Details

Time bar (total: 44.3s)

analyze1.0s (2.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
0%99.9%0.1%7
25%74.9%0.1%8
54.6%45.2%0.1%9
56.2%43.7%0.1%10
62.4%37.4%0.1%11
65.9%33.9%0.1%12
Compiler

Compiled 20 to 15 computations (25% saved)

sample7.3s (16.5%)

Results
5.6s4835×body1024valid
1.0s1460×body512valid
604.0ms1942×body256valid
79.0ms19×body2048valid

preprocess106.0ms (0.2%)

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)

simplify87.0ms (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)

prune2.0ms (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
▶4.5b
(*.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
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
Compiler

Compiled 33 to 23 computations (30.3% saved)

localize14.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓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)

series41.0ms (0.1%)

Counts
3 → 96
Calls

24 calls:

TimeVariablePointExpression
10.0ms
kx
@0
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
4.0ms
th
@inf
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
4.0ms
kx
@0
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
3.0ms
ky
@inf
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
3.0ms
ky
@0
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

rewrite66.0ms (0.1%)

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
01039
120339
2259739
Stop Event
1×node limit
Counts
3 → 111
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))
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 egg-rr> (2) ((x *.f64 (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))) (sin.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) 1) (/.f64 (cbrt.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)) 1) (/.f64 (sqrt.f64 (sin.f64 th)) (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 th) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) (cbrt.f64 (pow.f64 (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 (/.f64 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(log.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) (sqrt.f64 (log.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (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 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.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 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 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) (sin.f64 kx)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.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 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.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 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 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 (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 th) (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 th))) -1))))) (#(struct:change 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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))))))

simplify90.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
612×times-frac_binary64
537×associate-/l*_binary64
400×associate-/r*_binary64
395×associate-*l/_binary64
365×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02253857
16993696
225073504
Stop Event
1×node limit
Counts
207 → 176
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)))
Outputs
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(+.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 (sin.f64 th) (/.f64 (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 (sin.f64 th) (/.f64 (sin.f64 kx) ky)))
(+.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 -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 (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 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 (*.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 (sin.f64 th) (/.f64 (sin.f64 kx) 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 (sin.f64 ky) (*.f64 (sin.f64 th) (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 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 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 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 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 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 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 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 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 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 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 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 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 kx (/.f64 (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 (*.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 (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 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 kx (/.f64 (pow.f64 (sin.f64 ky) 2) kx)) (sin.f64 th)) (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 (sin.f64 th) -1/4) (pow.f64 (sin.f64 ky) 4))) (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 (-.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 kx (/.f64 (pow.f64 (sin.f64 ky) 2) kx)) (sin.f64 th)) (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 (sin.f64 th) -1/4) (pow.f64 (sin.f64 ky) 4))) (pow.f64 kx 4))) (*.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 (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 (/.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 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 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 (sin.f64 ky) (*.f64 (sin.f64 th) (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 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 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 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 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 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 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 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 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 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 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 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 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 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 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)))) th)
(*.f64 th (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 ky) (sin.f64 ky) (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)))) (pow.f64 th 3))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) th))
(fma.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 th 3)) (*.f64 th (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))
(fma.f64 th (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 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (pow.f64 th 3) -1/6)))
(*.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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(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))

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
✓0.2b
(pow.f64 (sin.f64 kx) 2)
✓0.3b
(pow.f64 (sin.f64 ky) 2)
✓4.1b
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
Compiler

Compiled 69 to 37 computations (46.4% saved)

series21.0ms (0%)

Counts
4 → 68
Calls

21 calls:

TimeVariablePointExpression
7.0ms
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))
2.0ms
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))
1.0ms
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))
1.0ms
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))
1.0ms
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))

rewrite71.0ms (0.2%)

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 ky) 2)
(pow.f64 (sin.f64 kx) 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 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 (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 (/.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))))))

simplify93.0ms (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
376772140
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 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)))))
(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 (*.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))))))
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(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 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 2/45 (pow.f64 ky 6) (*.f64 ky ky)))
(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 2/45 (pow.f64 ky 6) (*.f64 -1/315 (pow.f64 ky 8)))))
(fma.f64 ky ky (fma.f64 (pow.f64 ky 4) -1/3 (fma.f64 2/45 (pow.f64 ky 6) (*.f64 -1/315 (pow.f64 ky 8)))))
(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 (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 kx kx (*.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 (*.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 (pow.f64 kx 4) -1/3 (fma.f64 -1/315 (pow.f64 kx 8) (*.f64 2/45 (pow.f64 kx 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 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 2)) -1/6)) (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 (/.f64 (sin.f64 th) (sin.f64 kx)) ky (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 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 2)) -1/6)) (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 (/.f64 -1/2 (pow.f64 (sin.f64 kx) 2)) -1/6)) (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))
(+.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 (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 kx kx) (sin.f64 th)) (pow.f64 (sin.f64 ky) 2)) (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 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 (*.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)))
(+.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))))))))
(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 (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 (/.f64 2/45 (pow.f64 (sin.f64 ky) 4)) (/.f64 2/3 (pow.f64 (sin.f64 ky) 6)))))) (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))))))

eval129.0ms (0.3%)

Compiler

Compiled 9105 to 4417 computations (51.5% saved)

prune70.0ms (0.2%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New31917336
Fresh000
Picked101
Done011
Total32018338
Error
0b
Counts
338 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
▶48.7b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
▶46.4b
(sin.f64 th)
50.1b
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
0.4b
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
▶9.5b
(*.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))
50.3b
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
46.4b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
1.3b
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 3)) (sin.f64 th))
▶0.2b
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
48.7b
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
1.5b
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
30.3b
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
8.8b
(*.f64 (/.f64 (sin.f64 ky) (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 3))) (sin.f64 th))
50.2b
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
▶0.2b
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
0.2b
(/.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))))
1.3b
(*.f64 (sin.f64 ky) (*.f64 (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))))))
Compiler

Compiled 496 to 337 computations (32.1% saved)

localize14.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiled 36 to 9 computations (75% saved)

series9.0ms (0%)

Counts
2 → 60
Calls

15 calls:

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

rewrite66.0ms (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))))))

simplify71.0ms (0.2%)

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))))
(+.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 -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)))
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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)))
(*.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)))))
(-.f64 (fma.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) 2)) (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 (*.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 (/.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 kx) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th)) (-.f64 (fma.f64 (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)) (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))) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (fma.f64 1/4 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)) 1/12)))) (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 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)))
(*.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))))))
(+.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 (sin.f64 ky) (*.f64 th (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 (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)))))
(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 (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)))))) (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))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 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)))
(/.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)))))

localize4.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize12.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiled 25 to 8 computations (68% saved)

series11.0ms (0%)

Counts
2 → 44
Calls

15 calls:

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

rewrite75.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
118221
2235021
Stop Event
1×node limit
Counts
2 → 55
Calls
Call 1
Inputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (sin.f64 th) (sin.f64 kx))
Outputs
((#(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 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (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)) (sin.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 1) (sin.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (cbrt.f64 (pow.f64 (sin.f64 kx) 2))) (cbrt.f64 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (sin.f64 kx))) (sqrt.f64 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 ky)) (neg.f64 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))) (neg.f64 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (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 (sin.f64 kx) (sin.f64 th)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 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) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 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) (sin.f64 kx)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 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 kx) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.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 th) (sin.f64 kx)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 th) (/.f64 1 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 th) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) 2) (cbrt.f64 (/.f64 (sin.f64 th) (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 1 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) (sqrt.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 th)) (*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 1 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 th)) (/.f64 1 (neg.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 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)) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 th)) 1) (/.f64 (sqrt.f64 (sin.f64 th)) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 kx) 2))) (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (cbrt.f64 (pow.f64 (sin.f64 kx) 2))) (cbrt.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 (pow.f64 (sin.f64 kx) 2))) (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (sqrt.f64 (sin.f64 kx))) (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 th) (neg.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (sin.f64 kx) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))))))

