f64 (sin.f64 kx) 1/120))) (pow.f64 ky 3) (*.f64 (pow.f64 ky 5) (-.f64 (*.f64 1/2 (/.f64 (+.f64 2/45 (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 kx))) (fma.f64 -1/5040 (sin.f64 kx) (fma.f64 1/120 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))) (*.f64 -1/6 (-.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (sin.f64 kx))) (fma.f64 -1/6 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))) (*.f64 (sin.f64 kx) 1/120)))))))))))
(+.f64 (fma.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) (/.f64 (sin.f64 kx) ky)) (fma.f64 (pow.f64 ky 5) (-.f64 (*.f64 1/2 (-.f64 (/.f64 2/45 (sin.f64 kx)) (/.f64 -1/2 (/.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))) (fma.f64 (sin.f64 kx) -1/5040 (fma.f64 -1/6 (-.f64 (/.f64 -1/2 (/.f64 (sin.f64 kx) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (fma.f64 (sin.f64 kx) 1/120 (*.f64 -1/6 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6))))) (*.f64 1/120 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)))))) (*.f64 (pow.f64 ky 3) (-.f64 (/.f64 -1/2 (/.f64 (sin.f64 kx) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (fma.f64 (sin.f64 kx) 1/120 (*.f64 -1/6 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6))))))))
(+.f64 (fma.f64 ky (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) (/.f64 (sin.f64 kx) ky)) (fma.f64 (pow.f64 ky 5) (-.f64 (/.f64 (+.f64 1/45 (*.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)) 1/4)) (sin.f64 kx)) (fma.f64 -1/6 (-.f64 (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6) (sin.f64 kx)) (fma.f64 (sin.f64 kx) 1/120 (+.f64 (*.f64 (sin.f64 kx) -1/36) (/.f64 -1/12 (sin.f64 kx))))) (fma.f64 (sin.f64 kx) -1/5040 (+.f64 (*.f64 (sin.f64 kx) 1/720) (/.f64 1/240 (sin.f64 kx)))))) (*.f64 (pow.f64 ky 3) (-.f64 (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6) (sin.f64 kx)) (fma.f64 (sin.f64 kx) 1/120 (+.f64 (*.f64 (sin.f64 kx) -1/36) (/.f64 -1/12 (sin.f64 kx))))))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
1
(+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))))
(+.f64 1 (*.f64 1/2 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2))))
(fma.f64 1/2 (/.f64 kx (/.f64 (pow.f64 (sin.f64 ky) 2) kx)) 1)
(fma.f64 1/2 (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) 1)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 kx 4)) (pow.f64 (sin.f64 ky) 2))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2)))))
(fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (/.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 4))) (+.f64 1 (*.f64 1/2 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)))))
(fma.f64 -1/2 (*.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)) (pow.f64 kx 4)) (fma.f64 1/2 (/.f64 kx (/.f64 (pow.f64 (sin.f64 ky) 2) kx)) 1))
(fma.f64 -1/2 (*.f64 (/.f64 (+.f64 1/3 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2))) (pow.f64 (sin.f64 ky) 2)) (pow.f64 kx 4)) (fma.f64 1/2 (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) 1))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 kx 4)) (pow.f64 (sin.f64 ky) 2))) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 6)) (pow.f64 (sin.f64 ky) 2))))))
(fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (/.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 4))) (+.f64 1 (*.f64 1/2 (+.f64 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)) (/.f64 (+.f64 2/45 (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)))) (/.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 6)))))))
(fma.f64 -1/2 (*.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)) (pow.f64 kx 4)) (fma.f64 1/2 (+.f64 (/.f64 kx (/.f64 (pow.f64 (sin.f64 ky) 2) kx)) (/.f64 (+.f64 2/45 (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)))) (/.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 6)))) 1))
(fma.f64 1/2 (fma.f64 (/.f64 (fma.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2))) (pow.f64 (sin.f64 ky) 2)) 2/45) (pow.f64 (sin.f64 ky) 2)) (pow.f64 kx 6) (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx)) (+.f64 1 (*.f64 (/.f64 (fma.f64 -1/2 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)) -1/6) (pow.f64 (sin.f64 ky) 2)) (pow.f64 kx 4))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))

localize18.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(*.f64 -1/6 (pow.f64 th 3))
Compiler

Compiled 14 to 11 computations (21.4% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3) th)
✓0.1b
(*.f64 th (cbrt.f64 -1/6))
✓0.2b
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
✓1.0b
(cbrt.f64 -1/6)
Compiler

Compiled 26 to 21 computations (19.2% saved)

series9.0ms (0%)

Counts
4 → 36
Calls

9 calls:

TimeVariablePointExpression
6.0ms
th
@0
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
1.0ms
th
@-inf
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
1.0ms
th
@inf
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
0.0ms
th
@-inf
(+.f64 (pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3) th)
0.0ms
th
@0
(+.f64 (pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3) th)

rewrite68.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
828×pow1_binary64
782×add-log-exp_binary64
782×log1p-expm1-u_binary64
782×expm1-log1p-u_binary64
763×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0830
117924
2221024
Stop Event
1×node limit
Counts
4 → 86
Calls
Call 1
Inputs
(cbrt.f64 -1/6)
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
(*.f64 th (cbrt.f64 -1/6))
(+.f64 (pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3) th)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 -1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 -1/6)) (cbrt.f64 (cbrt.f64 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 1/36)) (cbrt.f64 (cbrt.f64 -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -1/6 1/6) (pow.f64 -1/6 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 -1/6 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 -1/6 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 -1/6)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 th 3) -1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -1/6) (*.f64 th (*.f64 (cbrt.f64 1/36) (*.f64 th th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 th (*.f64 (cbrt.f64 -1/6) (*.f64 (cbrt.f64 1/36) (*.f64 th th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 -1/6) th) (*.f64 (cbrt.f64 1/36) (*.f64 th th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 th 3) -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 th 3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 1/36) (*.f64 th th)) (*.f64 (cbrt.f64 -1/6) th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 -1/6) th)) 2) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 -1/6) th)) (*.f64 (cbrt.f64 1/36) (*.f64 th th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cbrt.f64 -1/6) th)) (*.f64 (sqrt.f64 (*.f64 (cbrt.f64 -1/6) th)) (*.f64 (cbrt.f64 1/36) (*.f64 th th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 th 3) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/6 (pow.f64 th 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 -1/6) th) 3/2) (pow.f64 (*.f64 (cbrt.f64 -1/6) th) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 -1/6) th)) 2) 3) (*.f64 (cbrt.f64 -1/6) th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 -1/6) th)) 3) (pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 -1/6) th)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (cbrt.f64 1/36) (*.f64 th th)) th) (cbrt.f64 -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (cbrt.f64 1/36) (*.f64 th th)) (cbrt.f64 -1/6)) th)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (cbrt.f64 1/36) (*.f64 th th)) 1) (*.f64 (cbrt.f64 -1/6) th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (cbrt.f64 1/36) (*.f64 th th)) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 -1/6) th)) 2)) (cbrt.f64 (*.f64 (cbrt.f64 -1/6) th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (cbrt.f64 1/36) (*.f64 th th)) (sqrt.f64 (*.f64 (cbrt.f64 -1/6) th))) (sqrt.f64 (*.f64 (cbrt.f64 -1/6) th)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 -1/6) th) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 th 3)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 -1/6) th) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 th 3) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 th 3) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 th 3) -1/6)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cbrt.f64 -1/6) th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 -1/6) th) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 th 3) -1/6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 -1/6) th)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 -1/6) th)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (cbrt.f64 1/36) (*.f64 th th)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cbrt.f64 -1/6)) th))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 th 3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 -1/6) th)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 -1/6) th)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 -1/6) th)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (pow.f64 th 3) -1/6 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (cbrt.f64 -1/6) th) 6) (fma.f64 (pow.f64 th 3) -1/6 (neg.f64 th))) (/.f64 (*.f64 th th) (fma.f64 (pow.f64 th 3) -1/6 (neg.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 th 3) -1/6 th) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 th 3) -1/6 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 th 3) -1/6 th)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 th 3) -1/6 th)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 th 3) -1/6 th)) 2) (cbrt.f64 (fma.f64 (pow.f64 th 3) -1/6 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 th 3) -1/6 th)) (sqrt.f64 (fma.f64 (pow.f64 th 3) -1/6 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 th 3) (pow.f64 (*.f64 (cbrt.f64 -1/6) th) 9)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cbrt.f64 -1/6) th) 6) (*.f64 th (-.f64 th (*.f64 (pow.f64 th 3) -1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (cbrt.f64 -1/6) th) 6) (*.f64 th th)) (/.f64 1 (fma.f64 (pow.f64 th 3) -1/6 (neg.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (cbrt.f64 -1/6) th) 6) (*.f64 th (-.f64 th (*.f64 (pow.f64 th 3) -1/6)))) (+.f64 (pow.f64 th 3) (pow.f64 (*.f64 (cbrt.f64 -1/6) th) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (pow.f64 th 3) -1/6 (neg.f64 th)) (-.f64 (pow.f64 (*.f64 (cbrt.f64 -1/6) th) 6) (*.f64 th th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 th 3) (pow.f64 (*.f64 (cbrt.f64 -1/6) th) 9)) (+.f64 (pow.f64 (*.f64 (cbrt.f64 -1/6) th) 6) (*.f64 th (-.f64 th (*.f64 (pow.f64 th 3) -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 th 3) (pow.f64 (*.f64 (cbrt.f64 -1/6) th) 9)) (+.f64 (*.f64 th th) (-.f64 (pow.f64 (*.f64 (cbrt.f64 -1/6) th) 6) (*.f64 (pow.f64 th 3) (*.f64 -1/6 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (cbrt.f64 -1/6) th) 6) (*.f64 th th)) (fma.f64 (pow.f64 th 3) -1/6 (neg.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 th 3) (pow.f64 (*.f64 (cbrt.f64 -1/6) th) 9))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cbrt.f64 -1/6) th) 6) (*.f64 th (-.f64 th (*.f64 (pow.f64 th 3) -1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cbrt.f64 -1/6) th) 6) (*.f64 th th))) (neg.f64 (fma.f64 (pow.f64 th 3) -1/6 (neg.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 th th) (pow.f64 (*.f64 (cbrt.f64 -1/6) th) 6)) (-.f64 th (*.f64 (pow.f64 th 3) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 th 3) -1/6 th) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 th 3) -1/6 th) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 th 3) -1/6 th)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 th 3) -1/6 th)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 th 3) -1/6 th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 th 3) -1/6 th)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 th 3) -1/6 th) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 th 3) -1/6 th)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 th 3) -1/6 th)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (pow.f64 th 3) -1/6 th)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 -1/6) th) (*.f64 (cbrt.f64 1/36) (*.f64 th th)) th)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 th (*.f64 (pow.f64 th 3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (pow.f64 th 3) -1/6) th)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 1/36) (*.f64 th th)) (*.f64 (cbrt.f64 -1/6) th) th)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 th) 2) (cbrt.f64 th) (*.f64 (pow.f64 th 3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 th) (sqrt.f64 th) (*.f64 (pow.f64 th 3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 th 3) -1/6 th)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (cbrt.f64 -1/6) th) 3/2) (pow.f64 (*.f64 (cbrt.f64 -1/6) th) 3/2) th)))))

simplify176.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1274×sqr-pow_binary64
666×pow-sqr_binary64
531×cube-prod_binary64
476×fabs-mul_binary64
445×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09243
121243
239243
378243
4146243
5372243
61297243
72009243
82096243
92229243
102387243
112628243
122950243
133371243
143871243
154473243
165197243
175520243
185806243
196030243
206210243
216292243
227232243
Stop Event
1×node limit
Counts
122 → 91
Calls
Call 1
Inputs
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 (cbrt.f64 -1/6) th)
(*.f64 (cbrt.f64 -1/6) th)
(*.f64 (cbrt.f64 -1/6) th)
(*.f64 (cbrt.f64 -1/6) th)
(*.f64 (cbrt.f64 -1/6) th)
(*.f64 (cbrt.f64 -1/6) th)
(*.f64 (cbrt.f64 -1/6) th)
(*.f64 (cbrt.f64 -1/6) th)
(*.f64 (cbrt.f64 -1/6) th)
(*.f64 (cbrt.f64 -1/6) th)
(*.f64 (cbrt.f64 -1/6) th)
(*.f64 (cbrt.f64 -1/6) th)
th
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(*.f64 -1/6 (pow.f64 th 3))
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(*.f64 -1/6 (pow.f64 th 3))
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
Outputs
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 (cbrt.f64 -1/6) th)
(*.f64 th (cbrt.f64 -1/6))
(*.f64 (cbrt.f64 -1/6) th)
(*.f64 th (cbrt.f64 -1/6))
(*.f64 (cbrt.f64 -1/6) th)
(*.f64 th (cbrt.f64 -1/6))
(*.f64 (cbrt.f64 -1/6) th)
(*.f64 th (cbrt.f64 -1/6))
(*.f64 (cbrt.f64 -1/6) th)
(*.f64 th (cbrt.f64 -1/6))
(*.f64 (cbrt.f64 -1/6) th)
(*.f64 th (cbrt.f64 -1/6))
(*.f64 (cbrt.f64 -1/6) th)
(*.f64 th (cbrt.f64 -1/6))
(*.f64 (cbrt.f64 -1/6) th)
(*.f64 th (cbrt.f64 -1/6))
(*.f64 (cbrt.f64 -1/6) th)
(*.f64 th (cbrt.f64 -1/6))
(*.f64 (cbrt.f64 -1/6) th)
(*.f64 th (cbrt.f64 -1/6))
(*.f64 (cbrt.f64 -1/6) th)
(*.f64 th (cbrt.f64 -1/6))
(*.f64 (cbrt.f64 -1/6) th)
(*.f64 th (cbrt.f64 -1/6))
th
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(fma.f64 -1/6 (pow.f64 th 3) th)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(fma.f64 -1/6 (pow.f64 th 3) th)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(fma.f64 -1/6 (pow.f64 th 3) th)
(*.f64 -1/6 (pow.f64 th 3))
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(fma.f64 -1/6 (pow.f64 th 3) th)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(fma.f64 -1/6 (pow.f64 th 3) th)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(fma.f64 -1/6 (pow.f64 th 3) th)
(*.f64 -1/6 (pow.f64 th 3))
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(fma.f64 -1/6 (pow.f64 th 3) th)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(fma.f64 -1/6 (pow.f64 th 3) th)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(fma.f64 -1/6 (pow.f64 th 3) th)