simplify109.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
811×fma-neg_binary64
635×fma-def_binary64
589×distribute-rgt-in_binary64
454×associate-*l*_binary64
428×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0110994
1348963
21132911
34787827
Stop Event
1×node limit
Counts
99 → 95
Calls
Call 1
Inputs
(/.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))
(/.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 th (sin.f64 kx))
(+.f64 (/.f64 th (sin.f64 kx)) (*.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 kx))))
(+.f64 (/.f64 th (sin.f64 kx)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 kx))) (*.f64 1/120 (/.f64 (pow.f64 th 5) (sin.f64 kx)))))
(+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 th 7) (sin.f64 kx))) (+.f64 (/.f64 th (sin.f64 kx)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 kx))) (*.f64 1/120 (/.f64 (pow.f64 th 5) (sin.f64 kx))))))
(/.f64 (sin.f64 th) kx)
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) kx)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (sin.f64 th)) (*.f64 1/120 (sin.f64 th))) (pow.f64 kx 3))) (/.f64 (sin.f64 th) kx)))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) kx)) (+.f64 (*.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 kx 5))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (sin.f64 th)) (*.f64 1/120 (sin.f64 th))) (pow.f64 kx 3))) (/.f64 (sin.f64 th) kx))))
Outputs
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(+.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))))
(fma.f64 -1/6 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (pow.f64 ky 3)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)))
(fma.f64 -1/6 (*.f64 (pow.f64 ky 3) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 ky (*.f64 -1/6 (pow.f64 ky 3))))
(+.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)) (fma.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) (/.f64 (sin.f64 kx) ky)) (fma.f64 1/120 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (pow.f64 ky 5)) (/.f64 (*.f64 (*.f64 -1/6 (sin.f64 th)) (pow.f64 ky 3)) (sin.f64 kx))))
(fma.f64 -1/6 (*.f64 (pow.f64 ky 3) (/.f64 (sin.f64 th) (sin.f64 kx))) (fma.f64 1/120 (*.f64 (pow.f64 ky 5) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(fma.f64 -1/6 (*.f64 (pow.f64 ky 3) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 ky (*.f64 1/120 (pow.f64 ky 5)))))
(+.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 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (fma.f64 -1/5040 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (pow.f64 ky 7))) (fma.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) (/.f64 (sin.f64 kx) ky)) (fma.f64 -1/5040 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (pow.f64 ky 7)) (fma.f64 1/120 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (pow.f64 ky 5)) (/.f64 (*.f64 (*.f64 -1/6 (sin.f64 th)) (pow.f64 ky 3)) (sin.f64 kx)))))
(fma.f64 -1/5040 (*.f64 (pow.f64 ky 7) (/.f64 (sin.f64 th) (sin.f64 kx))) (fma.f64 -1/6 (*.f64 (pow.f64 ky 3) (/.f64 (sin.f64 th) (sin.f64 kx))) (fma.f64 1/120 (*.f64 (pow.f64 ky 5) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))))
(+.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 ky (*.f64 -1/6 (pow.f64 ky 3)))) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (*.f64 1/120 (pow.f64 ky 5)) (*.f64 -1/5040 (pow.f64 ky 7)))))
(/.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 ky) (sin.f64 kx)) (sin.f64 th))
(/.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 ky) (sin.f64 kx)) (sin.f64 th))
(/.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 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
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(+.f64 (/.f64 (sin.f64 th) kx) (*.f64 (sin.f64 th) (-.f64 (*.f64 kx 1/6) (*.f64 (pow.f64 kx 3) -7/360))))
(+.f64 (/.f64 (sin.f64 th) kx) (*.f64 (sin.f64 th) (fma.f64 kx 1/6 (*.f64 (pow.f64 kx 3) 7/360))))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) kx)) (+.f64 (*.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 kx 5))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (sin.f64 th)) (*.f64 1/120 (sin.f64 th))) (pow.f64 kx 3))) (/.f64 (sin.f64 th) kx))))
(fma.f64 1/6 (*.f64 (sin.f64 th) kx) (fma.f64 -1 (*.f64 (pow.f64 kx 5) (fma.f64 1/6 (*.f64 (sin.f64 th) -7/360) (*.f64 (sin.f64 th) 1/840))) (fma.f64 -1 (*.f64 (pow.f64 kx 3) (*.f64 (sin.f64 th) -7/360)) (/.f64 (sin.f64 th) kx))))
(fma.f64 1/6 (*.f64 (sin.f64 th) kx) (-.f64 (-.f64 (/.f64 (sin.f64 th) kx) (*.f64 (sin.f64 th) (*.f64 -7/360 (pow.f64 kx 3)))) (*.f64 (pow.f64 kx 5) (fma.f64 (sin.f64 th) 1/840 (*.f64 (sin.f64 th) -7/2160)))))
(+.f64 (*.f64 (sin.f64 th) (-.f64 (*.f64 kx 1/6) (*.f64 (pow.f64 kx 3) -7/360))) (-.f64 (/.f64 (sin.f64 th) kx) (*.f64 (pow.f64 kx 5) (*.f64 (sin.f64 th) -31/15120))))
(+.f64 (*.f64 (sin.f64 th) (fma.f64 kx 1/6 (*.f64 (pow.f64 kx 3) 7/360))) (fma.f64 (pow.f64 kx 5) (*.f64 (sin.f64 th) 31/15120) (/.f64 (sin.f64 th) kx)))

localize14.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiled 36 to 9 computations (75% saved)

series15.0ms (0%)

Counts
3 → 84
Calls

21 calls:

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

rewrite99.0ms (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
01039
120939
2283539
Stop Event
1×node limit
Counts
3 → 134
Calls
Call 1
Inputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(hypot.f64 (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 kx) (sin.f64 ky)))))))) (#(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 kx) (sin.f64 ky))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))))) (#(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 kx) (sin.f64 ky)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule 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(sin.f64 kx) (sin.f64 ky))))))))) (#(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 kx) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 th)) (/.f64 1 (/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (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 kx) (sin.f64 ky)) 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(sin.f64 th)) 2) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) 2)) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) 2)) (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) -1/2) (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (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 kx) (sin.f64 ky)) (sin.f64 ky)))) (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) 1) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (neg.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 1) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (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 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (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 kx) (sin.f64 ky)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 2) 1/2)))) (#(struct:change #<rule 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#<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 1 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 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(sin.f64 ky)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) 1) 1))))))
((#(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 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 2)) (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 (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 (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 (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 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 pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 2)) (cbrt.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sqrt.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 2))))) (#(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 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 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) 2))))) (#(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 (*.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 1) 1))))))

simplify82.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
826×fma-def_binary64
696×associate-*r*_binary64
666×associate-*l*_binary64
426×times-frac_binary64
399×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02033206
16232870
221012693
Stop Event
1×node limit
Counts
218 → 191
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)))
(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 (*.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)))
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)))
(/.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)))
(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)))
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 (sin.f64 ky) (*.f64 (pow.f64 th 5) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))))) (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 (sin.f64 ky) (*.f64 (pow.f64 th 5) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))))) (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 (*.f64 (pow.f64 th 3) -1/6) (*.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 th (*.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)))
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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)))
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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)))
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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 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)))
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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 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)))
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(*.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)))
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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 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 (*.f64 (sin.f64 th) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) 2)) (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 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3))))) (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) (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 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (*.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 -1/4 (/.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 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3))))) (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 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3))))) (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 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (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 (-.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 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (*.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 (*.f64 1/2 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (*.f64 1/4 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3))))) (pow.f64 kx 6))) (*.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (*.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 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (*.f64 kx kx)) (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 (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)) (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)))) (/.f64 1/4 (/.f64 (/.f64 (pow.f64 (sin.f64 ky) 4) (sin.f64 th)) (+.f64 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)) 1/3))))) (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 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 (*.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 (*.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 (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)))
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(fma.f64 (-.f64 (*.f64 1/120 (/.f64 (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 (-.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)))
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(*.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)))
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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)))
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(*.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)))
1
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(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)
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(fma.f64 -1/2 (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (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))
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(*.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))
(/.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))))
(+.f64 (/.f64 (sin.f64 kx) ky) (fma.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))) ky (*.f64 (pow.f64 ky 3) (-.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 (/.f64 (sin.f64 kx) ky) (fma.f64 (pow.f64 ky 3) (-.f64 (/.f64 (+.f64 -1/6 (*.f64 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/2)) (sin.f64 kx)) (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 (+.f64 -1/6 (*.f64 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/2)) (pow.f64 (sin.f64 kx) 3)))) (fma.f64 (sin.f64 kx) -1/5040 (fma.f64 -1/6 (-.f64 (/.f64 (+.f64 -1/6 (*.f64 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/2)) (sin.f64 kx)) (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 (+.f64 -1/6 (*.f64 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/2)) (sin.f64 kx)) (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 1/4 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 kx)) (fma.f64 -1/6 (-.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))
(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 -1/2 (/.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)))
(+.f64 (sin.f64 ky) (fma.f64 1/2 (*.f64 (/.f64 kx (sin.f64 ky)) kx) (/.f64 (fma.f64 -1/2 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)) -1/6) (/.f64 (sin.f64 ky) (pow.f64 kx 4)))))
(+.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))))
(fma.f64 1/2 (fma.f64 (/.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))) (sin.f64 ky)) (pow.f64 kx 6) (*.f64 (/.f64 kx (sin.f64 ky)) kx)) (+.f64 (sin.f64 ky) (/.f64 (fma.f64 -1/2 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)) -1/6) (/.f64 (sin.f64 ky) (pow.f64 kx 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))
(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 ky (/.f64 (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 ky (/.f64 (sin.f64 kx) ky)) (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 (fma.f64 1/2 (/.f64 (*.f64 ky ky) (sin.f64 kx)) (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)))
(+.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 ky (/.f64 (sin.f64 kx) ky)) (sin.f64 kx)) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 2/45 (sin.f64 kx)) (/.f64 (+.f64 -1/6 (*.f64 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/2)) (pow.f64 (sin.f64 kx) 3))) (pow.f64 ky 6)) (/.f64 (+.f64 -1/6 (*.f64 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/2)) (/.f64 (sin.f64 kx) (pow.f64 ky 4)))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 ky ky) (sin.f64 kx)) (sin.f64 kx)) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 2/45 (sin.f64 kx)) (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6) (pow.f64 (sin.f64 kx) 3))) (pow.f64 ky 6)) (*.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))

localize37.0ms (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)
✓1.4b
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx))))
✓7.0b
(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)

series25.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
8.0ms
kx
@-inf
(sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) 2)))
4.0ms
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
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) 2))))

rewrite76.0ms (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))))))
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((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 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(#(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))))))

simplify117.0ms (0.3%)

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))))))
(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 (*.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)))
(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 (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)))
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(fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))
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(fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))
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(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))
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(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx)))))
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(*.f64 ky (sqrt.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 (*.f64 kx -2)) 1/2))))
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(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 16728 to 8131 computations (51.4% saved)

prune194.0ms (0.4%)

Pruning

40 alts after pruning (36 fresh and 4 done)