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 kx)
0.2b
(*.f64 (sin.f64 ky) (sin.f64 th))
✓0.4b
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
✓1.9b
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
Compiler

Compiled 36 to 11 computations (69.4% saved)

series12.0ms (0%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
th
@0
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
1.0ms
kx
@0
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
1.0ms
kx
@0
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
1.0ms
ky
@0
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
1.0ms
th
@0
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))

rewrite75.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
595×log-prod_binary64
337×pow-prod-down_binary64
322×prod-diff_binary64
305×pow2_binary64
214×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01129
123026
2312926
Stop Event
1×node limit
Counts
2 → 107
Calls
Call 1
Inputs
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 kx) (/.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 1 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))) 1))))))

simplify78.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
856×fma-def_binary64
557×associate-*r*_binary64
556×associate-*l*_binary64
312×*-commutative_binary64
237×distribute-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01381584
14621536
216031470
370351470
Stop Event
1×node limit
Counts
179 → 158
Calls
Call 1
Inputs
(/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky)))
(+.f64 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))) (*.f64 -1/6 (/.f64 (pow.f64 kx 3) (*.f64 (sin.f64 th) (sin.f64 ky)))))
(+.f64 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 kx 5) (*.f64 (sin.f64 th) (sin.f64 ky)))) (*.f64 -1/6 (/.f64 (pow.f64 kx 3) (*.f64 (sin.f64 th) (sin.f64 ky))))))
(+.f64 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 kx 7) (*.f64 (sin.f64 th) (sin.f64 ky)))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 kx 5) (*.f64 (sin.f64 th) (sin.f64 ky)))) (*.f64 -1/6 (/.f64 (pow.f64 kx 3) (*.f64 (sin.f64 th) (sin.f64 ky)))))))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 kx) ky) (sin.f64 th))) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 kx) ky) (sin.f64 th))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (/.f64 (sin.f64 kx) (sin.f64 th))) (*.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 th)))) (pow.f64 ky 3))) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 kx) ky) (sin.f64 th))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (/.f64 (sin.f64 kx) (sin.f64 th))) (*.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 th)))) (pow.f64 ky 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 -1/36 (/.f64 (sin.f64 kx) (sin.f64 th))) (*.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 th))))) (+.f64 (*.f64 -1/5040 (/.f64 (sin.f64 kx) (sin.f64 th))) (*.f64 1/720 (/.f64 (sin.f64 kx) (sin.f64 th))))) (pow.f64 ky 5))) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 kx) th) (sin.f64 ky))) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 kx) th) (sin.f64 ky))) (+.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (/.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 ky)))) (pow.f64 th 3)))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 kx) th) (sin.f64 ky))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/5040 (/.f64 (sin.f64 kx) (sin.f64 ky))) (+.f64 (*.f64 1/720 (/.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 1/6 (+.f64 (*.f64 -1/36 (/.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 ky))))))) (pow.f64 th 5))) (+.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (/.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 ky)))) (pow.f64 th 3))))))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(+.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx) (*.f64 1/6 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) kx))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (*.f64 (sin.f64 th) (sin.f64 ky))) (*.f64 1/120 (*.f64 (sin.f64 th) (sin.f64 ky)))) (pow.f64 kx 3))) (+.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx) (*.f64 1/6 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) kx)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (*.f64 (sin.f64 th) (sin.f64 ky))) (*.f64 1/120 (*.f64 (sin.f64 th) (sin.f64 ky)))) (pow.f64 kx 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 kx 5) (+.f64 (*.f64 1/720 (*.f64 (sin.f64 th) (sin.f64 ky))) (+.f64 (*.f64 -1/5040 (*.f64 (sin.f64 th) (sin.f64 ky))) (*.f64 1/6 (+.f64 (*.f64 -1/36 (*.f64 (sin.f64 th) (sin.f64 ky))) (*.f64 1/120 (*.f64 (sin.f64 th) (sin.f64 ky))))))))) (+.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx) (*.f64 1/6 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) kx))))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) (sin.f64 kx))))
(+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 5)) (sin.f64 kx))) (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) (sin.f64 kx)))))
(+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 7)) (sin.f64 kx))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 5)) (sin.f64 kx))) (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) (sin.f64 kx))))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) (sin.f64 kx))) (/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 5)) (sin.f64 kx))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) (sin.f64 kx))) (/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 5)) (sin.f64 kx))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) (sin.f64 kx))) (+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 7)) (sin.f64 kx))) (/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
Outputs
(/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (/.f64 kx (sin.f64 th)) (sin.f64 ky))
(+.f64 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))) (*.f64 -1/6 (/.f64 (pow.f64 kx 3) (*.f64 (sin.f64 th) (sin.f64 ky)))))
(+.f64 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))) (*.f64 -1/6 (/.f64 (/.f64 (pow.f64 kx 3) (sin.f64 th)) (sin.f64 ky))))
(fma.f64 -1/6 (/.f64 (pow.f64 kx 3) (*.f64 (sin.f64 th) (sin.f64 ky))) (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(fma.f64 -1/6 (/.f64 (pow.f64 kx 3) (*.f64 (sin.f64 th) (sin.f64 ky))) (/.f64 (/.f64 kx (sin.f64 th)) (sin.f64 ky)))
(+.f64 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 kx 5) (*.f64 (sin.f64 th) (sin.f64 ky)))) (*.f64 -1/6 (/.f64 (pow.f64 kx 3) (*.f64 (sin.f64 th) (sin.f64 ky))))))
(+.f64 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))) (fma.f64 1/120 (/.f64 (pow.f64 kx 5) (*.f64 (sin.f64 th) (sin.f64 ky))) (*.f64 -1/6 (/.f64 (/.f64 (pow.f64 kx 3) (sin.f64 th)) (sin.f64 ky)))))
(+.f64 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))) (fma.f64 -1/6 (/.f64 (pow.f64 kx 3) (*.f64 (sin.f64 th) (sin.f64 ky))) (*.f64 1/120 (/.f64 (pow.f64 kx 5) (*.f64 (sin.f64 th) (sin.f64 ky))))))
(fma.f64 -1/6 (/.f64 (pow.f64 kx 3) (*.f64 (sin.f64 th) (sin.f64 ky))) (fma.f64 1/120 (/.f64 (pow.f64 kx 5) (*.f64 (sin.f64 th) (sin.f64 ky))) (/.f64 (/.f64 kx (sin.f64 th)) (sin.f64 ky))))
(+.f64 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 kx 7) (*.f64 (sin.f64 th) (sin.f64 ky)))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 kx 5) (*.f64 (sin.f64 th) (sin.f64 ky)))) (*.f64 -1/6 (/.f64 (pow.f64 kx 3) (*.f64 (sin.f64 th) (sin.f64 ky)))))))
(+.f64 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))) (fma.f64 -1/5040 (/.f64 (pow.f64 kx 7) (*.f64 (sin.f64 th) (sin.f64 ky))) (fma.f64 1/120 (/.f64 (pow.f64 kx 5) (*.f64 (sin.f64 th) (sin.f64 ky))) (*.f64 -1/6 (/.f64 (/.f64 (pow.f64 kx 3) (sin.f64 th)) (sin.f64 ky))))))
(+.f64 (fma.f64 -1/5040 (/.f64 (/.f64 (pow.f64 kx 7) (sin.f64 th)) (sin.f64 ky)) (*.f64 1/120 (/.f64 (pow.f64 kx 5) (*.f64 (sin.f64 th) (sin.f64 ky))))) (fma.f64 -1/6 (/.f64 (pow.f64 kx 3) (*.f64 (sin.f64 th) (sin.f64 ky))) (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky)))))
(fma.f64 -1/5040 (/.f64 (/.f64 (pow.f64 kx 7) (sin.f64 th)) (sin.f64 ky)) (fma.f64 -1/6 (/.f64 (pow.f64 kx 3) (*.f64 (sin.f64 th) (sin.f64 ky))) (fma.f64 1/120 (/.f64 (pow.f64 kx 5) (*.f64 (sin.f64 th) (sin.f64 ky))) (/.f64 (/.f64 kx (sin.f64 th)) (sin.f64 ky)))))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 kx) ky) (sin.f64 th))) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(fma.f64 1/6 (/.f64 (sin.f64 kx) (/.f64 (sin.f64 th) ky)) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(fma.f64 1/6 (*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) ky) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(fma.f64 1/6 (*.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 kx) ky) (sin.f64 th))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (/.f64 (sin.f64 kx) (sin.f64 th))) (*.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 th)))) (pow.f64 ky 3))) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))))
(fma.f64 1/6 (/.f64 (sin.f64 kx) (/.f64 (sin.f64 th) ky)) (fma.f64 -1 (*.f64 (*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) -7/360) (pow.f64 ky 3)) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))))
(fma.f64 1/6 (*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) ky) (-.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)) (*.f64 (*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) -7/360) (pow.f64 ky 3))))
(fma.f64 (pow.f64 ky 3) (*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) 7/360) (fma.f64 1/6 (*.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 kx) ky) (sin.f64 th))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (/.f64 (sin.f64 kx) (sin.f64 th))) (*.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 th)))) (pow.f64 ky 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 -1/36 (/.f64 (sin.f64 kx) (sin.f64 th))) (*.f64 1/120 (/.f64 (sin.f64 kx) (sin.f64 th))))) (+.f64 (*.f64 -1/5040 (/.f64 (sin.f64 kx) (sin.f64 th))) (*.f64 1/720 (/.f64 (sin.f64 kx) (sin.f64 th))))) (pow.f64 ky 5))) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))))
(fma.f64 1/6 (/.f64 (sin.f64 kx) (/.f64 (sin.f64 th) ky)) (fma.f64 -1 (*.f64 (*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) -7/360) (pow.f64 ky 3)) (fma.f64 -1 (*.f64 (fma.f64 1/6 (*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) -7/360) (*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) 1/840)) (pow.f64 ky 5)) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))))
(fma.f64 1/6 (*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) ky) (-.f64 (-.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)) (*.f64 (fma.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) 1/840 (*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) -7/2160)) (pow.f64 ky 5))) (*.f64 (*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) -7/360) (pow.f64 ky 3))))
(fma.f64 (pow.f64 ky 3) (*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) 7/360) (fma.f64 1/6 (*.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))) (-.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)) (*.f64 (*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) -31/15120) (pow.f64 ky 5)))))
(-.f64 (fma.f64 1/6 (*.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky))) (fma.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (*.f64 (pow.f64 ky 3) -7/360) (*.f64 (*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) -31/15120) (pow.f64 ky 5))))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th))
(/.f64 (sin.f64 kx) (*.f64 th (sin.f64 ky)))
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(fma.f64 1/6 (/.f64 (sin.f64 kx) (/.f64 (sin.f64 ky) th)) (/.f64 (sin.f64 kx) (*.f64 th (sin.f64 ky))))
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(fma.f64 1/6 (*.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 (sin.f64 kx) (*.f64 th (sin.f64 ky))))
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(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky))
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(/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky))
(/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky))
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(/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky))
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(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
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(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
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(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
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(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
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(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
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(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
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(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
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(fma.f64 1/120 (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (pow.f64 th 5)) (fma.f64 -1/6 (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (pow.f64 th 3)) (/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))))
(fma.f64 -1/6 (/.f64 (pow.f64 th 3) (/.f64 (sin.f64 kx) (sin.f64 ky))) (fma.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th (*.f64 (/.f64 1/120 (sin.f64 kx)) (*.f64 (sin.f64 ky) (pow.f64 th 5)))))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 5)) (sin.f64 kx))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) (sin.f64 kx))) (+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 7)) (sin.f64 kx))) (/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)))))
(fma.f64 1/120 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (pow.f64 th 5))) (fma.f64 -1/6 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (pow.f64 th 3))) (fma.f64 -1/5040 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (pow.f64 th 7))) (/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx)))))
(fma.f64 1/120 (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (pow.f64 th 5)) (fma.f64 -1/6 (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (pow.f64 th 3)) (fma.f64 -1/5040 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (pow.f64 th 7))) (/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky))))))
(fma.f64 -1/6 (/.f64 (pow.f64 th 3) (/.f64 (sin.f64 kx) (sin.f64 ky))) (fma.f64 1/120 (*.f64 (pow.f64 th 5) (/.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 -1/5040 (*.f64 (/.f64 (pow.f64 th 7) (sin.f64 kx)) (sin.f64 ky)) (/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky))))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓0.1b
(*.f64 (sin.f64 ky) th)
✓0.4b
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
✓1.9b
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))
Compiler

Compiled 42 to 11 computations (73.8% saved)

series50.0ms (0.1%)

Counts
3 → 76
Calls

24 calls:

TimeVariablePointExpression
18.0ms
ky
@-inf
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))
14.0ms
kx
@-inf
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))
2.0ms
ky
@0
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
1.0ms
ky
@0
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))
1.0ms
kx
@0
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))

rewrite75.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
575×log-prod_binary64
325×pow-prod-down_binary64
289×pow2_binary64
203×pow1/3_binary64
202×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01141
122538
2291538
Stop Event
1×node limit
Counts
3 → 143
Calls
Call 1
Inputs
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
(*.f64 (sin.f64 ky) th)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (*.f64 (sin.f64 ky) th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)) 2)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2)) (*.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 1 (*.f64 (sin.f64 ky) th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 1 (*.f64 (sin.f64 ky) th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 1 (*.f64 (sin.f64 ky) (neg.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (/.f64 1 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2)) (sin.f64 ky)) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2)) th) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2)) 1) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sin.f64 ky) th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sin.f64 ky) th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) th)) -2) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (cbrt.f64 (*.f64 (sin.f64 ky) th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) th)) 2)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) th)) 2)) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (cbrt.f64 (*.f64 (sin.f64 ky) th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 ky) th) -1/2) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sqrt.f64 (*.f64 (sin.f64 ky) th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2)) (sqrt.f64 (*.f64 (sin.f64 ky) th))) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (*.f64 (sin.f64 ky) th))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3) (pow.f64 (*.f64 (sin.f64 ky) th) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (neg.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3) (pow.f64 (*.f64 (sin.f64 ky) th) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 ky) th) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 ky) th))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 ky)) th)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 ky)) th))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 ky)) th))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 ky)) th))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (*.f64 (sin.f64 ky) th)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 ky) th) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 ky) th) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 ky) th) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) th)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) th)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (sin.f64 ky) th)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 ky)) th))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 ky) th))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) th) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) th)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) th)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 ky) th)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 ky) th)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 ky) th))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sin.f64 ky) th))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 ky) th))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 ky) th))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 ky) th)) 1) 1))))))