PrunedKeptTotal
New61734651
Fresh10212
Picked101
Done145
Total62940669
Error
0b
Counts
669 → 40
Alt Table
Click to see full alt table
StatusErrorProgram
✓46.4b
(sin.f64 th)
55.4b
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))
▶0.3b
(/.f64 (sin.f64 th) (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) -1))
1.6b
(*.f64 (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 (sin.f64 th) (/.f64 1 (sin.f64 ky))))
45.5b
(/.f64 (sin.f64 th) (fma.f64 1/2 (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) 1))
50.7b
(*.f64 (fma.f64 -1/2 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)) 1) (sin.f64 th))
55.4b
(*.f64 (sin.f64 ky) (+.f64 (/.f64 th (sin.f64 kx)) (*.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 kx)))))
▶54.9b
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
48.7b
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)))
48.9b
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
55.0b
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
55.1b
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
54.1b
(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
54.5b
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))) 3))
48.7b
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
45.6b
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 th))
▶40.4b
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (*.f64 ky ky)))) (sin.f64 th))
48.9b
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
46.4b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
48.7b
(*.f64 (sin.f64 ky) (pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) -1))
0.3b
(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 1 (sin.f64 ky))))
16.6b
(*.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 1) (sin.f64 th))
49.4b
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky)))
30.3b
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
54.8b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
▶50.7b
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 ky (*.f64 -1/6 (pow.f64 ky 3))))
48.0b
(*.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) (sin.f64 ky)) kx)
48.7b
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
50.2b
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
50.1b
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
56.8b
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx)))
50.3b
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
50.2b
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
54.3b
(exp.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))
1.5b
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓0.2b
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
✓0.2b
(*.f64 (/.f64 (sin.f64 ky) (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))))
56.1b
(*.f64 (sin.f64 ky) (exp.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
Compiler

Compiled 1073 to 779 computations (27.4% saved)

localize19.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓0.1b
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
✓0.2b
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) -1)
✓0.2b
(/.f64 (sin.f64 th) (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) -1))
Compiler

Compiled 49 to 14 computations (71.4% saved)

series14.0ms (0%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
2.0ms
ky
@0
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) -1)
1.0ms
kx
@0
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) -1)
1.0ms
ky
@inf
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) -1)
1.0ms
ky
@-inf
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) -1)
1.0ms
kx
@-inf
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) -1)

rewrite95.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
602×log-prod_binary64
325×pow2_binary64
322×pow-prod-down_binary64
226×pow1/3_binary64
222×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01250
124944
2318944
Stop Event
1×node limit
Counts
3 → 129
Calls
Call 1
Inputs
(/.f64 (sin.f64 th) (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) -1))
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) -1)
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
Outputs
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(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) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) -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 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) -2)))) (#(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 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))))))

simplify95.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
825×distribute-rgt-in_binary64
807×distribute-lft-in_binary64
479×times-frac_binary64
244×fma-def_binary64
212×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02394236
18013996
232303816
Stop Event
1×node limit
Counts
213 → 184
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 (pow.f64 (sin.f64 kx) 2) (*.f64 ky (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sin.f64 kx) 3))) (*.f64 1/6 (/.f64 1 (sin.f64 kx)))))))
(+.f64 (/.f64 (sin.f64 kx) ky) (+.f64 (*.f64 (pow.f64 (sin.f64 kx) 2) (*.f64 ky (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sin.f64 kx) 3))) (*.f64 1/6 (/.f64 1 (sin.f64 kx)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 kx) 2) (-.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)))))) (*.f64 -1 (*.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sin.f64 kx) 3))) (*.f64 1/6 (/.f64 1 (sin.f64 kx)))) 2)))) (pow.f64 ky 3)))))
(+.f64 (/.f64 (sin.f64 kx) ky) (+.f64 (*.f64 (pow.f64 (sin.f64 kx) 2) (*.f64 ky (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sin.f64 kx) 3))) (*.f64 1/6 (/.f64 1 (sin.f64 kx)))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 kx) 2) (-.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)))))) (*.f64 -1 (*.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sin.f64 kx) 3))) (*.f64 1/6 (/.f64 1 (sin.f64 kx)))) 2)))) (*.f64 (sin.f64 kx) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sin.f64 kx) 3))) (*.f64 1/6 (/.f64 1 (sin.f64 kx)))))) (+.f64 (*.f64 (pow.f64 (sin.f64 kx) 3) (*.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))))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sin.f64 kx) 3))) (*.f64 1/6 (/.f64 1 (sin.f64 kx)))))) (*.f64 -1 (*.f64 (pow.f64 (sin.f64 kx) 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (+.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))) (+.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 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)))))))))) (pow.f64 ky 5))) (*.f64 -1 (*.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 kx) 2) (-.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)))))) (*.f64 -1 (*.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sin.f64 kx) 3))) (*.f64 1/6 (/.f64 1 (sin.f64 kx)))) 2)))) (pow.f64 ky 3))))))
(*.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 (*.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 (+.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)))))) (*.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 (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)))
(/.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 (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 (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 (+.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 (*.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 (sin.f64 ky) (*.f64 (pow.f64 th 5) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))) (fma.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 (*.f64 (sin.f64 ky) (pow.f64 th 3)) -1/6))))
(fma.f64 1/120 (*.f64 (sin.f64 ky) (*.f64 (pow.f64 th 5) (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 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)))))
(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 (sin.f64 ky) (*.f64 (pow.f64 th 5) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))) (fma.f64 -1/6 (*.f64 (sin.f64 ky) (*.f64 (pow.f64 th 3) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))) (fma.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 (*.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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 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 (*.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 (*.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 (/.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 (sin.f64 th) (sin.f64 kx)) ky))
(+.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 1/120 (/.f64 (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 (+.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 th) (sin.f64 kx))) (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 1/120 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.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 1/2 (*.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 (*.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 (sin.f64 th) (sin.f64 kx)) ky)))
(+.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 1/120 (/.f64 (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 1/120 (/.f64 (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 (+.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 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (fma.f64 1/2 (/.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (/.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))) (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (sin.f64 th) (sin.f64 kx))) (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 (/.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 (+.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 (/.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 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))))))) (pow.f64 ky 7)))
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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)))
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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)))
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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)))
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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)))
(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 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (*.f64 kx kx)) (sin.f64 th))
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(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 (*.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 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 (*.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 (*.f64 1/4 (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))) (pow.f64 (sin.f64 ky) 4)))) (pow.f64 kx 6)))))
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1
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(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 (*.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)))))
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(-.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 (pow.f64 (sin.f64 kx) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))))) (pow.f64 (sin.f64 kx) 3)) (fma.f64 1/2 (+.f64 (*.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)) (+.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 3)) (/.f64 1/6 (sin.f64 kx)))) (/.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 1/5040 (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 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(*.f64 (sin.f64 ky) (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)))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(*.f64 (sin.f64 ky) (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)))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(*.f64 (sin.f64 ky) (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)))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(*.f64 (sin.f64 ky) (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)))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(*.f64 (sin.f64 ky) (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)))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(*.f64 (sin.f64 ky) (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)))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(*.f64 (sin.f64 ky) (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)))) (sin.f64 ky))
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(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 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)
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(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 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)))) 1))
(fma.f64 -1/2 (/.f64 kx (/.f64 (pow.f64 (sin.f64 ky) 2) kx)) (fma.f64 (pow.f64 kx 4) (+.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)))) 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))))))
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(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 ky))
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(*.f64 (sin.f64 ky) (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)))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(*.f64 (sin.f64 ky) (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)))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(*.f64 (sin.f64 ky) (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)))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(*.f64 (sin.f64 ky) (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)))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(*.f64 (sin.f64 ky) (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)))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))))

localize11.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiled 22 to 7 computations (68.2% saved)

series10.0ms (0%)

Counts
2 → 44
Calls

15 calls:

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

rewrite59.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
871×pow1_binary64
800×add-log-exp_binary64
800×log1p-expm1-u_binary64
800×expm1-log1p-u_binary64
781×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
116319
2212019
Stop Event
1×node limit
Counts
2 → 53
Calls
Call 1
Inputs
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (sin.f64 kx))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 kx) (*.f64 th (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 th (sin.f64 ky))) (neg.f64 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 th (sin.f64 ky)) 1) (sin.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 th (sin.f64 ky)) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (cbrt.f64 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (sin.f64 kx))) (sqrt.f64 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 ky)) th) (neg.f64 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 th (neg.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 th 3) (pow.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) 3) (pow.f64 th 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 ky) (sin.f64 kx))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 ky) (/.f64 1 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 ky) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) 2) (cbrt.f64 (/.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 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (/.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 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 ky)) (/.f64 1 (neg.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (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)) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) 1) (/.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (/.f64 (sin.f64 ky) (cbrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (pow.f64 (cbrt.f64 (sin.f64 kx)) 2)) (cbrt.f64 (/.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 (sin.f64 kx)) 2)) (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (sqrt.f64 (sin.f64 kx))) (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.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) (sin.f64 kx))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.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 (sin.f64 kx) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))))))))