simplify113.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
745×fma-def_binary64
528×associate-*r*_binary64
524×times-frac_binary64
498×associate-*l*_binary64
472×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01812887
15792553
220652467
Stop Event
1×node limit
Counts
219 → 184
Calls
Call 1
Inputs
(/.f64 (sin.f64 kx) (*.f64 ky th))
(+.f64 (/.f64 (sin.f64 kx) (*.f64 th ky)) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) th))) (*.f64 -1/6 (/.f64 (sin.f64 kx) th))) ky))
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (*.f64 (sin.f64 kx) th))) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) th))) (*.f64 -1/6 (/.f64 (sin.f64 kx) th)))) (*.f64 1/120 (/.f64 (sin.f64 kx) th)))) (pow.f64 ky 3)) (+.f64 (/.f64 (sin.f64 kx) (*.f64 th ky)) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) th))) (*.f64 -1/6 (/.f64 (sin.f64 kx) th))) ky)))
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (*.f64 (sin.f64 kx) th))) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) th))) (*.f64 -1/6 (/.f64 (sin.f64 kx) th)))) (*.f64 1/120 (/.f64 (sin.f64 kx) th)))) (pow.f64 ky 3)) (+.f64 (/.f64 (sin.f64 kx) (*.f64 th ky)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) th))) (*.f64 -1/6 (/.f64 (sin.f64 kx) th))) ky) (*.f64 (-.f64 (*.f64 1/2 (/.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 kx) th))) (+.f64 (*.f64 -1/5040 (/.f64 (sin.f64 kx) th)) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (*.f64 (sin.f64 kx) th))) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) th))) (*.f64 -1/6 (/.f64 (sin.f64 kx) th)))) (*.f64 1/120 (/.f64 (sin.f64 kx) th))))) (*.f64 1/120 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) th))) (*.f64 -1/6 (/.f64 (sin.f64 kx) th))))))) (pow.f64 ky 5)))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th)))
(/.f64 1 th)
(+.f64 (/.f64 1 th) (*.f64 1/2 (/.f64 (pow.f64 kx 2) (*.f64 (pow.f64 (sin.f64 ky) 2) th))))
(+.f64 (/.f64 1 th) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (*.f64 (pow.f64 (sin.f64 ky) 2) th))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 kx 4)) (*.f64 (pow.f64 (sin.f64 ky) 2) th)))))
(+.f64 (/.f64 1 th) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (*.f64 (pow.f64 (sin.f64 ky) 2) th))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 6)) (*.f64 (pow.f64 (sin.f64 ky) 2) th))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 kx 4)) (*.f64 (pow.f64 (sin.f64 ky) 2) th))))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th)))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 th (sin.f64 kx))) (*.f64 1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)) (/.f64 (*.f64 th ky) (sin.f64 kx)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 th (sin.f64 kx))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 th (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 th (sin.f64 kx))) (*.f64 1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 ky 5)) (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 th (sin.f64 kx))) (*.f64 1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)) (/.f64 (*.f64 th ky) (sin.f64 kx))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 th (sin.f64 kx))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 th (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 th (sin.f64 kx))) (*.f64 1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 ky 5)) (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 th (sin.f64 kx))) (*.f64 1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 th (sin.f64 kx))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 th (sin.f64 kx))) (*.f64 1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 2))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/120 (/.f64 th (sin.f64 kx))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) th) (pow.f64 (sin.f64 kx) 3))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 th (sin.f64 kx))) (*.f64 1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 (sin.f64 kx) 2))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) th) (pow.f64 (sin.f64 kx) 3)))))) (pow.f64 ky 7)) (/.f64 (*.f64 th ky) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
th
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 th (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) th)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 kx 4) (+.f64 (*.f64 -1/4 (/.f64 th (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 th (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 th (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) th))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) th) (pow.f64 (sin.f64 ky) 2))) (*.f64 -1/4 (/.f64 th (pow.f64 (sin.f64 ky) 4)))) (pow.f64 (sin.f64 ky) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2)))) th) (pow.f64 (sin.f64 ky) 2))) (*.f64 1/4 (/.f64 (*.f64 th (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 4))))) (pow.f64 kx 6))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 kx 4) (+.f64 (*.f64 -1/4 (/.f64 th (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 th (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 th (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) th)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 th ky)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 ky 3) th)) (*.f64 th ky))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 ky 3) th)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 ky 5) th)) (*.f64 th ky)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 ky 3) th)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 ky 7) th)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 ky 5) th)) (*.f64 th ky))))
Outputs
(/.f64 (sin.f64 kx) (*.f64 ky th))
(+.f64 (/.f64 (sin.f64 kx) (*.f64 th ky)) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) th))) (*.f64 -1/6 (/.f64 (sin.f64 kx) th))) ky))
(+.f64 (/.f64 (sin.f64 kx) (*.f64 ky th)) (*.f64 ky (+.f64 (/.f64 1/2 (*.f64 (sin.f64 kx) th)) (*.f64 1/6 (/.f64 (sin.f64 kx) th)))))
(fma.f64 ky (+.f64 (/.f64 (/.f64 1/2 th) (sin.f64 kx)) (*.f64 (/.f64 (sin.f64 kx) th) 1/6)) (/.f64 (sin.f64 kx) (*.f64 ky th)))
(fma.f64 ky (fma.f64 (/.f64 (sin.f64 kx) th) 1/6 (/.f64 (/.f64 1/2 (sin.f64 kx)) th)) (/.f64 (sin.f64 kx) (*.f64 ky th)))
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (*.f64 (sin.f64 kx) th))) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) th))) (*.f64 -1/6 (/.f64 (sin.f64 kx) th)))) (*.f64 1/120 (/.f64 (sin.f64 kx) th)))) (pow.f64 ky 3)) (+.f64 (/.f64 (sin.f64 kx) (*.f64 th ky)) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) th))) (*.f64 -1/6 (/.f64 (sin.f64 kx) th))) ky)))
(fma.f64 (-.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (*.f64 (sin.f64 kx) th))) (fma.f64 -1/6 (+.f64 (/.f64 1/2 (*.f64 (sin.f64 kx) th)) (*.f64 1/6 (/.f64 (sin.f64 kx) th))) (/.f64 (*.f64 1/120 (sin.f64 kx)) th))) (pow.f64 ky 3) (+.f64 (/.f64 (sin.f64 kx) (*.f64 ky th)) (*.f64 ky (+.f64 (/.f64 1/2 (*.f64 (sin.f64 kx) th)) (*.f64 1/6 (/.f64 (sin.f64 kx) th))))))
(fma.f64 (-.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (*.f64 (sin.f64 kx) th))) (fma.f64 -1/6 (+.f64 (/.f64 (/.f64 1/2 th) (sin.f64 kx)) (*.f64 (/.f64 (sin.f64 kx) th) 1/6)) (/.f64 (*.f64 (sin.f64 kx) 1/120) th))) (pow.f64 ky 3) (fma.f64 ky (+.f64 (/.f64 (/.f64 1/2 th) (sin.f64 kx)) (*.f64 (/.f64 (sin.f64 kx) th) 1/6)) (/.f64 (sin.f64 kx) (*.f64 ky th))))
(fma.f64 (-.f64 (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6) (*.f64 (sin.f64 kx) th)) (fma.f64 (/.f64 (sin.f64 kx) th) 1/120 (+.f64 (*.f64 (/.f64 (sin.f64 kx) th) -1/36) (/.f64 -1/12 (*.f64 (sin.f64 kx) th))))) (pow.f64 ky 3) (fma.f64 ky (fma.f64 (/.f64 (sin.f64 kx) th) 1/6 (/.f64 (/.f64 1/2 (sin.f64 kx)) th)) (/.f64 (sin.f64 kx) (*.f64 ky th))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (*.f64 (sin.f64 kx) th))) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) th))) (*.f64 -1/6 (/.f64 (sin.f64 kx) th)))) (*.f64 1/120 (/.f64 (sin.f64 kx) th)))) (pow.f64 ky 3)) (+.f64 (/.f64 (sin.f64 kx) (*.f64 th ky)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) th))) (*.f64 -1/6 (/.f64 (sin.f64 kx) th))) ky) (*.f64 (-.f64 (*.f64 1/2 (/.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 kx) th))) (+.f64 (*.f64 -1/5040 (/.f64 (sin.f64 kx) th)) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (*.f64 (sin.f64 kx) th))) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) th))) (*.f64 -1/6 (/.f64 (sin.f64 kx) th)))) (*.f64 1/120 (/.f64 (sin.f64 kx) th))))) (*.f64 1/120 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) th))) (*.f64 -1/6 (/.f64 (sin.f64 kx) th))))))) (pow.f64 ky 5)))))
(fma.f64 (-.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (*.f64 (sin.f64 kx) th))) (fma.f64 -1/6 (+.f64 (/.f64 1/2 (*.f64 (sin.f64 kx) th)) (*.f64 1/6 (/.f64 (sin.f64 kx) th))) (/.f64 (*.f64 1/120 (sin.f64 kx)) th))) (pow.f64 ky 3) (+.f64 (/.f64 (sin.f64 kx) (*.f64 ky th)) (fma.f64 (+.f64 (/.f64 1/2 (*.f64 (sin.f64 kx) th)) (*.f64 1/6 (/.f64 (sin.f64 kx) th))) ky (*.f64 (-.f64 (*.f64 1/2 (/.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 kx) th))) (fma.f64 -1/5040 (/.f64 (sin.f64 kx) th) (fma.f64 -1/6 (-.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (*.f64 (sin.f64 kx) th))) (fma.f64 -1/6 (+.f64 (/.f64 1/2 (*.f64 (sin.f64 kx) th)) (*.f64 1/6 (/.f64 (sin.f64 kx) th))) (/.f64 (*.f64 1/120 (sin.f64 kx)) th))) (*.f64 (+.f64 (/.f64 1/2 (*.f64 (sin.f64 kx) th)) (*.f64 1/6 (/.f64 (sin.f64 kx) th))) 1/120)))) (pow.f64 ky 5)))))
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(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (*.f64 th (sin.f64 ky))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th (sin.f64 ky)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 (*.f64 (sin.f64 ky) th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) (/.f64 1 (*.f64 th (sin.f64 ky))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th (sin.f64 ky)))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 th (sin.f64 kx))) (*.f64 1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)) (/.f64 (*.f64 th ky) (sin.f64 kx)))
(fma.f64 (+.f64 (*.f64 -1/6 (/.f64 th (sin.f64 kx))) (*.f64 -1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3) (/.f64 ky (/.f64 (sin.f64 kx) th)))
(fma.f64 (pow.f64 ky 3) (fma.f64 -1/6 (/.f64 th (sin.f64 kx)) (*.f64 -1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (*.f64 (/.f64 th (sin.f64 kx)) ky))
(fma.f64 (pow.f64 ky 3) (*.f64 (/.f64 th (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (*.f64 (/.f64 th (sin.f64 kx)) ky))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 th (sin.f64 kx))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 th (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 th (sin.f64 kx))) (*.f64 1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 ky 5)) (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 th (sin.f64 kx))) (*.f64 1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)) (/.f64 (*.f64 th ky) (sin.f64 kx))))
(fma.f64 (-.f64 (*.f64 1/120 (/.f64 th (sin.f64 kx))) (fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (/.f64 (pow.f64 (sin.f64 kx) 3) th)) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/6 (/.f64 th (sin.f64 kx))) (*.f64 -1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 ky 5) (fma.f64 (+.f64 (*.f64 -1/6 (/.f64 th (sin.f64 kx))) (*.f64 -1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3) (/.f64 ky (/.f64 (sin.f64 kx) th))))
(fma.f64 (pow.f64 ky 5) (-.f64 (*.f64 1/120 (/.f64 th (sin.f64 kx))) (fma.f64 1/2 (/.f64 (fma.f64 -1/6 (/.f64 th (sin.f64 kx)) (*.f64 -1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2)) (*.f64 -1/2 (*.f64 (/.f64 th (pow.f64 (sin.f64 kx) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))) (fma.f64 (pow.f64 ky 3) (fma.f64 -1/6 (/.f64 th (sin.f64 kx)) (*.f64 -1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
(fma.f64 (pow.f64 ky 5) (-.f64 (*.f64 (/.f64 1/120 (sin.f64 kx)) th) (fma.f64 1/2 (/.f64 (*.f64 (/.f64 th (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 (sin.f64 kx) 2)) (*.f64 (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6) (pow.f64 (sin.f64 kx) 3)) th))) (fma.f64 (pow.f64 ky 3) (*.f64 (/.f64 th (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 th (sin.f64 kx))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 th (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 3))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 th (sin.f64 kx))) (*.f64 1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 ky 5)) (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 th (sin.f64 kx))) (*.f64 1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 th (sin.f64 kx))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 th (sin.f64 kx))) (*.f64 1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 2))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/120 (/.f64 th (sin.f64 kx))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) th) (pow.f64 (sin.f64 kx) 3))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 th (sin.f64 kx))) (*.f64 1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 (sin.f64 kx) 2))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) th) (pow.f64 (sin.f64 kx) 3)))))) (pow.f64 ky 7)) (/.f64 (*.f64 th ky) (sin.f64 kx)))))
(fma.f64 (-.f64 (*.f64 1/120 (/.f64 th (sin.f64 kx))) (fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (/.f64 (pow.f64 (sin.f64 kx) 3) th)) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/6 (/.f64 th (sin.f64 kx))) (*.f64 -1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 ky 5) (fma.f64 (+.f64 (*.f64 -1/6 (/.f64 th (sin.f64 kx))) (*.f64 -1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (pow.f64 ky 3) (fma.f64 (-.f64 (*.f64 -1/5040 (/.f64 th (sin.f64 kx))) (fma.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/6 (/.f64 th (sin.f64 kx))) (*.f64 -1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (/.f64 (pow.f64 (sin.f64 kx) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (*.f64 1/2 (+.f64 (/.f64 (-.f64 (*.f64 1/120 (/.f64 th (sin.f64 kx))) (fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (/.f64 (pow.f64 (sin.f64 kx) 3) th)) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/6 (/.f64 th (sin.f64 kx))) (*.f64 -1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 (sin.f64 kx) 2)) (/.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (pow.f64 (sin.f64 kx) 3) th)))))) (pow.f64 ky 7) (/.f64 ky (/.f64 (sin.f64 kx) th)))))
(fma.f64 (pow.f64 ky 5) (-.f64 (*.f64 1/120 (/.f64 th (sin.f64 kx))) (fma.f64 1/2 (/.f64 (fma.f64 -1/6 (/.f64 th (sin.f64 kx)) (*.f64 -1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2)) (*.f64 -1/2 (*.f64 (/.f64 th (pow.f64 (sin.f64 kx) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))) (fma.f64 (pow.f64 ky 3) (fma.f64 -1/6 (/.f64 th (sin.f64 kx)) (*.f64 -1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (fma.f64 (-.f64 (*.f64 -1/5040 (/.f64 th (sin.f64 kx))) (fma.f64 1/2 (+.f64 (/.f64 (-.f64 (*.f64 1/120 (/.f64 th (sin.f64 kx))) (fma.f64 1/2 (/.f64 (fma.f64 -1/6 (/.f64 th (sin.f64 kx)) (*.f64 -1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) (pow.f64 (sin.f64 kx) 2)) (*.f64 -1/2 (*.f64 (/.f64 th (pow.f64 (sin.f64 kx) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))) (pow.f64 (sin.f64 kx) 2)) (*.f64 (/.f64 (+.f64 2/45 (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (pow.f64 (sin.f64 kx) 3)) th)) (/.f64 (*.f64 (fma.f64 -1/6 (/.f64 th (sin.f64 kx)) (*.f64 -1/2 (/.f64 th (pow.f64 (sin.f64 kx) 3)))) -1/2) (/.f64 (pow.f64 (sin.f64 kx) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))))) (pow.f64 ky 7) (*.f64 (/.f64 th (sin.f64 kx)) ky))))
(fma.f64 (pow.f64 ky 5) (-.f64 (*.f64 (/.f64 1/120 (sin.f64 kx)) th) (fma.f64 1/2 (/.f64 (*.f64 (/.f64 th (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 (sin.f64 kx) 2)) (*.f64 (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6) (pow.f64 (sin.f64 kx) 3)) th))) (fma.f64 (/.f64 th (sin.f64 kx)) ky (fma.f64 (-.f64 (/.f64 (*.f64 th -1/5040) (sin.f64 kx)) (fma.f64 1/2 (fma.f64 (/.f64 (-.f64 2/45 (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6) (pow.f64 (sin.f64 kx) 2))) (pow.f64 (sin.f64 kx) 3)) th (/.f64 (-.f64 (*.f64 (/.f64 1/120 (sin.f64 kx)) th) (fma.f64 1/2 (/.f64 (*.f64 (/.f64 th (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 (sin.f64 kx) 2)) (*.f64 (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6) (pow.f64 (sin.f64 kx) 3)) th))) (pow.f64 (sin.f64 kx) 2))) (*.f64 (/.f64 (*.f64 (/.f64 th (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (pow.f64 (sin.f64 kx) 2)) (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6)))) (pow.f64 ky 7) (*.f64 (pow.f64 ky 3) (*.f64 (/.f64 th (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2))))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
th
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 th (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) th)
(fma.f64 -1/2 (/.f64 (*.f64 th (*.f64 kx kx)) (pow.f64 (sin.f64 ky) 2)) th)
(fma.f64 -1/2 (*.f64 (/.f64 th (pow.f64 (sin.f64 ky) 2)) (*.f64 kx kx)) th)
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) th) th)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 kx 4) (+.f64 (*.f64 -1/4 (/.f64 th (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 th (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 th (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) th))
(fma.f64 -1 (*.f64 (pow.f64 kx 4) (fma.f64 -1/2 (/.f64 th (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))) (*.f64 -1/4 (/.f64 th (pow.f64 (sin.f64 ky) 4))))) (fma.f64 -1/2 (/.f64 (*.f64 th (*.f64 kx kx)) (pow.f64 (sin.f64 ky) 2)) th))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 th (pow.f64 (sin.f64 ky) 2)) (*.f64 kx kx)) th) (*.f64 (pow.f64 kx 4) (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)) th) (/.f64 (*.f64 th -1/4) (pow.f64 (sin.f64 ky) 4)))))
(-.f64 (fma.f64 -1/2 (*.f64 (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) th) th) (*.f64 (pow.f64 kx 4) (fma.f64 -1/4 (/.f64 th (pow.f64 (sin.f64 ky) 4)) (*.f64 (/.f64 (fma.f64 -1/2 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)) -1/6) (pow.f64 (sin.f64 ky) 2)) th))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) th) (pow.f64 (sin.f64 ky) 2))) (*.f64 -1/4 (/.f64 th (pow.f64 (sin.f64 ky) 4)))) (pow.f64 (sin.f64 ky) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2)))) th) (pow.f64 (sin.f64 ky) 2))) (*.f64 1/4 (/.f64 (*.f64 th (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 4))))) (pow.f64 kx 6))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 kx 4) (+.f64 (*.f64 -1/4 (/.f64 th (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 th (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 th (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) th)))
(fma.f64 -1 (*.f64 (pow.f64 kx 6) (fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))) (*.f64 -1/4 (/.f64 th (pow.f64 (sin.f64 ky) 4)))) (pow.f64 (sin.f64 ky) 2)) (fma.f64 1/2 (/.f64 (+.f64 2/45 (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)))) (/.f64 (pow.f64 (sin.f64 ky) 2) th)) (*.f64 1/4 (/.f64 th (/.f64 (pow.f64 (sin.f64 ky) 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))))))) (fma.f64 -1 (*.f64 (pow.f64 kx 4) (fma.f64 -1/2 (/.f64 th (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))) (*.f64 -1/4 (/.f64 th (pow.f64 (sin.f64 ky) 4))))) (fma.f64 -1/2 (/.f64 (*.f64 th (*.f64 kx kx)) (pow.f64 (sin.f64 ky) 2)) th)))
(-.f64 (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 th (pow.f64 (sin.f64 ky) 2)) (*.f64 kx kx)) th) (*.f64 (pow.f64 kx 4) (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)) th) (/.f64 (*.f64 th -1/4) (pow.f64 (sin.f64 ky) 4))))) (*.f64 (pow.f64 kx 6) (fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)) th) (/.f64 (*.f64 th -1/4) (pow.f64 (sin.f64 ky) 4))) (pow.f64 (sin.f64 ky) 2)) (fma.f64 1/2 (*.f64 (/.f64 (+.f64 2/45 (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 (sin.f64 ky) 2)) th) (*.f64 1/4 (*.f64 (/.f64 th (pow.f64 (sin.f64 ky) 4)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))))))))
(-.f64 (fma.f64 -1/2 (*.f64 (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) th) th) (fma.f64 (pow.f64 kx 6) (fma.f64 1/4 (*.f64 (/.f64 th (pow.f64 (sin.f64 ky) 4)) (+.f64 1/3 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)))) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 2/45 (pow.f64 (sin.f64 ky) 2)) (/.f64 (fma.f64 -1/2 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)) -1/6) (pow.f64 (sin.f64 ky) 4))) th) (/.f64 (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 -1/2 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)) -1/6) (pow.f64 (sin.f64 ky) 2)) th) (*.f64 (/.f64 th (pow.f64 (sin.f64 ky) 4)) 1/8)) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (pow.f64 kx 4) (fma.f64 -1/4 (/.f64 th (pow.f64 (sin.f64 ky) 4)) (*.f64 (/.f64 (fma.f64 -1/2 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)) -1/6) (pow.f64 (sin.f64 ky) 2)) th)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) 2))))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(*.f64 th ky)
(*.f64 ky th)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 ky 3) th)) (*.f64 th ky))
(fma.f64 -1/6 (*.f64 th (pow.f64 ky 3)) (*.f64 ky th))
(*.f64 th (+.f64 ky (*.f64 -1/6 (pow.f64 ky 3))))
(*.f64 th (fma.f64 -1/6 (pow.f64 ky 3) ky))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 ky 3) th)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 ky 5) th)) (*.f64 th ky)))
(fma.f64 -1/6 (*.f64 th (pow.f64 ky 3)) (fma.f64 1/120 (*.f64 th (pow.f64 ky 5)) (*.f64 ky th)))
(fma.f64 -1/6 (*.f64 th (pow.f64 ky 3)) (*.f64 th (+.f64 ky (*.f64 1/120 (pow.f64 ky 5)))))
(*.f64 th (+.f64 (fma.f64 -1/6 (pow.f64 ky 3) (*.f64 1/120 (pow.f64 ky 5))) ky))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 ky 3) th)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 ky 7) th)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 ky 5) th)) (*.f64 th ky))))
(fma.f64 -1/6 (*.f64 th (pow.f64 ky 3)) (fma.f64 -1/5040 (*.f64 th (pow.f64 ky 7)) (fma.f64 1/120 (*.f64 th (pow.f64 ky 5)) (*.f64 ky th))))
(fma.f64 -1/6 (*.f64 th (pow.f64 ky 3)) (fma.f64 -1/5040 (*.f64 th (pow.f64 ky 7)) (*.f64 th (+.f64 ky (*.f64 1/120 (pow.f64 ky 5))))))
(*.f64 th (+.f64 (fma.f64 1/120 (pow.f64 ky 5) ky) (fma.f64 -1/6 (pow.f64 ky 3) (*.f64 -1/5040 (pow.f64 ky 7)))))

eval268.0ms (0.6%)

Compiler

Compiled 16327 to 7168 computations (56.1% saved)

prune208.0ms (0.5%)

Pruning

84 alts after pruning (76 fresh and 8 done)

PrunedKeptTotal
New75740797
Fresh133649
Picked011
Done279
Total77284856
Error
0b
Counts
856 → 84
Alt Table
Click to see full alt table
StatusErrorProgram
49.6b
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
32.3b
(*.f64 (/.f64 (sin.f64 ky) 1) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
53.5b
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
0.3b
(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky))))
29.4b
(*.f64 (sin.f64 ky) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)) -1))
53.4b
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) th)))
51.4b
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
46.4b
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))
29.2b
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
57.3b
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) th) th)
46.3b
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)))
35.1b
(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
47.1b
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th))
55.0b
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
49.6b
(/.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 th)) (sin.f64 ky)))
52.1b
(log.f64 (exp.f64 (sin.f64 th)))
57.4b
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
52.1b
(-.f64 (+.f64 1 (sin.f64 th)) 1)
52.3b
(/.f64 1 (fma.f64 (/.f64 1/2 th) (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) (/.f64 1 th)))
57.9b
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th) (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th th))))
48.0b
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
46.4b
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
47.6b
(*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))))
✓0.2b
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
56.1b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (neg.f64 kx)))
34.3b
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3)
✓2.1b
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
55.4b
(/.f64 1 (/.f64 1 th))
35.3b
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) ky)))
57.8b
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (/.f64 (sin.f64 th) ky)))
43.9b
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 th))
57.2b
(log.f64 (exp.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))
✓0.3b
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
58.7b
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 th 3))) 1)
29.3b
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
46.2b
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
13.6b
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
49.8b
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
✓0.3b
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
57.4b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
46.2b
(*.f64 (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky))
✓0.3b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
0.4b
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 th))))
55.0b
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (*.f64 1/6 (*.f64 (sin.f64 ky) th))))
55.8b
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 th 3) -1/6 th) 2))
58.7b
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
46.2b
(*.f64 (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
✓58.7b
(*.f64 -1/6 (pow.f64 th 3))
46.3b
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th))))
46.2b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
2.0b
(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sin.f64 ky) (sin.f64 th)))
56.1b
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
53.6b
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)))
33.8b
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
31.9b
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
54.8b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky (/.f64 kx ky)) kx)))
48.0b
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
57.7b
(/.f64 1 (/.f64 (sin.f64 kx) (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) 2)))
46.2b
(*.f64 (/.f64 1 (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
46.9b
(*.f64 (/.f64 1 (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
55.6b
(/.f64 1 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
32.3b
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
58.7b
(sqrt.f64 (*.f64 (pow.f64 th 6) 1/36))
55.3b
(*.f64 (/.f64 ky kx) (sin.f64 th))
47.0b
(/.f64 1 (*.f64 (neg.f64 (sin.f64 kx)) (/.f64 1 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))))))
49.5b
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th ky)))
49.6b
(/.f64 1 (/.f64 1 (sin.f64 th)))
48.0b
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
55.9b
(/.f64 (*.f64 (sin.f64 th) ky) kx)
56.7b
(exp.f64 (log.f64 (sin.f64 th)))
54.1b
(*.f64 (/.f64 th (sin.f64 kx)) ky)
53.6b
(/.f64 1 (+.f64 (/.f64 (sin.f64 kx) (*.f64 th ky)) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) th))) (*.f64 -1/6 (/.f64 (sin.f64 kx) th))) ky)))
✓34.0b
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
55.6b
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
58.8b
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 th 3) 3) -1/216))
46.5b
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) -3)
✓49.6b
(sin.f64 th)
49.6b
(log1p.f64 (expm1.f64 (sin.f64 th)))
54.7b
(/.f64 (*.f64 ky th) (sin.f64 kx))
54.8b
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 ky th)))
46.4b
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))) 3)
52.8b
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
57.8b
(*.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 th) kx) (*.f64 kx (*.f64 (sin.f64 th) 1/6))))
55.4b
th
Compiler

Compiled 1082 to 789 computations (27.1% saved)

regimes1.2s (2.5%)

Counts
130 → 1
Calls
Call 1
Inputs
th
th
th
(/.f64 1 (/.f64 1 th))
(sin.f64 th)
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(/.f64 (*.f64 ky th) (sin.f64 kx))
(-.f64 (+.f64 1 (sin.f64 th)) 1)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 1 (/.f64 1 (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 ky th)))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 th 3))) 1)
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
(sqrt.f64 (*.f64 (pow.f64 th 6) 1/36))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (neg.f64 kx)))
(+.f64 (pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3) th)
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th) (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th th))))
(log.f64 (exp.f64 (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 th 3) 3) -1/216))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky))
(*.f64 (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 1 (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 th)) (sin.f64 ky)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th ky)))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th))))
(*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))))
(-.f64 (+.f64 1 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))) 1)
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) th) th)
(/.f64 1 (*.f64 (neg.f64 (sin.f64 kx)) (/.f64 1 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))))))
(*.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 th) kx) (*.f64 kx (*.f64 (sin.f64 th) 1/6))))
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (*.f64 1/6 (*.f64 (sin.f64 ky) th))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky (/.f64 kx ky)) kx)))
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (/.f64 (sin.f64 th) ky)))
(/.f64 1 (/.f64 (sin.f64 kx) (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) 2)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th))
(/.f64 1 (fma.f64 (/.f64 1/2 th) (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) (/.f64 1 th)))
(/.f64 1 (+.f64 (/.f64 (sin.f64 kx) (*.f64 th ky)) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) th))) (*.f64 -1/6 (/.f64 (sin.f64 kx) th))) ky)))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 th 3) -1/6 th) 2))
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 th 3) th) 2))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) 1) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th)))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))
(log.f64 (exp.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))
(*.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) -3)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))) 3)
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 th)) -1))
(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky))))
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 th))))
(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3)
(*.f64 (sin.f64 ky) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) -1))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (/.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))) 3)
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2))) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
Calls

11 calls:

123.0ms
(sin.f64 ky)
118.0ms
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
117.0ms
th
116.0ms
(sin.f64 kx)
113.0ms
ky
Results
ErrorSegmentsBranch
0.2b1kx
0.2b1ky
0.2b1th
0.2b1(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
0.2b1(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
0.2b1(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
0.2b1(sin.f64 ky)
0.2b1(pow.f64 (sin.f64 kx) 2)
0.2b1(pow.f64 (sin.f64 kx) 2)
0.2b1(sin.f64 kx)
0.2b1(sin.f64 th)
Compiler

Compiled 1435 to 568 computations (60.4% saved)

regimes486.0ms (1.1%)

Counts
99 → 1
Calls
Call 1
Inputs
th
th
th
(/.f64 1 (/.f64 1 th))
(sin.f64 th)
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(/.f64 (*.f64 ky th) (sin.f64 kx))
(-.f64 (+.f64 1 (sin.f64 th)) 1)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 1 (/.f64 1 (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 ky th)))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 th 3))) 1)
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
(sqrt.f64 (*.f64 (pow.f64 th 6) 1/36))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (neg.f64 kx)))
(+.f64 (pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3) th)
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th) (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th th))))
(log.f64 (exp.f64 (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 th 3) 3) -1/216))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky))
(*.f64 (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 1 (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 th)) (sin.f64 ky)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th ky)))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th))))
(*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))))
(-.f64 (+.f64 1 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))) 1)
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) th) th)
(/.f64 1 (*.f64 (neg.f64 (sin.f64 kx)) (/.f64 1 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))))))
(*.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 th) kx) (*.f64 kx (*.f64 (sin.f64 th) 1/6))))
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (*.f64 1/6 (*.f64 (sin.f64 ky) th))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky (/.f64 kx ky)) kx)))
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (/.f64 (sin.f64 th) ky)))
(/.f64 1 (/.f64 (sin.f64 kx) (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) 2)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th))
(/.f64 1 (fma.f64 (/.f64 1/2 th) (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) (/.f64 1 th)))
(/.f64 1 (+.f64 (/.f64 (sin.f64 kx) (*.f64 th ky)) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) th))) (*.f64 -1/6 (/.f64 (sin.f64 kx) th))) ky)))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 th 3) -1/6 th) 2))
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 th 3) th) 2))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) 1) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th)))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))
(log.f64 (exp.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))
(*.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) -3)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))) 3)
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
Outputs
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
Calls

6 calls:

124.0ms
(sin.f64 ky)
99.0ms
kx
67.0ms
ky
59.0ms
(sin.f64 th)
54.0ms
th
Results
ErrorSegmentsBranch
0.3b1kx
0.3b1ky
0.3b1th
0.3b1(sin.f64 ky)
0.3b1(sin.f64 kx)
0.3b1(sin.f64 th)
Compiler

Compiled 925 to 375 computations (59.5% saved)

regimes431.0ms (0.9%)

Counts
98 → 1
Calls
Call 1
Inputs
th
th
th
(/.f64 1 (/.f64 1 th))
(sin.f64 th)
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(/.f64 (*.f64 ky th) (sin.f64 kx))
(-.f64 (+.f64 1 (sin.f64 th)) 1)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 1 (/.f64 1 (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 ky th)))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 th 3))) 1)
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
(sqrt.f64 (*.f64 (pow.f64 th 6) 1/36))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (neg.f64 kx)))
(+.f64 (pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3) th)
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th) (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th th))))
(log.f64 (exp.f64 (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 th 3) 3) -1/216))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky))
(*.f64 (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 1 (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 th)) (sin.f64 ky)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th ky)))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th))))
(*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))))
(-.f64 (+.f64 1 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))) 1)
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) th) th)
(/.f64 1 (*.f64 (neg.f64 (sin.f64 kx)) (/.f64 1 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))))))
(*.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 th) kx) (*.f64 kx (*.f64 (sin.f64 th) 1/6))))
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (*.f64 1/6 (*.f64 (sin.f64 ky) th))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky (/.f64 kx ky)) kx)))
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (/.f64 (sin.f64 th) ky)))
(/.f64 1 (/.f64 (sin.f64 kx) (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) 2)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th))
(/.f64 1 (fma.f64 (/.f64 1/2 th) (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) (/.f64 1 th)))
(/.f64 1 (+.f64 (/.f64 (sin.f64 kx) (*.f64 th ky)) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) th))) (*.f64 -1/6 (/.f64 (sin.f64 kx) th))) ky)))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 th 3) -1/6 th) 2))
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 th 3) th) 2))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) 1) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th)))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))
(log.f64 (exp.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))
(*.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) -3)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))) 3)
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
Outputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
Calls

6 calls:

91.0ms
(sin.f64 th)
68.0ms
th
65.0ms
(sin.f64 kx)
64.0ms
(sin.f64 ky)
57.0ms
ky
Results
ErrorSegmentsBranch
0.3b1kx
0.3b1ky
0.3b1th
0.3b1(sin.f64 ky)
0.3b1(sin.f64 kx)
0.3b1(sin.f64 th)
Compiler

Compiled 914 to 373 computations (59.2% saved)

regimes3.1s (6.7%)

Counts
97 → 5
Calls
Call 1
Inputs
th
th
th
(/.f64 1 (/.f64 1 th))
(sin.f64 th)
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(/.f64 (*.f64 ky th) (sin.f64 kx))
(-.f64 (+.f64 1 (sin.f64 th)) 1)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 1 (/.f64 1 (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 ky th)))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 th 3))) 1)
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
(sqrt.f64 (*.f64 (pow.f64 th 6) 1/36))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (neg.f64 kx)))
(+.f64 (pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3) th)
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th) (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th th))))
(log.f64 (exp.f64 (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 th 3) 3) -1/216))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky))
(*.f64 (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 1 (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 th)) (sin.f64 ky)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th ky)))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th))))
(*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))))
(-.f64 (+.f64 1 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))) 1)
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) th) th)
(/.f64 1 (*.f64 (neg.f64 (sin.f64 kx)) (/.f64 1 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))))))
(*.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 th) kx) (*.f64 kx (*.f64 (sin.f64 th) 1/6))))
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (*.f64 1/6 (*.f64 (sin.f64 ky) th))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky (/.f64 kx ky)) kx)))
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (/.f64 (sin.f64 th) ky)))
(/.f64 1 (/.f64 (sin.f64 kx) (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) 2)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th))
(/.f64 1 (fma.f64 (/.f64 1/2 th) (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) (/.f64 1 th)))
(/.f64 1 (+.f64 (/.f64 (sin.f64 kx) (*.f64 th ky)) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) th))) (*.f64 -1/6 (/.f64 (sin.f64 kx) th))) ky)))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 th 3) -1/6 th) 2))
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 th 3) th) 2))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) 1) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th)))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))
(log.f64 (exp.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))
(*.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) -3)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))) 3)
Outputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
Calls

9 calls:

471.0ms
ky
436.0ms
th
413.0ms
(sin.f64 kx)
397.0ms
(sin.f64 th)
365.0ms
(sin.f64 th)
Results
ErrorSegmentsBranch
14.3b3kx
16.3b5ky
14.6b6th
15.7b4(sin.f64 ky)
15.7b4(sin.f64 ky)
13.1b5(sin.f64 kx)
13.1b5(sin.f64 kx)
15.1b6(sin.f64 th)
15.1b6(sin.f64 th)
Compiler

Compiled 918 to 383 computations (58.3% saved)

bsearch2.0ms (0%)

Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
0.9633611895849902
0.9649253215172225
0.0ms
0.8688167693137068
0.8781259012682157
0.0ms
0.015301270403160695
0.020334654288682905
0.0ms
-0.03251677287096418
-1.7435179557678057e-7
Compiler

Compiled 25 to 19 computations (24% saved)

regimes3.0s (6.5%)