simplify50.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
591×distribute-rgt-in_binary64
589×fma-def_binary64
563×distribute-lft-in_binary64
483×fma-neg_binary64
349×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
094779
1289765
2914729
33813695
Stop Event
1×node limit
Counts
97 → 84
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 th (pow.f64 ky 3)) (sin.f64 kx))) (/.f64 (*.f64 th ky) (sin.f64 kx)))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 th (pow.f64 ky 3)) (sin.f64 kx))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 th (pow.f64 ky 5)) (sin.f64 kx))) (/.f64 (*.f64 th ky) (sin.f64 kx))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 th (pow.f64 ky 3)) (sin.f64 kx))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 th (pow.f64 ky 5)) (sin.f64 kx))) (+.f64 (*.f64 -1/5040 (/.f64 (*.f64 th (pow.f64 ky 7)) (sin.f64 kx))) (/.f64 (*.f64 th ky) (sin.f64 kx)))))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) kx)
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) (*.f64 th kx))) (/.f64 (*.f64 (sin.f64 ky) th) kx))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 ky) th)) (*.f64 -1/36 (*.f64 (sin.f64 ky) th))) (pow.f64 kx 3))) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) (*.f64 th kx))) (/.f64 (*.f64 (sin.f64 ky) th) kx)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 ky) th)) (*.f64 -1/36 (*.f64 (sin.f64 ky) th))) (pow.f64 kx 3))) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) (*.f64 th kx))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 ky) th)) (*.f64 -1/36 (*.f64 (sin.f64 ky) th)))) (+.f64 (*.f64 1/720 (*.f64 (sin.f64 ky) th)) (*.f64 -1/5040 (*.f64 (sin.f64 ky) th)))) (pow.f64 kx 5))) (/.f64 (*.f64 (sin.f64 ky) th) kx))))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 ky (sin.f64 kx))
(+.f64 (/.f64 ky (sin.f64 kx)) (*.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 kx))))
(+.f64 (/.f64 ky (sin.f64 kx)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 ky 5) (sin.f64 kx))) (*.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 kx)))))
(+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 ky 7) (sin.f64 kx))) (+.f64 (/.f64 ky (sin.f64 kx)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 ky 5) (sin.f64 kx))) (*.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 kx))))))
(/.f64 (sin.f64 ky) kx)
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) kx)) (/.f64 (sin.f64 ky) kx))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (sin.f64 ky)) (*.f64 1/120 (sin.f64 ky))) (pow.f64 kx 3))) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) kx)) (/.f64 (sin.f64 ky) kx)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (sin.f64 ky)) (*.f64 1/120 (sin.f64 ky))) (pow.f64 kx 3))) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) kx)) (+.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 kx 5))) (/.f64 (sin.f64 ky) kx))))
Outputs
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 th (pow.f64 ky 3)) (sin.f64 kx))) (/.f64 (*.f64 th ky) (sin.f64 kx)))
(fma.f64 -1/6 (/.f64 th (/.f64 (sin.f64 kx) (pow.f64 ky 3))) (/.f64 ky (/.f64 (sin.f64 kx) th)))
(fma.f64 -1/6 (*.f64 (/.f64 th (sin.f64 kx)) (pow.f64 ky 3)) (*.f64 (/.f64 ky (sin.f64 kx)) th))
(fma.f64 -1/6 (*.f64 (pow.f64 ky 3) (/.f64 th (sin.f64 kx))) (*.f64 ky (/.f64 th (sin.f64 kx))))
(*.f64 (/.f64 th (sin.f64 kx)) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 th (pow.f64 ky 3)) (sin.f64 kx))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 th (pow.f64 ky 5)) (sin.f64 kx))) (/.f64 (*.f64 th ky) (sin.f64 kx))))
(fma.f64 -1/6 (/.f64 th (/.f64 (sin.f64 kx) (pow.f64 ky 3))) (fma.f64 1/120 (/.f64 th (/.f64 (sin.f64 kx) (pow.f64 ky 5))) (/.f64 ky (/.f64 (sin.f64 kx) th))))
(fma.f64 -1/6 (*.f64 (/.f64 th (sin.f64 kx)) (pow.f64 ky 3)) (fma.f64 1/120 (*.f64 (/.f64 th (sin.f64 kx)) (pow.f64 ky 5)) (*.f64 (/.f64 ky (sin.f64 kx)) th)))
(fma.f64 -1/6 (*.f64 (pow.f64 ky 3) (/.f64 th (sin.f64 kx))) (fma.f64 1/120 (*.f64 (pow.f64 ky 5) (/.f64 th (sin.f64 kx))) (*.f64 ky (/.f64 th (sin.f64 kx)))))
(fma.f64 (/.f64 ky (sin.f64 kx)) th (*.f64 (/.f64 th (sin.f64 kx)) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) (*.f64 1/120 (pow.f64 ky 5)))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 th (pow.f64 ky 3)) (sin.f64 kx))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 th (pow.f64 ky 5)) (sin.f64 kx))) (+.f64 (*.f64 -1/5040 (/.f64 (*.f64 th (pow.f64 ky 7)) (sin.f64 kx))) (/.f64 (*.f64 th ky) (sin.f64 kx)))))
(fma.f64 -1/6 (/.f64 th (/.f64 (sin.f64 kx) (pow.f64 ky 3))) (fma.f64 1/120 (/.f64 th (/.f64 (sin.f64 kx) (pow.f64 ky 5))) (fma.f64 -1/5040 (/.f64 (*.f64 th (pow.f64 ky 7)) (sin.f64 kx)) (/.f64 ky (/.f64 (sin.f64 kx) th)))))
(fma.f64 -1/6 (*.f64 (/.f64 th (sin.f64 kx)) (pow.f64 ky 3)) (fma.f64 1/120 (*.f64 (/.f64 th (sin.f64 kx)) (pow.f64 ky 5)) (fma.f64 -1/5040 (*.f64 (/.f64 th (sin.f64 kx)) (pow.f64 ky 7)) (*.f64 (/.f64 ky (sin.f64 kx)) th))))
(fma.f64 -1/6 (*.f64 (pow.f64 ky 3) (/.f64 th (sin.f64 kx))) (fma.f64 1/120 (*.f64 (pow.f64 ky 5) (/.f64 th (sin.f64 kx))) (fma.f64 -1/5040 (*.f64 (pow.f64 ky 7) (/.f64 th (sin.f64 kx))) (*.f64 ky (/.f64 th (sin.f64 kx))))))
(+.f64 (*.f64 (/.f64 th (sin.f64 kx)) (+.f64 ky (*.f64 -1/5040 (pow.f64 ky 7)))) (*.f64 (/.f64 th (sin.f64 kx)) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) (*.f64 1/120 (pow.f64 ky 5)))))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) kx)
(/.f64 (sin.f64 ky) (/.f64 kx th))
(*.f64 th (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 th kx) (sin.f64 ky))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) (*.f64 th kx))) (/.f64 (*.f64 (sin.f64 ky) th) kx))
(fma.f64 1/6 (*.f64 (sin.f64 ky) (*.f64 th kx)) (/.f64 (sin.f64 ky) (/.f64 kx th)))
(fma.f64 1/6 (*.f64 (sin.f64 ky) (*.f64 th kx)) (/.f64 (*.f64 (sin.f64 ky) th) kx))
(*.f64 th (fma.f64 (sin.f64 ky) (*.f64 kx 1/6) (/.f64 (sin.f64 ky) kx)))
(*.f64 (sin.f64 ky) (+.f64 (/.f64 th kx) (*.f64 th (*.f64 kx 1/6))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 ky) th)) (*.f64 -1/36 (*.f64 (sin.f64 ky) th))) (pow.f64 kx 3))) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) (*.f64 th kx))) (/.f64 (*.f64 (sin.f64 ky) th) kx)))
(fma.f64 -1 (*.f64 (*.f64 (*.f64 (sin.f64 ky) th) -7/360) (pow.f64 kx 3)) (fma.f64 1/6 (*.f64 (sin.f64 ky) (*.f64 th kx)) (/.f64 (sin.f64 ky) (/.f64 kx th))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 ky) (*.f64 th kx)) (/.f64 (*.f64 (sin.f64 ky) th) kx)) (*.f64 (*.f64 (sin.f64 ky) th) (*.f64 -7/360 (pow.f64 kx 3))))
(fma.f64 (pow.f64 kx 3) (*.f64 th (*.f64 (sin.f64 ky) 7/360)) (*.f64 th (fma.f64 (sin.f64 ky) (*.f64 kx 1/6) (/.f64 (sin.f64 ky) kx))))
(*.f64 th (+.f64 (/.f64 (sin.f64 ky) kx) (*.f64 (sin.f64 ky) (-.f64 (*.f64 kx 1/6) (*.f64 (pow.f64 kx 3) -7/360)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 ky) th)) (*.f64 -1/36 (*.f64 (sin.f64 ky) th))) (pow.f64 kx 3))) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) (*.f64 th kx))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 1/120 (*.f64 (sin.f64 ky) th)) (*.f64 -1/36 (*.f64 (sin.f64 ky) th)))) (+.f64 (*.f64 1/720 (*.f64 (sin.f64 ky) th)) (*.f64 -1/5040 (*.f64 (sin.f64 ky) th)))) (pow.f64 kx 5))) (/.f64 (*.f64 (sin.f64 ky) th) kx))))
(fma.f64 -1 (*.f64 (*.f64 (*.f64 (sin.f64 ky) th) -7/360) (pow.f64 kx 3)) (fma.f64 1/6 (*.f64 (sin.f64 ky) (*.f64 th kx)) (fma.f64 -1 (*.f64 (fma.f64 1/6 (*.f64 (*.f64 (sin.f64 ky) th) -7/360) (*.f64 (*.f64 (sin.f64 ky) th) 1/840)) (pow.f64 kx 5)) (/.f64 (sin.f64 ky) (/.f64 kx th)))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 ky) (*.f64 th kx)) (-.f64 (/.f64 (*.f64 (sin.f64 ky) th) kx) (*.f64 (fma.f64 (*.f64 (sin.f64 ky) th) 1/840 (*.f64 (*.f64 (sin.f64 ky) th) -7/2160)) (pow.f64 kx 5)))) (*.f64 (*.f64 (sin.f64 ky) th) (*.f64 -7/360 (pow.f64 kx 3))))
(fma.f64 (pow.f64 kx 3) (*.f64 th (*.f64 (sin.f64 ky) 7/360)) (fma.f64 (*.f64 (*.f64 (sin.f64 ky) th) -31/15120) (neg.f64 (pow.f64 kx 5)) (*.f64 th (fma.f64 (sin.f64 ky) (*.f64 kx 1/6) (/.f64 (sin.f64 ky) kx)))))
(+.f64 (*.f64 th (+.f64 (/.f64 (sin.f64 ky) kx) (*.f64 (sin.f64 ky) (-.f64 (*.f64 kx 1/6) (*.f64 (pow.f64 kx 3) -7/360))))) (*.f64 (pow.f64 kx 5) (*.f64 (*.f64 (sin.f64 ky) th) 31/15120)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 ky (sin.f64 kx))
(+.f64 (/.f64 ky (sin.f64 kx)) (*.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 kx))))
(+.f64 (/.f64 ky (sin.f64 kx)) (/.f64 (*.f64 -1/6 (pow.f64 ky 3)) (sin.f64 kx)))
(fma.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 kx)) (/.f64 ky (sin.f64 kx)))
(+.f64 (/.f64 ky (sin.f64 kx)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 ky 5) (sin.f64 kx))) (*.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 kx)))))
(+.f64 (/.f64 ky (sin.f64 kx)) (fma.f64 1/120 (/.f64 (pow.f64 ky 5) (sin.f64 kx)) (/.f64 (*.f64 -1/6 (pow.f64 ky 3)) (sin.f64 kx))))
(+.f64 (/.f64 ky (sin.f64 kx)) (fma.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 kx)) (*.f64 1/120 (/.f64 (pow.f64 ky 5) (sin.f64 kx)))))
(fma.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 kx)) (fma.f64 1/120 (/.f64 (pow.f64 ky 5) (sin.f64 kx)) (/.f64 ky (sin.f64 kx))))
(+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 ky 7) (sin.f64 kx))) (+.f64 (/.f64 ky (sin.f64 kx)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 ky 5) (sin.f64 kx))) (*.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 kx))))))
(fma.f64 -1/5040 (/.f64 (pow.f64 ky 7) (sin.f64 kx)) (+.f64 (/.f64 ky (sin.f64 kx)) (fma.f64 1/120 (/.f64 (pow.f64 ky 5) (sin.f64 kx)) (/.f64 (*.f64 -1/6 (pow.f64 ky 3)) (sin.f64 kx)))))
(+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 kx)) (*.f64 1/120 (/.f64 (pow.f64 ky 5) (sin.f64 kx)))) (fma.f64 -1/5040 (/.f64 (pow.f64 ky 7) (sin.f64 kx)) (/.f64 ky (sin.f64 kx))))
(fma.f64 -1/5040 (/.f64 (pow.f64 ky 7) (sin.f64 kx)) (fma.f64 -1/6 (/.f64 (pow.f64 ky 3) (sin.f64 kx)) (fma.f64 1/120 (/.f64 (pow.f64 ky 5) (sin.f64 kx)) (/.f64 ky (sin.f64 kx)))))
(/.f64 (sin.f64 ky) kx)
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) kx)) (/.f64 (sin.f64 ky) kx))
(fma.f64 1/6 (*.f64 (sin.f64 ky) kx) (/.f64 (sin.f64 ky) kx))
(fma.f64 (sin.f64 ky) (*.f64 kx 1/6) (/.f64 (sin.f64 ky) kx))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (sin.f64 ky)) (*.f64 1/120 (sin.f64 ky))) (pow.f64 kx 3))) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) kx)) (/.f64 (sin.f64 ky) kx)))
(fma.f64 -1 (*.f64 (pow.f64 kx 3) (*.f64 (sin.f64 ky) -7/360)) (fma.f64 1/6 (*.f64 (sin.f64 ky) kx) (/.f64 (sin.f64 ky) kx)))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 ky) kx) (/.f64 (sin.f64 ky) kx)) (*.f64 (sin.f64 ky) (*.f64 -7/360 (pow.f64 kx 3))))
(fma.f64 (sin.f64 ky) (*.f64 kx 1/6) (fma.f64 (pow.f64 kx 3) (*.f64 (sin.f64 ky) 7/360) (/.f64 (sin.f64 ky) kx)))
(+.f64 (/.f64 (sin.f64 ky) kx) (*.f64 (sin.f64 ky) (-.f64 (*.f64 kx 1/6) (*.f64 (pow.f64 kx 3) -7/360))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (sin.f64 ky)) (*.f64 1/120 (sin.f64 ky))) (pow.f64 kx 3))) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) kx)) (+.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 kx 5))) (/.f64 (sin.f64 ky) kx))))
(fma.f64 -1 (*.f64 (pow.f64 kx 3) (*.f64 (sin.f64 ky) -7/360)) (fma.f64 1/6 (*.f64 (sin.f64 ky) kx) (fma.f64 -1 (*.f64 (pow.f64 kx 5) (fma.f64 1/6 (*.f64 (sin.f64 ky) -7/360) (*.f64 (sin.f64 ky) 1/840))) (/.f64 (sin.f64 ky) kx))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 ky) kx) (-.f64 (/.f64 (sin.f64 ky) kx) (*.f64 (pow.f64 kx 5) (fma.f64 (sin.f64 ky) 1/840 (*.f64 (sin.f64 ky) -7/2160))))) (*.f64 (sin.f64 ky) (*.f64 -7/360 (pow.f64 kx 3))))
(-.f64 (fma.f64 (sin.f64 ky) (*.f64 kx 1/6) (fma.f64 (pow.f64 kx 3) (*.f64 (sin.f64 ky) 7/360) (/.f64 (sin.f64 ky) kx))) (*.f64 (pow.f64 kx 5) (*.f64 (sin.f64 ky) -31/15120)))
(+.f64 (fma.f64 (pow.f64 kx 5) (*.f64 (sin.f64 ky) 31/15120) (/.f64 (sin.f64 ky) kx)) (*.f64 (sin.f64 ky) (-.f64 (*.f64 kx 1/6) (*.f64 (pow.f64 kx 3) -7/360))))