Counts
90 → 6
Calls
Call 1
Inputs
th
th
th
(/.f64 1 (/.f64 1 th))
(sin.f64 th)
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(/.f64 (*.f64 ky th) (sin.f64 kx))
(-.f64 (+.f64 1 (sin.f64 th)) 1)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 1 (/.f64 1 (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 ky th)))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 th 3))) 1)
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
(sqrt.f64 (*.f64 (pow.f64 th 6) 1/36))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (neg.f64 kx)))
(+.f64 (pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3) th)
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th) (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th th))))
(log.f64 (exp.f64 (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 th 3) 3) -1/216))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky))
(*.f64 (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 1 (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 th)) (sin.f64 ky)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th ky)))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th))))
(*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))))
(-.f64 (+.f64 1 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))) 1)
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) th) th)
(/.f64 1 (*.f64 (neg.f64 (sin.f64 kx)) (/.f64 1 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))))))
(*.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 th) kx) (*.f64 kx (*.f64 (sin.f64 th) 1/6))))
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (*.f64 1/6 (*.f64 (sin.f64 ky) th))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky (/.f64 kx ky)) kx)))
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (/.f64 (sin.f64 th) ky)))
(/.f64 1 (/.f64 (sin.f64 kx) (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) 2)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th))
(/.f64 1 (fma.f64 (/.f64 1/2 th) (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) (/.f64 1 th)))
(/.f64 1 (+.f64 (/.f64 (sin.f64 kx) (*.f64 th ky)) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) th))) (*.f64 -1/6 (/.f64 (sin.f64 kx) th))) ky)))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 th 3) -1/6 th) 2))
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 th 3) th) 2))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) 1) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th)))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
Outputs
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
Calls

9 calls:

556.0ms
(sin.f64 kx)
450.0ms
th
336.0ms
(sin.f64 kx)
320.0ms
(sin.f64 th)
315.0ms
(sin.f64 th)
Results
ErrorSegmentsBranch
16.9b3kx
16.3b5ky
14.6b6th
15.8b4(sin.f64 ky)
15.8b4(sin.f64 ky)
13.4b6(sin.f64 kx)
13.4b6(sin.f64 kx)
16.1b4(sin.f64 th)
16.1b4(sin.f64 th)
Compiler

Compiled 835 to 351 computations (58% saved)

bsearch1.0ms (0%)

Algorithm
5×left-value
Steps
TimeLeftRight
0.0ms
0.9633611895849902
0.9649253215172225
0.0ms
0.8688167693137068
0.8781259012682157
0.0ms
0.015301270403160695
0.020334654288682905
0.0ms
-0.03251677287096418
-1.7435179557678057e-7
0.0ms
-0.8994450544865106
-0.8752851251962944
Compiler

Compiled 25 to 19 computations (24% saved)

regimes2.9s (6.3%)

Counts
89 → 6
Calls
Call 1
Inputs
th
th
th
(/.f64 1 (/.f64 1 th))
(sin.f64 th)
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(/.f64 (*.f64 ky th) (sin.f64 kx))
(-.f64 (+.f64 1 (sin.f64 th)) 1)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 1 (/.f64 1 (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 ky th)))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 th 3))) 1)
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
(sqrt.f64 (*.f64 (pow.f64 th 6) 1/36))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (neg.f64 kx)))
(+.f64 (pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3) th)
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th) (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th th))))
(log.f64 (exp.f64 (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 th 3) 3) -1/216))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky))
(*.f64 (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 1 (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 th)) (sin.f64 ky)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th ky)))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th))))
(*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))))
(-.f64 (+.f64 1 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))) 1)
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) th) th)
(/.f64 1 (*.f64 (neg.f64 (sin.f64 kx)) (/.f64 1 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))))))
(*.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 th) kx) (*.f64 kx (*.f64 (sin.f64 th) 1/6))))
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (*.f64 1/6 (*.f64 (sin.f64 ky) th))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky (/.f64 kx ky)) kx)))
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (/.f64 (sin.f64 th) ky)))
(/.f64 1 (/.f64 (sin.f64 kx) (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) 2)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th))
(/.f64 1 (fma.f64 (/.f64 1/2 th) (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) (/.f64 1 th)))
(/.f64 1 (+.f64 (/.f64 (sin.f64 kx) (*.f64 th ky)) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) th))) (*.f64 -1/6 (/.f64 (sin.f64 kx) th))) ky)))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 th 3) -1/6 th) 2))
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 th 3) th) 2))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) 1) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th)))
Outputs
(*.f64 (/.f64 (sin.f64 ky) 1) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
Calls

9 calls:

482.0ms
th
430.0ms
(sin.f64 kx)
404.0ms
(sin.f64 kx)
314.0ms
ky
285.0ms
(sin.f64 ky)
Results
ErrorSegmentsBranch
16.9b3kx
16.3b5ky
14.6b6th
15.8b4(sin.f64 ky)
15.8b4(sin.f64 ky)
13.4b6(sin.f64 kx)
13.4b6(sin.f64 kx)
16.1b4(sin.f64 th)
16.1b4(sin.f64 th)
Compiler

Compiled 823 to 348 computations (57.7% saved)

bsearch2.0ms (0%)

Algorithm
5×left-value
Steps
TimeLeftRight
0.0ms
0.9633611895849902
0.9649253215172225
0.0ms
0.8688167693137068
0.8781259012682157
0.0ms
0.015301270403160695
0.020334654288682905
0.0ms
-0.03251677287096418
-1.7435179557678057e-7
0.0ms
-0.8994450544865106
-0.8752851251962944
Compiler

Compiled 25 to 19 computations (24% saved)

regimes2.4s (5.2%)

Counts
86 → 6
Calls
Call 1
Inputs
th
th
th
(/.f64 1 (/.f64 1 th))
(sin.f64 th)
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(/.f64 (*.f64 ky th) (sin.f64 kx))
(-.f64 (+.f64 1 (sin.f64 th)) 1)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 1 (/.f64 1 (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 ky th)))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 th 3))) 1)
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
(sqrt.f64 (*.f64 (pow.f64 th 6) 1/36))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (neg.f64 kx)))
(+.f64 (pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3) th)
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th) (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th th))))
(log.f64 (exp.f64 (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 th 3) 3) -1/216))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky))
(*.f64 (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 1 (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 th)) (sin.f64 ky)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th ky)))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th))))
(*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))))
(-.f64 (+.f64 1 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))) 1)
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) th) th)
(/.f64 1 (*.f64 (neg.f64 (sin.f64 kx)) (/.f64 1 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))))))
(*.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 th) kx) (*.f64 kx (*.f64 (sin.f64 th) 1/6))))
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (*.f64 1/6 (*.f64 (sin.f64 ky) th))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky (/.f64 kx ky)) kx)))
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (/.f64 (sin.f64 th) ky)))
(/.f64 1 (/.f64 (sin.f64 kx) (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) 2)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th))
(/.f64 1 (fma.f64 (/.f64 1/2 th) (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) (/.f64 1 th)))
(/.f64 1 (+.f64 (/.f64 (sin.f64 kx) (*.f64 th ky)) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) th))) (*.f64 -1/6 (/.f64 (sin.f64 kx) th))) ky)))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 th 3) -1/6 th) 2))
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 th 3) th) 2))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)))
Outputs
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
Calls

9 calls:

364.0ms
(sin.f64 kx)
333.0ms
(sin.f64 kx)
286.0ms
th
273.0ms
(sin.f64 th)
266.0ms
(sin.f64 th)
Results
ErrorSegmentsBranch
16.9b3kx
16.3b5ky
14.6b6th
15.8b4(sin.f64 ky)
15.8b4(sin.f64 ky)
13.4b6(sin.f64 kx)
13.4b6(sin.f64 kx)
16.1b4(sin.f64 th)
16.1b4(sin.f64 th)
Compiler

Compiled 787 to 337 computations (57.2% saved)

bsearch1.0ms (0%)

Algorithm
5×left-value
Steps
TimeLeftRight
0.0ms
0.9633611895849902
0.9649253215172225
0.0ms
0.8688167693137068
0.8781259012682157
0.0ms
0.015301270403160695
0.020334654288682905
0.0ms
-0.03251677287096418
-1.7435179557678057e-7
0.0ms
-0.8994450544865106
-0.8752851251962944
Compiler

Compiled 25 to 19 computations (24% saved)

regimes2.8s (6.1%)

Counts
84 → 6
Calls
Call 1
Inputs
th
th
th
(/.f64 1 (/.f64 1 th))
(sin.f64 th)
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(/.f64 (*.f64 ky th) (sin.f64 kx))
(-.f64 (+.f64 1 (sin.f64 th)) 1)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 1 (/.f64 1 (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 ky th)))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 th 3))) 1)
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
(sqrt.f64 (*.f64 (pow.f64 th 6) 1/36))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (neg.f64 kx)))
(+.f64 (pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3) th)
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th) (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th th))))
(log.f64 (exp.f64 (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 th 3) 3) -1/216))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky))
(*.f64 (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 1 (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 th)) (sin.f64 ky)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th ky)))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th))))
(*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))))
(-.f64 (+.f64 1 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))) 1)
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) th) th)
(/.f64 1 (*.f64 (neg.f64 (sin.f64 kx)) (/.f64 1 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))))))
(*.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 th) kx) (*.f64 kx (*.f64 (sin.f64 th) 1/6))))
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (*.f64 1/6 (*.f64 (sin.f64 ky) th))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky (/.f64 kx ky)) kx)))
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (/.f64 (sin.f64 th) ky)))
(/.f64 1 (/.f64 (sin.f64 kx) (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) 2)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th))
(/.f64 1 (fma.f64 (/.f64 1/2 th) (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) (/.f64 1 th)))
(/.f64 1 (+.f64 (/.f64 (sin.f64 kx) (*.f64 th ky)) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) th))) (*.f64 -1/6 (/.f64 (sin.f64 kx) th))) ky)))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 th 3) -1/6 th) 2))
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 th 3) th) 2))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
Outputs
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
(/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
Calls

9 calls:

476.0ms
th
415.0ms
(sin.f64 kx)
363.0ms
(sin.f64 kx)
314.0ms
ky
282.0ms
(sin.f64 th)
Results
ErrorSegmentsBranch
16.9b3kx
16.3b5ky
14.6b6th
15.8b4(sin.f64 ky)
15.8b4(sin.f64 ky)
13.4b6(sin.f64 kx)
13.4b6(sin.f64 kx)
16.1b4(sin.f64 th)
16.1b4(sin.f64 th)
Compiler

Compiled 767 to 334 computations (56.5% saved)

bsearch1.0ms (0%)

Algorithm
5×left-value
Steps
TimeLeftRight
0.0ms
0.9633611895849902
0.9649253215172225
0.0ms
0.8688167693137068
0.8781259012682157
0.0ms
0.015301270403160695
0.020334654288682905
0.0ms
-0.03251677287096418
-1.7435179557678057e-7
0.0ms
-0.8994450544865106
-0.8752851251962944
Compiler

Compiled 25 to 19 computations (24% saved)

regimes3.9s (8.5%)

Counts
82 → 6
Calls
Call 1
Inputs
th
th
th
(/.f64 1 (/.f64 1 th))
(sin.f64 th)
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(/.f64 (*.f64 ky th) (sin.f64 kx))
(-.f64 (+.f64 1 (sin.f64 th)) 1)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 1 (/.f64 1 (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 ky th)))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 th 3))) 1)
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
(sqrt.f64 (*.f64 (pow.f64 th 6) 1/36))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (neg.f64 kx)))
(+.f64 (pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3) th)
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th) (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th th))))
(log.f64 (exp.f64 (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 th 3) 3) -1/216))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky))
(*.f64 (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 1 (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 th)) (sin.f64 ky)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th ky)))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th))))
(*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))))
(-.f64 (+.f64 1 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))) 1)
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) th) th)
(/.f64 1 (*.f64 (neg.f64 (sin.f64 kx)) (/.f64 1 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))))))
(*.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 th) kx) (*.f64 kx (*.f64 (sin.f64 th) 1/6))))
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (*.f64 1/6 (*.f64 (sin.f64 ky) th))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky (/.f64 kx ky)) kx)))
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (/.f64 (sin.f64 th) ky)))
(/.f64 1 (/.f64 (sin.f64 kx) (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) 2)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th))
(/.f64 1 (fma.f64 (/.f64 1/2 th) (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) (/.f64 1 th)))
(/.f64 1 (+.f64 (/.f64 (sin.f64 kx) (*.f64 th ky)) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) th))) (*.f64 -1/6 (/.f64 (sin.f64 kx) th))) ky)))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 th 3) -1/6 th) 2))
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 th 3) th) 2))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
Outputs
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
Calls

9 calls:

852.0ms
(sin.f64 ky)
750.0ms
(sin.f64 ky)
526.0ms
ky
476.0ms
(sin.f64 kx)
400.0ms
th
Results
ErrorSegmentsBranch
16.0b4kx
23.3b9ky
16.1b5th
21.9b10(sin.f64 ky)
21.9b10(sin.f64 ky)
13.4b6(sin.f64 kx)
13.4b6(sin.f64 kx)
17.2b3(sin.f64 th)
17.2b3(sin.f64 th)
Compiler

Compiled 747 to 331 computations (55.7% saved)

bsearch1.0ms (0%)

Algorithm
5×left-value
Steps
TimeLeftRight
0.0ms
0.9633611895849902
0.9649253215172225
0.0ms
0.8688167693137068
0.8781259012682157
0.0ms
0.015301270403160695
0.020334654288682905
0.0ms
-0.03251677287096418
-1.7435179557678057e-7
0.0ms
-0.8994450544865106
-0.8752851251962944
Compiler

Compiled 25 to 19 computations (24% saved)

regimes2.4s (5.4%)