localize12.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (sin.f64 th) (sin.f64 ky))
✓1.5b
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
Compiler

Compiled 22 to 7 computations (68.2% saved)

series7.0ms (0%)

Counts
2 → 16
Calls

15 calls:

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

rewrite61.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
474×log-prod_binary64
373×exp-prod_binary64
297×prod-diff_binary64
271×pow-prod-down_binary64
241×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
117019
2241919
Stop Event
1×node limit
Counts
2 → 91
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(*.f64 (sin.f64 th) (sin.f64 ky))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 th) (/.f64 1 (/.f64 kx (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 1 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (/.f64 1 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 1 kx))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 kx (sin.f64 th)) (sin.f64 ky)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 kx (sin.f64 th)) (sin.f64 ky)) -2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (/.f64 1 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))) (sqrt.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (*.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (/.f64 1 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))) (/.f64 1 (neg.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 kx) (*.f64 (sin.f64 th) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) 1) (/.f64 (sin.f64 ky) kx))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) 1) (/.f64 (sin.f64 th) kx))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) kx))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) kx))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 kx) 2)) (/.f64 (sin.f64 ky) (cbrt.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 kx) 2)) (/.f64 (sin.f64 th) (cbrt.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 kx) -2) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (cbrt.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) 2) (pow.f64 (cbrt.f64 kx) 2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (pow.f64 (cbrt.f64 kx) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (cbrt.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (sqrt.f64 kx)) (/.f64 (sin.f64 ky) (sqrt.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) (sqrt.f64 kx)) (/.f64 (sin.f64 th) (sqrt.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 kx -1/2) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) 2) (sqrt.f64 kx)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 kx (sin.f64 th)) (sin.f64 ky)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 kx (sin.f64 th)) (sin.f64 ky)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 kx (sin.f64 th)) (sin.f64 ky)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 3) (pow.f64 kx 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 kx (sin.f64 th)) (sin.f64 ky)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (neg.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 kx (sin.f64 th)) (sin.f64 ky)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 kx (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 kx 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 kx (sin.f64 th)) (sin.f64 ky)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 kx (sin.f64 th)) (sin.f64 ky))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 th)) 1) (log.f64 (/.f64 kx (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) 1) (log.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (*.f64 (log.f64 kx) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) 1) (*.f64 (log.f64 kx) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 th) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (sin.f64 th))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (sin.f64 th)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (-.f64 th ky)) 2) (/.f64 (cos.f64 (+.f64 th ky)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky)))) -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 pow.f64 (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 2) 1/2)))) (#(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 (exp.f64 1) (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))) 2)) (cbrt.f64 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky))))) (sqrt.f64 (log.f64 (*.f64 (sin.f64 th) (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 (pow.f64 (exp.f64 (sin.f64 ky)) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.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 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))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) 1) 1))))))