Counts
81 → 3
Calls
Call 1
Inputs
th
th
th
(/.f64 1 (/.f64 1 th))
(sin.f64 th)
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(/.f64 (*.f64 ky th) (sin.f64 kx))
(-.f64 (+.f64 1 (sin.f64 th)) 1)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 1 (/.f64 1 (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 ky th)))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 th 3))) 1)
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
(sqrt.f64 (*.f64 (pow.f64 th 6) 1/36))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (neg.f64 kx)))
(+.f64 (pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3) th)
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th) (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th th))))
(log.f64 (exp.f64 (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 th 3) 3) -1/216))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky))
(*.f64 (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 1 (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 th)) (sin.f64 ky)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th ky)))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th))))
(*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))))
(-.f64 (+.f64 1 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))) 1)
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) th) th)
(/.f64 1 (*.f64 (neg.f64 (sin.f64 kx)) (/.f64 1 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))))))
(*.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 th) kx) (*.f64 kx (*.f64 (sin.f64 th) 1/6))))
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (*.f64 1/6 (*.f64 (sin.f64 ky) th))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky (/.f64 kx ky)) kx)))
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (/.f64 (sin.f64 th) ky)))
(/.f64 1 (/.f64 (sin.f64 kx) (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) 2)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th))
(/.f64 1 (fma.f64 (/.f64 1/2 th) (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) (/.f64 1 th)))
(/.f64 1 (+.f64 (/.f64 (sin.f64 kx) (*.f64 th ky)) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) th))) (*.f64 -1/6 (/.f64 (sin.f64 kx) th))) ky)))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 th 3) -1/6 th) 2))
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 th 3) th) 2))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
Outputs
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
Calls

9 calls:

365.0ms
ky
354.0ms
(sin.f64 ky)
344.0ms
(sin.f64 ky)
343.0ms
(sin.f64 th)
294.0ms
(sin.f64 th)
Results
ErrorSegmentsBranch
17.4b3kx
25.4b7ky
26.9b5th
24.4b7(sin.f64 ky)
24.4b7(sin.f64 ky)
15.8b3(sin.f64 kx)
15.8b3(sin.f64 kx)
26.6b5(sin.f64 th)
26.6b5(sin.f64 th)
Compiler

Compiled 737 to 328 computations (55.5% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.015301270403160695
0.020334654288682905
0.0ms
-0.03251677287096418
-1.7435179557678057e-7
Compiler

Compiled 25 to 19 computations (24% saved)

regimes2.4s (5.2%)

Counts
80 → 5
Calls
Call 1
Inputs
th
th
th
(/.f64 1 (/.f64 1 th))
(sin.f64 th)
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(/.f64 (*.f64 ky th) (sin.f64 kx))
(-.f64 (+.f64 1 (sin.f64 th)) 1)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 1 (/.f64 1 (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 ky th)))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 th 3))) 1)
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
(sqrt.f64 (*.f64 (pow.f64 th 6) 1/36))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (neg.f64 kx)))
(+.f64 (pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3) th)
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th) (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th th))))
(log.f64 (exp.f64 (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 th 3) 3) -1/216))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky))
(*.f64 (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 1 (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 th)) (sin.f64 ky)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th ky)))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th))))
(*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))))
(-.f64 (+.f64 1 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))) 1)
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) th) th)
(/.f64 1 (*.f64 (neg.f64 (sin.f64 kx)) (/.f64 1 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))))))
(*.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 th) kx) (*.f64 kx (*.f64 (sin.f64 th) 1/6))))
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (*.f64 1/6 (*.f64 (sin.f64 ky) th))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky (/.f64 kx ky)) kx)))
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (/.f64 (sin.f64 th) ky)))
(/.f64 1 (/.f64 (sin.f64 kx) (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) 2)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th))
(/.f64 1 (fma.f64 (/.f64 1/2 th) (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) (/.f64 1 th)))
(/.f64 1 (+.f64 (/.f64 (sin.f64 kx) (*.f64 th ky)) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sin.f64 kx) th))) (*.f64 -1/6 (/.f64 (sin.f64 kx) th))) ky)))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 th 3) -1/6 th) 2))
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 th 3) th) 2))
Outputs
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th))
(sin.f64 th)
Calls

9 calls:

447.0ms
(sin.f64 ky)
342.0ms
(sin.f64 ky)
324.0ms
th
253.0ms
ky
225.0ms
(sin.f64 kx)
Results
ErrorSegmentsBranch
34.8b3kx
34.3b5ky
35.6b7th
29.4b5(sin.f64 ky)
29.4b5(sin.f64 ky)
33.0b3(sin.f64 kx)
33.0b3(sin.f64 kx)
37.4b5(sin.f64 th)
37.4b5(sin.f64 th)
Compiler

Compiled 727 to 325 computations (55.3% saved)

bsearch2.0ms (0%)

Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
3.958724233633814e-56
8.973724787687859e-55
0.0ms
2.89898369210081e-134
6.917399876998421e-131
1.0ms
7.437436198247171e-305
2.177269824105019e-304
0.0ms
-5.263937327855542e-44
-1.9734523607377112e-50
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes2.3s (5%)

Counts
75 → 3
Calls
Call 1
Inputs
th
th
th
(/.f64 1 (/.f64 1 th))
(sin.f64 th)
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(/.f64 (*.f64 ky th) (sin.f64 kx))
(-.f64 (+.f64 1 (sin.f64 th)) 1)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 1 (/.f64 1 (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 ky th)))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 th 3))) 1)
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
(sqrt.f64 (*.f64 (pow.f64 th 6) 1/36))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (neg.f64 kx)))
(+.f64 (pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3) th)
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th) (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th th))))
(log.f64 (exp.f64 (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 th 3) 3) -1/216))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 1 (/.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (sin.f64 ky)))
(*.f64 (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky))
(*.f64 (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 1 (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 1 (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 th)) (sin.f64 ky)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th ky)))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 kx) (sin.f64 th))))
(*.f64 (/.f64 1 (sin.f64 ky)) (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))))
(-.f64 (+.f64 1 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))) 1)
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) th) th)
(/.f64 1 (*.f64 (neg.f64 (sin.f64 kx)) (/.f64 1 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))))))
(*.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 th) kx) (*.f64 kx (*.f64 (sin.f64 th) 1/6))))
(/.f64 (sin.f64 ky) (+.f64 (/.f64 (sin.f64 ky) th) (*.f64 1/6 (*.f64 (sin.f64 ky) th))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky (/.f64 kx ky)) kx)))
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (/.f64 (sin.f64 th) ky)))
(/.f64 1 (/.f64 (sin.f64 kx) (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) 2)))
Outputs
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(sin.f64 th)
Calls

9 calls:

399.0ms
th
278.0ms
(sin.f64 th)
278.0ms
(sin.f64 ky)
249.0ms
(sin.f64 kx)
248.0ms
(sin.f64 kx)
Results
ErrorSegmentsBranch
38.0b3kx
35.8b5ky
36.8b7th
31.4b3(sin.f64 ky)
31.4b3(sin.f64 ky)
35.4b5(sin.f64 kx)
35.4b5(sin.f64 kx)
38.2b5(sin.f64 th)
38.2b5(sin.f64 th)
Compiler

Compiled 650 to 274 computations (57.8% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.826244104623282e-126
4.9344950382048e-125
0.0ms
-1.1946040168155424e-33
-2.3255073058906298e-36
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes941.0ms (2.1%)

Counts
43 → 3
Calls
Call 1
Inputs
th
th
th
(/.f64 1 (/.f64 1 th))
(sin.f64 th)
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(/.f64 (*.f64 ky th) (sin.f64 kx))
(-.f64 (+.f64 1 (sin.f64 th)) 1)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 1 (/.f64 1 (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 ky th)))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 th 3))) 1)
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
(sqrt.f64 (*.f64 (pow.f64 th 6) 1/36))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (neg.f64 kx)))
(+.f64 (pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3) th)
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(/.f64 1 (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) th)))
(/.f64 1 (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th) (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th th))))
(log.f64 (exp.f64 (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
Outputs
(sin.f64 th)
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(sin.f64 th)
Calls

8 calls:

159.0ms
(sin.f64 kx)
159.0ms
(sin.f64 th)
122.0ms
th
122.0ms
ky
105.0ms
(sin.f64 th)
Results
ErrorSegmentsBranch
40.0b3kx
38.8b3ky
42.9b6th
38.8b2(sin.f64 ky)
38.8b2(sin.f64 ky)
39.5b3(sin.f64 kx)
44.0b4(sin.f64 th)
44.0b4(sin.f64 th)
Compiler

Compiled 319 to 150 computations (53% saved)

bsearch307.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
137.0ms
2.826244104623282e-126
4.9344950382048e-125
169.0ms
-3.4198306224642115e-6
-1.48310294439298e-12
Compiler

Compiled 25 to 19 computations (24% saved)

regimes537.0ms (1.2%)

Counts
18 → 3
Calls
Call 1
Inputs
th
th
th
(/.f64 1 (/.f64 1 th))
(sin.f64 th)
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(/.f64 (*.f64 ky th) (sin.f64 kx))
(-.f64 (+.f64 1 (sin.f64 th)) 1)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 1 (/.f64 1 (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 ky th)))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 th 3))) 1)
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
(sqrt.f64 (*.f64 (pow.f64 th 6) 1/36))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
Outputs
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(sin.f64 th)
Calls

9 calls:

103.0ms
(sin.f64 th)
76.0ms
(sin.f64 kx)
66.0ms
th
62.0ms
(sin.f64 th)
61.0ms
kx
Results
ErrorSegmentsBranch
43.2b5kx
43.4b3ky
44.8b7th
42.5b3(sin.f64 ky)
42.5b3(sin.f64 ky)
42.6b5(sin.f64 kx)
42.6b5(sin.f64 kx)
44.8b7(sin.f64 th)
44.8b7(sin.f64 th)
Compiler

Compiled 139 to 91 computations (34.5% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.842737227353286e-140
6.124991221494909e-138
0.0ms
-1.7842489911918394e-141
-1.1054252198617824e-147
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes430.0ms (0.9%)

Counts
17 → 3
Calls
Call 1
Inputs
th
th
th
(/.f64 1 (/.f64 1 th))
(sin.f64 th)
(*.f64 -1/6 (pow.f64 th 3))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(/.f64 (*.f64 ky th) (sin.f64 kx))
(-.f64 (+.f64 1 (sin.f64 th)) 1)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 1 (/.f64 1 (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 ky th)))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 th 3))) 1)
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
(sqrt.f64 (*.f64 (pow.f64 th 6) 1/36))
Outputs
(sin.f64 th)
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(sin.f64 th)
Calls

7 calls:

92.0ms
(sin.f64 th)
76.0ms
(sin.f64 kx)
65.0ms
th
58.0ms
(sin.f64 th)
57.0ms
kx
Results
ErrorSegmentsBranch
44.1b5kx
43.4b3ky
45.1b7th
43.5b5(sin.f64 kx)
43.5b5(sin.f64 kx)
45.1b7(sin.f64 th)
45.1b7(sin.f64 th)
Compiler

Compiled 122 to 80 computations (34.4% saved)

bsearch312.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
128.0ms
1.4554306753922401e-168
1.5542788756019847e-154
183.0ms
-1.48310294439298e-12
-3.5323745432427084e-13
Compiler

Compiled 25 to 19 computations (24% saved)

regimes46.0ms (0.1%)

Counts
6 → 3
Calls
Call 1
Inputs
th
th
th
(/.f64 1 (/.f64 1 th))
(sin.f64 th)
(*.f64 -1/6 (pow.f64 th 3))
Outputs
(sin.f64 th)
(*.f64 -1/6 (pow.f64 th 3))
(sin.f64 th)
Calls

4 calls:

14.0ms
(sin.f64 th)
13.0ms
ky
12.0ms
th
5.0ms
kx
Results
ErrorSegmentsBranch
49.6b1kx
47.4b3ky
48.4b3th
48.4b3(sin.f64 th)
Compiler

Compiled 35 to 25 computations (28.6% saved)

bsearch374.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
187.0ms
1.4554306753922401e-168
1.5542788756019847e-154
186.0ms
-5.436975003526325e-15
-8.619068046012328e-19
Compiler

Compiled 25 to 19 computations (24% saved)

regimes26.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
th
th
th
(/.f64 1 (/.f64 1 th))
(sin.f64 th)
Outputs
(sin.f64 th)
Calls

4 calls:

10.0ms
th
5.0ms
kx
5.0ms
ky
5.0ms
(sin.f64 th)
Results
ErrorSegmentsBranch
49.6b1kx
49.6b1ky
49.6b1th
49.6b1(sin.f64 th)
Compiler

Compiled 30 to 21 computations (30% saved)

regimes17.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts
4 → 1
Calls
Call 1
Inputs
th
th
th
(/.f64 1 (/.f64 1 th))
Outputs
th
Calls

3 calls:

8.0ms
ky
4.0ms
kx
4.0ms
th
Results
ErrorSegmentsBranch
55.4b1kx
55.4b1ky
55.4b1th
Compiler

Compiled 23 to 16 computations (30.4% saved)

simplify55.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
15×*-commutative_binary64
3×+-commutative_binary64
3×sub-neg_binary64
2×distribute-lft-neg-in_binary64
2×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01261166
11481166
21571166
31611166
41641166
51651166
Stop Event
1×fuel
1×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 (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)))
(if (<=.f64 (sin.f64 kx) -5764607523034235/288230376151711744) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 th)) (if (<=.f64 (sin.f64 kx) 5764607523034235/288230376151711744) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 kx) 7836263351624663/9007199254740992) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) (if (<=.f64 (sin.f64 kx) 2170735020392579/2251799813685248) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))))))
(if (<=.f64 (sin.f64 kx) -7926335344172073/9007199254740992) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) (if (<=.f64 (sin.f64 kx) -5764607523034235/288230376151711744) (/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) 5764607523034235/288230376151711744) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 kx) 7836263351624663/9007199254740992) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) (if (<=.f64 (sin.f64 kx) 2170735020392579/2251799813685248) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))))))
(if (<=.f64 (sin.f64 kx) -7926335344172073/9007199254740992) (*.f64 (/.f64 (sin.f64 ky) 1) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) -5764607523034235/288230376151711744) (/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) 5764607523034235/288230376151711744) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 kx) 7836263351624663/9007199254740992) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) (if (<=.f64 (sin.f64 kx) 2170735020392579/2251799813685248) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))))))
(if (<=.f64 (sin.f64 kx) -7926335344172073/9007199254740992) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) -5764607523034235/288230376151711744) (/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) 5764607523034235/288230376151711744) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 kx) 7836263351624663/9007199254740992) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) (if (<=.f64 (sin.f64 kx) 2170735020392579/2251799813685248) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))))))
(if (<=.f64 (sin.f64 kx) -7926335344172073/9007199254740992) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (if (<=.f64 (sin.f64 kx) -5764607523034235/288230376151711744) (/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) 5764607523034235/288230376151711744) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 kx) 7836263351624663/9007199254740992) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) (if (<=.f64 (sin.f64 kx) 2170735020392579/2251799813685248) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))))))
(if (<=.f64 (sin.f64 kx) -7926335344172073/9007199254740992) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (if (<=.f64 (sin.f64 kx) -5764607523034235/288230376151711744) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th)) (if (<=.f64 (sin.f64 kx) 5764607523034235/288230376151711744) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 kx) 7836263351624663/9007199254740992) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) (if (<=.f64 (sin.f64 kx) 2170735020392579/2251799813685248) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))))))
(if (<=.f64 (sin.f64 kx) -5764607523034235/288230376151711744) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th)) (if (<=.f64 (sin.f64 kx) 5764607523034235/288230376151711744) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))))
(if (<=.f64 (sin.f64 ky) -5021681388309345/100433627766186892221372630771322662657637687111424552206336) (sqrt.f64 (pow.f64 (sin.f64 th) 2)) (if (<=.f64 (sin.f64 ky) 4941461262385513/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 2557336412418861/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))) (if (<=.f64 (sin.f64 ky) 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th)) (sin.f64 th)))))
(if (<=.f64 (sin.f64 ky) -1461501637330903/1461501637330902918203684832716283019655932542976) (sqrt.f64 (pow.f64 (sin.f64 th) 2)) (if (<=.f64 (sin.f64 ky) 7621456421669903/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (sin.f64 th)))
(if (<=.f64 ky -4037423377154057/1180591620717411303424) (sin.f64 th) (if (<=.f64 ky 8616038512155127/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -3432398830065305/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576) (/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)) (if (<=.f64 (sin.f64 ky) 4290498537581631/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536) (*.f64 (/.f64 ky kx) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 ky -7343970068984435/4951760157141521099596496896) (sin.f64 th) (if (<=.f64 ky 6184276220894289/4249103942534136789516705652419749018636744941816255385595553105603228478886817941913300018121834285351114635889972008122772634701221657915276159830132698815550650166683145752253825024) (*.f64 (/.f64 th (sin.f64 kx)) ky) (sin.f64 th)))
(if (<=.f64 ky -3446092313323013/633825300114114700748351602688) (sin.f64 th) (if (<=.f64 ky 6184276220894289/4249103942534136789516705652419749018636744941816255385595553105603228478886817941913300018121834285351114635889972008122772634701221657915276159830132698815550650166683145752253825024) (*.f64 -1/6 (pow.f64 th 3)) (sin.f64 th)))
(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 (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)))
(if (<=.f64 (sin.f64 kx) -5764607523034235/288230376151711744) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 th)) (if (<=.f64 (sin.f64 kx) 5764607523034235/288230376151711744) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 kx) 7836263351624663/9007199254740992) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) (if (<=.f64 (sin.f64 kx) 2170735020392579/2251799813685248) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))))))
(if (<=.f64 (sin.f64 kx) -5764607523034235/288230376151711744) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) (if (<=.f64 (sin.f64 kx) 5764607523034235/288230376151711744) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 kx) 7836263351624663/9007199254740992) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) (if (<=.f64 (sin.f64 kx) 2170735020392579/2251799813685248) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))))))
(if (<=.f64 (sin.f64 kx) -5764607523034235/288230376151711744) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 1/2 (*.f64 (cos.f64 (*.f64 kx 2)) -1/2))))) (if (<=.f64 (sin.f64 kx) 5764607523034235/288230376151711744) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 kx) 7836263351624663/9007199254740992) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) (if (<=.f64 (sin.f64 kx) 2170735020392579/2251799813685248) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))))))
(if (<=.f64 (sin.f64 kx) -7926335344172073/9007199254740992) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) (if (<=.f64 (sin.f64 kx) -5764607523034235/288230376151711744) (/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) 5764607523034235/288230376151711744) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 kx) 7836263351624663/9007199254740992) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) (if (<=.f64 (sin.f64 kx) 2170735020392579/2251799813685248) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))))))
(if (<=.f64 (sin.f64 kx) -7926335344172073/9007199254740992) (/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) (if (<=.f64 (sin.f64 kx) -5764607523034235/288230376151711744) (/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) 5764607523034235/288230376151711744) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 kx) 7836263351624663/9007199254740992) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) (if (<=.f64 (sin.f64 kx) 2170735020392579/2251799813685248) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))))))
(if (<=.f64 (sin.f64 kx) -7926335344172073/9007199254740992) (*.f64 (/.f64 (sin.f64 ky) 1) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) -5764607523034235/288230376151711744) (/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) 5764607523034235/288230376151711744) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 kx) 7836263351624663/9007199254740992) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) (if (<=.f64 (sin.f64 kx) 2170735020392579/2251799813685248) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))))))
(if (<=.f64 (sin.f64 kx) -7926335344172073/9007199254740992) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) -5764607523034235/288230376151711744) (/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) 5764607523034235/288230376151711744) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 kx) 7836263351624663/9007199254740992) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) (if (<=.f64 (sin.f64 kx) 2170735020392579/2251799813685248) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))))))
(if (<=.f64 (sin.f64 kx) -7926335344172073/9007199254740992) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) -5764607523034235/288230376151711744) (/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) 5764607523034235/288230376151711744) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 kx) 7836263351624663/9007199254740992) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) (if (<=.f64 (sin.f64 kx) 2170735020392579/2251799813685248) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))))))
(if (<=.f64 (sin.f64 kx) -7926335344172073/9007199254740992) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) -5764607523034235/288230376151711744) (/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) 5764607523034235/288230376151711744) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 kx) 7836263351624663/9007199254740992) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) (if (<=.f64 (sin.f64 kx) 2170735020392579/2251799813685248) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))))))
(if (<=.f64 (sin.f64 kx) -7926335344172073/9007199254740992) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (if (<=.f64 (sin.f64 kx) -5764607523034235/288230376151711744) (/.f64 (*.f64 (sin.f64 th) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) 5764607523034235/288230376151711744) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 kx) 7836263351624663/9007199254740992) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) (if (<=.f64 (sin.f64 kx) 2170735020392579/2251799813685248) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))))))
(if (<=.f64 (sin.f64 kx) -7926335344172073/9007199254740992) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (if (<=.f64 (sin.f64 kx) -5764607523034235/288230376151711744) (/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 (sin.f64 kx) 5764607523034235/288230376151711744) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 kx) 7836263351624663/9007199254740992) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) (if (<=.f64 (sin.f64 kx) 2170735020392579/2251799813685248) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))))))
(if (<=.f64 (sin.f64 kx) -7926335344172073/9007199254740992) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (if (<=.f64 (sin.f64 kx) -5764607523034235/288230376151711744) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th)) (if (<=.f64 (sin.f64 kx) 5764607523034235/288230376151711744) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 kx) 7836263351624663/9007199254740992) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) (if (<=.f64 (sin.f64 kx) 2170735020392579/2251799813685248) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))))))
(if (<=.f64 (sin.f64 kx) -7926335344172073/9007199254740992) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (if (<=.f64 (sin.f64 kx) -5764607523034235/288230376151711744) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))))) (if (<=.f64 (sin.f64 kx) 5764607523034235/288230376151711744) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 kx) 7836263351624663/9007199254740992) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) (if (<=.f64 (sin.f64 kx) 2170735020392579/2251799813685248) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))))))
(if (<=.f64 (sin.f64 kx) -7926335344172073/9007199254740992) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (if (<=.f64 (sin.f64 kx) -5764607523034235/288230376151711744) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 (cos.f64 (*.f64 kx 2)) -1/2)))))) (if (<=.f64 (sin.f64 kx) 5764607523034235/288230376151711744) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 kx) 7836263351624663/9007199254740992) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) (if (<=.f64 (sin.f64 kx) 2170735020392579/2251799813685248) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))))))
(if (<=.f64 (sin.f64 kx) -5764607523034235/288230376151711744) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th)) (if (<=.f64 (sin.f64 kx) 5764607523034235/288230376151711744) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))))
(if (<=.f64 (sin.f64 kx) -5764607523034235/288230376151711744) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))))) (if (<=.f64 (sin.f64 kx) 5764607523034235/288230376151711744) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))))
(if (<=.f64 (sin.f64 kx) -5764607523034235/288230376151711744) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 (cos.f64 (*.f64 kx 2)) -1/2)))))) (if (<=.f64 (sin.f64 kx) 5764607523034235/288230376151711744) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))))
(if (<=.f64 (sin.f64 ky) -5021681388309345/100433627766186892221372630771322662657637687111424552206336) (sqrt.f64 (pow.f64 (sin.f64 th) 2)) (if (<=.f64 (sin.f64 ky) 4941461262385513/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 2557336412418861/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))) (if (<=.f64 (sin.f64 ky) 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th)) (sin.f64 th)))))
(if (<=.f64 (sin.f64 ky) -5021681388309345/100433627766186892221372630771322662657637687111424552206336) (sqrt.f64 (pow.f64 (sin.f64 th) 2)) (if (<=.f64 (sin.f64 ky) 4941461262385513/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))))) (if (<=.f64 (sin.f64 ky) 2557336412418861/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))) (if (<=.f64 (sin.f64 ky) 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))))) (sin.f64 th)))))
(if (<=.f64 (sin.f64 ky) -5021681388309345/100433627766186892221372630771322662657637687111424552206336) (sqrt.f64 (pow.f64 (sin.f64 th) 2)) (if (<=.f64 (sin.f64 ky) 4941461262385513/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 (cos.f64 (*.f64 kx 2)) -1/2)))))) (if (<=.f64 (sin.f64 ky) 2557336412418861/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))) (if (<=.f64 (sin.f64 ky) 5521397077432451/110427941548649020598956093796432407239217743554726184882600387580788736) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 (cos.f64 (*.f64 kx 2)) -1/2)))))) (sin.f64 th)))))
(if (<=.f64 (sin.f64 ky) -1461501637330903/1461501637330902918203684832716283019655932542976) (sqrt.f64 (pow.f64 (sin.f64 th) 2)) (if (<=.f64 (sin.f64 ky) 7621456421669903/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (sin.f64 th)))
(if (<=.f64 ky -4037423377154057/1180591620717411303424) (sin.f64 th) (if (<=.f64 ky 8616038512155127/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -3432398830065305/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576) (/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)) (if (<=.f64 (sin.f64 ky) 4290498537581631/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536) (*.f64 (/.f64 ky kx) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -3432398830065305/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576) (/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx)) (if (<=.f64 (sin.f64 ky) 4290498537581631/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536) (*.f64 (sin.f64 th) (/.f64 ky kx)) (sin.f64 th)))
(if (<=.f64 ky -7343970068984435/4951760157141521099596496896) (sin.f64 th) (if (<=.f64 ky 6184276220894289/4249103942534136789516705652419749018636744941816255385595553105603228478886817941913300018121834285351114635889972008122772634701221657915276159830132698815550650166683145752253825024) (*.f64 (/.f64 th (sin.f64 kx)) ky) (sin.f64 th)))
(if (<=.f64 ky -7343970068984435/4951760157141521099596496896) (sin.f64 th) (if (<=.f64 ky 6184276220894289/4249103942534136789516705652419749018636744941816255385595553105603228478886817941913300018121834285351114635889972008122772634701221657915276159830132698815550650166683145752253825024) (*.f64 ky (/.f64 th (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 ky -3446092313323013/633825300114114700748351602688) (sin.f64 th) (if (<=.f64 ky 6184276220894289/4249103942534136789516705652419749018636744941816255385595553105603228478886817941913300018121834285351114635889972008122772634701221657915276159830132698815550650166683145752253825024) (*.f64 -1/6 (pow.f64 th 3)) (sin.f64 th)))
(sin.f64 th)
th
Compiler

Compiled 787 to 408 computations (48.2% saved)

soundness81.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
969×fma-def_binary64
432×distribute-lft-in_binary64
432×distribute-rgt-in_binary64
426×*-commutative_binary64
303×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02062422
16012274
220182140
376802140
Stop Event
1×node limit
Compiler

Compiled 50 to 36 computations (28% saved)

end298.0ms (0.7%)

Compiler

Compiled 736 to 244 computations (66.8% saved)

Profiling

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