simplify93.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
672×unswap-sqr_binary64
476×associate-/l/_binary64
437×associate-*l*_binary64
433×associate-*r*_binary64
416×distribute-rgt-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
064450
1195448
2529424
31701364
44326336
56106336
66801336
77884336
Stop Event
1×node limit
Counts
107 → 122
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 ky) th) kx)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) kx)) (/.f64 (*.f64 (sin.f64 ky) th) kx))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) kx)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 5)) kx)) (/.f64 (*.f64 (sin.f64 ky) th) kx)))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 7)) kx)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) kx)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 5)) kx)) (/.f64 (*.f64 (sin.f64 ky) th) kx))))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(+.f64 (/.f64 (*.f64 (sin.f64 th) ky) kx) (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) kx)))
(+.f64 (/.f64 (*.f64 (sin.f64 th) ky) kx) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 5)) kx)) (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) kx))))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 7)) kx)) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) kx) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 5)) kx)) (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) kx)))))
(*.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) 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))))
Outputs
(/.f64 (*.f64 (sin.f64 ky) th) kx)
(/.f64 (sin.f64 ky) (/.f64 kx th))
(*.f64 th (/.f64 (sin.f64 ky) kx))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) kx)) (/.f64 (*.f64 (sin.f64 ky) th) kx))
(fma.f64 -1/6 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) kx) (/.f64 (*.f64 (sin.f64 ky) th) kx))
(fma.f64 -1/6 (*.f64 (/.f64 (sin.f64 ky) kx) (pow.f64 th 3)) (/.f64 (sin.f64 ky) (/.f64 kx th)))
(fma.f64 -1/6 (*.f64 (pow.f64 th 3) (/.f64 (sin.f64 ky) kx)) (*.f64 th (/.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) kx) (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) kx)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 5)) kx)) (/.f64 (*.f64 (sin.f64 ky) th) kx)))
(fma.f64 -1/6 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) kx) (fma.f64 1/120 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 5)) kx) (/.f64 (*.f64 (sin.f64 ky) th) kx)))
(fma.f64 -1/6 (*.f64 (/.f64 (sin.f64 ky) kx) (pow.f64 th 3)) (fma.f64 1/120 (*.f64 (/.f64 (sin.f64 ky) kx) (pow.f64 th 5)) (/.f64 (sin.f64 ky) (/.f64 kx th))))
(fma.f64 -1/6 (*.f64 (pow.f64 th 3) (/.f64 (sin.f64 ky) kx)) (fma.f64 1/120 (/.f64 (sin.f64 ky) (/.f64 kx (pow.f64 th 5))) (*.f64 th (/.f64 (sin.f64 ky) kx))))
(fma.f64 -1/6 (*.f64 (pow.f64 th 3) (/.f64 (sin.f64 ky) kx)) (*.f64 (/.f64 (sin.f64 ky) kx) (+.f64 th (*.f64 1/120 (pow.f64 th 5)))))
(*.f64 (/.f64 (sin.f64 ky) kx) (+.f64 (*.f64 -1/6 (pow.f64 th 3)) (+.f64 th (*.f64 1/120 (pow.f64 th 5)))))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 7)) kx)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) kx)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 5)) kx)) (/.f64 (*.f64 (sin.f64 ky) th) kx))))
(fma.f64 -1/5040 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 7)) kx) (fma.f64 -1/6 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) kx) (fma.f64 1/120 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 5)) kx) (/.f64 (*.f64 (sin.f64 ky) th) kx))))
(fma.f64 -1/5040 (/.f64 (sin.f64 ky) (/.f64 kx (pow.f64 th 7))) (fma.f64 -1/6 (*.f64 (/.f64 (sin.f64 ky) kx) (pow.f64 th 3)) (fma.f64 1/120 (*.f64 (/.f64 (sin.f64 ky) kx) (pow.f64 th 5)) (/.f64 (sin.f64 ky) (/.f64 kx th)))))
(fma.f64 -1/6 (*.f64 (pow.f64 th 3) (/.f64 (sin.f64 ky) kx)) (fma.f64 -1/5040 (*.f64 (pow.f64 th 7) (/.f64 (sin.f64 ky) kx)) (fma.f64 1/120 (/.f64 (sin.f64 ky) (/.f64 kx (pow.f64 th 5))) (*.f64 th (/.f64 (sin.f64 ky) kx)))))
(+.f64 (*.f64 (/.f64 (sin.f64 ky) kx) (+.f64 th (*.f64 -1/6 (pow.f64 th 3)))) (*.f64 (/.f64 (sin.f64 ky) kx) (+.f64 (*.f64 -1/5040 (pow.f64 th 7)) (*.f64 1/120 (pow.f64 th 5)))))
(*.f64 (/.f64 (sin.f64 ky) kx) (+.f64 th (+.f64 (*.f64 -1/5040 (pow.f64 th 7)) (+.f64 (*.f64 1/120 (pow.f64 th 5)) (*.f64 -1/6 (pow.f64 th 3))))))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(+.f64 (/.f64 (*.f64 (sin.f64 th) ky) kx) (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) kx)))
(+.f64 (/.f64 (sin.f64 th) (/.f64 kx ky)) (*.f64 -1/6 (/.f64 (sin.f64 th) (/.f64 kx (pow.f64 ky 3)))))
(fma.f64 -1/6 (/.f64 (sin.f64 th) (/.f64 kx (pow.f64 ky 3))) (/.f64 (sin.f64 th) (/.f64 kx ky)))
(fma.f64 -1/6 (*.f64 (pow.f64 ky 3) (/.f64 (sin.f64 th) kx)) (*.f64 ky (/.f64 (sin.f64 th) kx)))
(*.f64 (/.f64 (sin.f64 th) kx) (+.f64 ky (*.f64 -1/6 (pow.f64 ky 3))))
(+.f64 (/.f64 (*.f64 (sin.f64 th) ky) kx) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 5)) kx)) (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) kx))))
(+.f64 (/.f64 (sin.f64 th) (/.f64 kx ky)) (fma.f64 1/120 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 5)) kx) (*.f64 -1/6 (/.f64 (sin.f64 th) (/.f64 kx (pow.f64 ky 3))))))
(+.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (/.f64 kx (pow.f64 ky 3))) (/.f64 (sin.f64 th) (/.f64 kx ky))) (*.f64 1/120 (/.f64 (pow.f64 ky 5) (/.f64 kx (sin.f64 th)))))
(fma.f64 -1/6 (*.f64 (pow.f64 ky 3) (/.f64 (sin.f64 th) kx)) (fma.f64 1/120 (*.f64 (pow.f64 ky 5) (/.f64 (sin.f64 th) kx)) (*.f64 ky (/.f64 (sin.f64 th) kx))))
(fma.f64 -1/6 (*.f64 (sin.f64 th) (/.f64 (pow.f64 ky 3) kx)) (*.f64 (/.f64 (sin.f64 th) kx) (+.f64 ky (*.f64 1/120 (pow.f64 ky 5)))))
(*.f64 (/.f64 (sin.f64 th) kx) (+.f64 ky (+.f64 (*.f64 1/120 (pow.f64 ky 5)) (*.f64 -1/6 (pow.f64 ky 3)))))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 7)) kx)) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) kx) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 5)) kx)) (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) kx)))))
(fma.f64 -1/5040 (/.f64 (sin.f64 th) (/.f64 kx (pow.f64 ky 7))) (+.f64 (/.f64 (sin.f64 th) (/.f64 kx ky)) (fma.f64 1/120 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 5)) kx) (*.f64 -1/6 (/.f64 (sin.f64 th) (/.f64 kx (pow.f64 ky 3)))))))
(+.f64 (fma.f64 -1/6 (/.f64 (sin.f64 th) (/.f64 kx (pow.f64 ky 3))) (*.f64 1/120 (/.f64 (pow.f64 ky 5) (/.f64 kx (sin.f64 th))))) (fma.f64 -1/5040 (/.f64 (sin.f64 th) (/.f64 kx (pow.f64 ky 7))) (/.f64 (sin.f64 th) (/.f64 kx ky))))
(fma.f64 -1/5040 (*.f64 (pow.f64 ky 7) (/.f64 (sin.f64 th) kx)) (fma.f64 -1/6 (*.f64 (pow.f64 ky 3) (/.f64 (sin.f64 th) kx)) (fma.f64 1/120 (*.f64 (pow.f64 ky 5) (/.f64 (sin.f64 th) kx)) (*.f64 ky (/.f64 (sin.f64 th) kx)))))
(+.f64 (*.f64 (/.f64 (sin.f64 th) kx) (+.f64 ky (*.f64 -1/6 (pow.f64 ky 3)))) (*.f64 (/.f64 (sin.f64 th) kx) (+.f64 (*.f64 -1/5040 (pow.f64 ky 7)) (*.f64 1/120 (pow.f64 ky 5)))))
(*.f64 (/.f64 (sin.f64 th) kx) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) (+.f64 ky (+.f64 (*.f64 -1/5040 (pow.f64 ky 7)) (*.f64 1/120 (pow.f64 ky 5))))))
(*.f64 (sin.f64 ky) th)
(+.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 (sin.f64 ky) th))
(fma.f64 (*.f64 (sin.f64 ky) -1/6) (pow.f64 th 3) (*.f64 (sin.f64 ky) th))
(*.f64 (sin.f64 ky) (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))
(+.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 (sin.f64 ky) th (*.f64 (sin.f64 ky) (*.f64 (pow.f64 th 5) 1/120))))
(fma.f64 (sin.f64 ky) (*.f64 -1/6 (pow.f64 th 3)) (*.f64 (sin.f64 ky) (+.f64 (*.f64 1/120 (pow.f64 th 5)) th)))
(*.f64 (sin.f64 ky) (+.f64 th (+.f64 (*.f64 1/120 (pow.f64 th 5)) (*.f64 -1/6 (pow.f64 th 3)))))
(*.f64 (sin.f64 ky) (+.f64 (*.f64 -1/6 (pow.f64 th 3)) (+.f64 th (*.f64 1/120 (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))))))
(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 (sin.f64 ky) th (fma.f64 1/120 (*.f64 (sin.f64 ky) (pow.f64 th 5)) (*.f64 (sin.f64 ky) (*.f64 (pow.f64 th 7) -1/5040)))))
(+.f64 (*.f64 (sin.f64 ky) (+.f64 th (*.f64 -1/5040 (pow.f64 th 7)))) (*.f64 (sin.f64 ky) (+.f64 (*.f64 1/120 (pow.f64 th 5)) (*.f64 -1/6 (pow.f64 th 3)))))
(*.f64 (sin.f64 ky) (+.f64 (+.f64 th (*.f64 -1/6 (pow.f64 th 3))) (+.f64 (*.f64 -1/5040 (pow.f64 th 7)) (*.f64 1/120 (pow.f64 th 5)))))
(*.f64 (sin.f64 ky) (+.f64 th (+.f64 (*.f64 -1/5040 (pow.f64 th 7)) (+.f64 (*.f64 1/120 (pow.f64 th 5)) (*.f64 -1/6 (pow.f64 th 3))))))
(*.f64 (sin.f64 th) ky)
(*.f64 ky (sin.f64 th))
(+.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 ky (sin.f64 th)))
(fma.f64 (*.f64 -1/6 (sin.f64 th)) (pow.f64 ky 3) (*.f64 ky (sin.f64 th)))
(*.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 ky (sin.f64 th))))
(fma.f64 (*.f64 1/120 (sin.f64 th)) (pow.f64 ky 5) (fma.f64 (*.f64 -1/6 (sin.f64 th)) (pow.f64 ky 3) (*.f64 ky (sin.f64 th))))
(fma.f64 ky (sin.f64 th) (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) (*.f64 1/120 (pow.f64 ky 5)))))
(*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) (+.f64 ky (*.f64 1/120 (pow.f64 ky 5)))))
(*.f64 (sin.f64 th) (+.f64 ky (+.f64 (*.f64 1/120 (pow.f64 ky 5)) (*.f64 -1/6 (pow.f64 ky 3)))))
(+.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 ky (sin.f64 th)))))
(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 (*.f64 -1/6 (sin.f64 th)) (pow.f64 ky 3) (*.f64 ky (sin.f64 th)))))
(+.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) (+.f64 (+.f64 (*.f64 1/120 (pow.f64 ky 5)) (*.f64 -1/6 (pow.f64 ky 3))) (+.f64 ky (*.f64 -1/5040 (pow.f64 ky 7)))))
(*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) (+.f64 ky (+.f64 (*.f64 -1/5040 (pow.f64 ky 7)) (*.f64 1/120 (pow.f64 ky 5))))))

localize36.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 -1/6 (pow.f64 ky 3))
0.2b
(/.f64 (sin.f64 th) (sin.f64 kx))
✓2.2b
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 ky (*.f64 -1/6 (pow.f64 ky 3))))
Compiler

Compiled 45 to 25 computations (44.4% saved)

series27.0ms (0.1%)

Counts
2 → 36
Calls

12 calls:

TimeVariablePointExpression
7.0ms
th
@0
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 ky (*.f64 -1/6 (pow.f64 ky 3))))
3.0ms
th
@inf
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 ky (*.f64 -1/6 (pow.f64 ky 3))))
2.0ms
ky
@inf
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 ky (*.f64 -1/6 (pow.f64 ky 3))))
2.0ms
kx
@0
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 ky (*.f64 -1/6 (pow.f64 ky 3))))
2.0ms
kx
@inf
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 ky (*.f64 -1/6 (pow.f64 ky 3))))

rewrite120.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
699×log-prod_binary64
368×pow2_binary64
347×fma-def_binary64
257×pow1/3_binary64
251×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01327
128825
2388925
Stop Event
1×node limit
Counts
2 → 110
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 ky (*.f64 -1/6 (pow.f64 ky 3))))
(*.f64 -1/6 (pow.f64 ky 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky) (*.f64 -1/6 (*.f64 (pow.f64 ky 3) (/.f64 (sin.f64 th) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/6 (*.f64 (pow.f64 ky 3) (/.f64 (sin.f64 th) (sin.f64 kx)))) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 -1/6 (pow.f64 ky 3) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky) 1) (*.f64 (*.f64 -1/6 (*.f64 (pow.f64 ky 3) (/.f64 (sin.f64 th) (sin.f64 kx)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky)) (/.f64 (sin.f64 th) (sin.f64 kx)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky)) (/.f64 (sin.f64 th) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky)) (/.f64 (sin.f64 th) (sin.f64 kx))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky)) (/.f64 (sin.f64 th) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 -1/6 (pow.f64 ky 3) ky)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (fma.f64 -1/6 (pow.f64 ky 3) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 ky 3) 3) (pow.f64 ky 3)) (*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (-.f64 (fma.f64 ky ky (*.f64 1/36 (pow.f64 ky 6))) (*.f64 (*.f64 ky -1/6) (pow.f64 ky 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 ky ky) (*.f64 1/36 (pow.f64 ky 6))) (*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 ky (*.f64 1/6 (pow.f64 ky 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 th) (fma.f64 -1/6 (pow.f64 ky 3) ky)) (sin.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 th) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (neg.f64 (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 th) (fma.f64 -1/216 (pow.f64 (pow.f64 ky 3) 3) (pow.f64 ky 3))) (*.f64 (sin.f64 kx) (-.f64 (fma.f64 ky ky (*.f64 1/36 (pow.f64 ky 6))) (*.f64 (*.f64 ky -1/6) (pow.f64 ky 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 th)) (fma.f64 -1/216 (pow.f64 (pow.f64 ky 3) 3) (pow.f64 ky 3))) (*.f64 (neg.f64 (sin.f64 kx)) (-.f64 (fma.f64 ky ky (*.f64 1/36 (pow.f64 ky 6))) (*.f64 (*.f64 ky -1/6) (pow.f64 ky 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 th) (-.f64 (*.f64 ky ky) (*.f64 1/36 (pow.f64 ky 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((x fma.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sqrt.f64 ky)) (sqrt.f64 ky) (*.f64 -1/6 (*.f64 (pow.f64 ky 3) (/.f64 (sin.f64 th) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 ky (cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) 2))) (cbrt.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1/6 (*.f64 (pow.f64 ky 3) (/.f64 (sin.f64 th) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 ky (sqrt.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) (sqrt.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1/6 (*.f64 (pow.f64 ky 3) (/.f64 (sin.f64 th) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) -1/6) (pow.f64 ky 3) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (pow.f64 ky 3)) -1/6 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/6 (pow.f64 ky 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 ky 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 ky 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 ky 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 ky 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 ky 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (pow.f64 ky 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/36 (pow.f64 ky 6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 ky (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 ky 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/216 (pow.f64 (pow.f64 ky 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 ky 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 ky 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 ky 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/216 (pow.f64 (pow.f64 ky 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 ky 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 ky 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 ky) (log.f64 -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 ky) (log.f64 -1/6)) 1))))))

simplify79.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
714×fma-neg_binary64
428×fma-def_binary64
411×associate-*l*_binary64
391×associate-*r*_binary64
272×distribute-lft-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
071914
1220902
2798846
34459788
Stop Event
1×node limit
Counts
146 → 133
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) th) (sin.f64 kx))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) (pow.f64 th 3)) (sin.f64 kx))) (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) th) (sin.f64 kx)))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) (pow.f64 th 3)) (sin.f64 kx))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) th) (sin.f64 kx)) (*.f64 1/120 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) (pow.f64 th 5)) (sin.f64 kx)))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) (pow.f64 th 3)) (sin.f64 kx))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) th) (sin.f64 kx)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) (pow.f64 th 5)) (sin.f64 kx))) (*.f64 -1/5040 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) (pow.f64 th 7)) (sin.f64 kx))))))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) kx)
(+.f64 (/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) kx) (*.f64 1/6 (*.f64 (sin.f64 th) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) kx))))
(+.f64 (/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) kx) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) kx))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky))) (*.f64 1/120 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)))) (pow.f64 kx 3)))))
(+.f64 (/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) kx) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) kx))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 -1/36 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky))) (*.f64 1/120 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky))))) (+.f64 (*.f64 -1/5040 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky))) (*.f64 1/720 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky))))) (pow.f64 kx 5))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky))) (*.f64 1/120 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)))) (pow.f64 kx 3))))))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) 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 -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 -1/6 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) (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 -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 -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 -1/6 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) (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 -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 -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 -1/6 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) (sin.f64 kx))))
Outputs
(/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) th) (sin.f64 kx))
(/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 kx) th))
(*.f64 (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 kx)) th)
(*.f64 th (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 kx)))
(*.f64 (/.f64 th (sin.f64 kx)) (fma.f64 -1/6 (pow.f64 ky 3) ky))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) (pow.f64 th 3)) (sin.f64 kx))) (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) th) (sin.f64 kx)))
(fma.f64 -1/6 (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 kx) (pow.f64 th 3))) (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 kx) th)))
(fma.f64 -1/6 (*.f64 (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 kx)) (pow.f64 th 3)) (*.f64 (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 kx)) th))
(fma.f64 -1/6 (*.f64 (pow.f64 th 3) (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 kx))) (*.f64 th (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 kx))))
(*.f64 (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 kx)) (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) (pow.f64 th 3)) (sin.f64 kx))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) th) (sin.f64 kx)) (*.f64 1/120 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) (pow.f64 th 5)) (sin.f64 kx)))))
(+.f64 (fma.f64 -1/6 (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 kx) (pow.f64 th 3))) (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 kx) th))) (/.f64 (*.f64 1/120 (*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (pow.f64 th 5))) (sin.f64 kx)))
(fma.f64 -1/6 (*.f64 (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 kx)) (pow.f64 th 3)) (fma.f64 1/120 (*.f64 (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 kx)) (pow.f64 th 5)) (*.f64 (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 kx)) th)))
(fma.f64 -1/6 (*.f64 (pow.f64 th 3) (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 kx))) (fma.f64 (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 kx)) th (/.f64 (*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (*.f64 1/120 (pow.f64 th 5))) (sin.f64 kx))))
(fma.f64 -1/6 (*.f64 (pow.f64 th 3) (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 kx))) (*.f64 (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 kx)) (+.f64 th (*.f64 1/120 (pow.f64 th 5)))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) (pow.f64 th 3)) (sin.f64 kx))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) th) (sin.f64 kx)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) (pow.f64 th 5)) (sin.f64 kx))) (*.f64 -1/5040 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) (pow.f64 th 7)) (sin.f64 kx))))))
(+.f64 (fma.f64 -1/6 (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 kx) (pow.f64 th 3))) (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 kx) th))) (fma.f64 1/120 (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 kx) (pow.f64 th 5))) (*.f64 -1/5040 (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 kx) (pow.f64 th 7))))))
(+.f64 (fma.f64 -1/6 (*.f64 (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 kx)) (pow.f64 th 3)) (*.f64 (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 kx)) th)) (fma.f64 1/120 (*.f64 (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 kx)) (pow.f64 th 5)) (*.f64 -1/5040 (*.f64 (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 kx)) (pow.f64 th 7)))))
(fma.f64 -1/6 (*.f64 (pow.f64 th 3) (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 kx))) (fma.f64 -1/5040 (*.f64 (pow.f64 th 7) (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 kx))) (fma.f64 (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 kx)) th (/.f64 (*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (*.f64 1/120 (pow.f64 th 5))) (sin.f64 kx)))))
(+.f64 (*.f64 (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 kx)) (+.f64 th (*.f64 -1/6 (pow.f64 th 3)))) (*.f64 (/.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 kx)) (+.f64 (*.f64 1/120 (pow.f64 th 5)) (*.f64 -1/5040 (pow.f64 th 7)))))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 -1/6 (pow.f64 ky 3) ky))
(*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 -1/6 (pow.f64 ky 3) ky))
(*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 -1/6 (pow.f64 ky 3) ky))
(*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 -1/6 (pow.f64 ky 3) ky))
(*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 -1/6 (pow.f64 ky 3) ky))
(*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 -1/6 (pow.f64 ky 3) ky))
(*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 -1/6 (pow.f64 ky 3) ky))
(*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 -1/6 (pow.f64 ky 3) ky))
(*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) kx)
(/.f64 (sin.f64 th) (/.f64 kx (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(*.f64 (/.f64 (sin.f64 th) kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))
(*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 th) kx))
(+.f64 (/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) kx) (*.f64 1/6 (*.f64 (sin.f64 th) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) kx))))
(+.f64 (/.f64 (sin.f64 th) (/.f64 kx (fma.f64 -1/6 (pow.f64 ky 3) ky))) (*.f64 (*.f64 1/6 (sin.f64 th)) (*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) kx)))
(fma.f64 1/6 (*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (*.f64 (sin.f64 th) kx)) (*.f64 (/.f64 (sin.f64 th) kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (+.f64 (/.f64 (sin.f64 th) kx) (*.f64 kx (*.f64 (sin.f64 th) 1/6))))
(*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (+.f64 (/.f64 (sin.f64 th) kx) (*.f64 (sin.f64 th) (*.f64 kx 1/6))))
(+.f64 (/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) kx) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) kx))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky))) (*.f64 1/120 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)))) (pow.f64 kx 3)))))
(+.f64 (/.f64 (sin.f64 th) (/.f64 kx (fma.f64 -1/6 (pow.f64 ky 3) ky))) (fma.f64 1/6 (*.f64 (sin.f64 th) (*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) kx)) (neg.f64 (*.f64 (*.f64 (*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 th)) -7/360) (pow.f64 kx 3)))))
(-.f64 (fma.f64 1/6 (*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (*.f64 (sin.f64 th) kx)) (*.f64 (/.f64 (sin.f64 th) kx) (fma.f64 -1/6 (pow.f64 ky 3) ky))) (*.f64 (*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 th)) (*.f64 -7/360 (pow.f64 kx 3))))
(fma.f64 (/.f64 (sin.f64 th) kx) (fma.f64 -1/6 (pow.f64 ky 3) ky) (*.f64 (*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 th)) (-.f64 (*.f64 kx 1/6) (*.f64 (pow.f64 kx 3) -7/360))))
(*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (-.f64 (+.f64 (/.f64 (sin.f64 th) kx) (*.f64 (sin.f64 th) (*.f64 kx 1/6))) (*.f64 (sin.f64 th) (*.f64 (pow.f64 kx 3) -7/360))))
(+.f64 (/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) kx) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky) kx))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 -1/36 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky))) (*.f64 1/120 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky))))) (+.f64 (*.f64 -1/5040 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky))) (*.f64 1/720 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky))))) (pow.f64 kx 5))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky))) (*.f64 1/120 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)))) (pow.f64 kx 3))))))
(+.f64 (/.f64 (sin.f64 th) (/.f64 kx (fma.f64 -1/6 (pow.f64 ky 3) ky))) (fma.f64 1/6 (*.f64 (sin.f64 th) (*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) kx)) (*.f64 -1 (+.f64 (*.f64 (fma.f64 1/6 (*.f64 (*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 th)) -7/360) (*.f64 (*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 th)) 1/840)) (pow.f64 kx 5)) (*.f64 (*.f64 (*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 th)) -7/360) (pow.f64 kx 3))))))
(+.f64 (*.f64 (/.f64 (sin.f64 th) kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)) (fma.f64 1/6 (*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (*.f64 (sin.f64 th) kx)) (neg.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 th)) 1/840 (*.f64 (*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 th)) -7/2160)) (pow.f64 kx 5) (*.f64 (*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 th)) (*.f64 -7/360 (pow.f64 kx 3)))))))
(-.f64 (fma.f64 (/.f64 (sin.f64 th) kx) (fma.f64 -1/6 (pow.f64 ky 3) ky) (*.f64 (*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 th)) (-.f64 (*.f64 kx 1/6) (*.f64 (pow.f64 kx 3) -7/360)))) (*.f64 (*.f64 (*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 th)) -31/15120) (pow.f64 kx 5)))
(fma.f64 (pow.f64 kx 5) (*.f64 (*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (sin.f64 th)) 31/15120) (*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (-.f64 (+.f64 (/.f64 (sin.f64 th) kx) (*.f64 (sin.f64 th) (*.f64 kx 1/6))) (*.f64 (sin.f64 th) (*.f64 (pow.f64 kx 3) -7/360)))))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 -1/6 (pow.f64 ky 3) ky))
(*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 -1/6 (pow.f64 ky 3) ky))
(*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 -1/6 (pow.f64 ky 3) ky))
(*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 -1/6 (pow.f64 ky 3) ky))
(*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 -1/6 (pow.f64 ky 3) ky))
(*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 -1/6 (pow.f64 ky 3) ky))
(*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 -1/6 (pow.f64 ky 3) ky))
(*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 -1/6 (pow.f64 ky 3) ky))
(*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.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 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (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 (sin.f64 th) (/.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 -1/6 (pow.f64 ky 3) ky))
(*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 th) (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 (sin.f64 th) (/.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 -1/6 (pow.f64 ky 3) ky))
(*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 th) (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 (sin.f64 th) (/.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 -1/6 (pow.f64 ky 3) ky))
(*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 -1/6 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) (sin.f64 kx)))
(*.f64 -1/6 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (pow.f64 ky 3))))
(*.f64 -1/6 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (pow.f64 ky 3)))
(*.f64 -1/6 (*.f64 (pow.f64 ky 3) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 -1/6 (/.f64 (pow.f64 ky 3) (/.f64 (sin.f64 kx) (sin.f64 th))))
(+.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 (sin.f64 th) (/.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 -1/6 (pow.f64 ky 3) ky))
(*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 th) (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 (sin.f64 th) (/.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 -1/6 (pow.f64 ky 3) ky))
(*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 th) (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 (sin.f64 th) (/.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 -1/6 (pow.f64 ky 3) ky))
(*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 -1/6 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) (sin.f64 kx)))
(*.f64 -1/6 (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (pow.f64 ky 3))))
(*.f64 -1/6 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (pow.f64 ky 3)))
(*.f64 -1/6 (*.f64 (pow.f64 ky 3) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 -1/6 (/.f64 (pow.f64 ky 3) (/.f64 (sin.f64 kx) (sin.f64 th))))
(+.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 (sin.f64 th) (/.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 -1/6 (pow.f64 ky 3) ky))
(*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 th) (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 (sin.f64 th) (/.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 -1/6 (pow.f64 ky 3) ky))
(*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 th) (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 (sin.f64 th) (/.f64 (sin.f64 kx) (fma.f64 -1/6 (pow.f64 ky 3) ky)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 -1/6 (pow.f64 ky 3) ky))
(*.f64 (fma.f64 -1/6 (pow.f64 ky 3) ky) (/.f64 (sin.f64 th) (sin.f64 kx)))

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (*.f64 ky ky)))) (sin.f64 th))
✓0.2b
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (*.f64 ky ky))))
1.4b
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx))))
✓22.6b
(sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (*.f64 ky ky)))
Compiler

Compiled 95 to 41 computations (56.8% saved)

series46.0ms (0.1%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
22.0ms
kx
@0
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (*.f64 ky ky)))) (sin.f64 th))
2.0ms
ky
@0
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (*.f64 ky ky)))) (sin.f64 th))
2.0ms
ky
@0
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (*.f64 ky ky))))
2.0ms
kx
@0
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (*.f64 ky ky))))
2.0ms
ky
@inf
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (*.f64 ky ky))))

rewrite83.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
515×fma-def_binary64
314×expm1-udef_binary64
314×log1p-udef_binary64
289×fma-neg_binary64
265×log-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01675
136248
2518933
Stop Event
1×node limit
Counts
3 → 87
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (*.f64 ky ky)))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (*.f64 ky ky))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (*.f64 ky ky)))) (sin.f64 th))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 ky (sin.f64 kx)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 ky (sin.f64 kx)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 ky (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) (cbrt.f64 (pow.f64 (hypot.f64 ky (sin.f64 kx)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 ky (sin.f64 kx)) 2)) (cbrt.f64 (hypot.f64 ky (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 ky (sin.f64 kx))) (sqrt.f64 (hypot.f64 ky (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 ky (sin.f64 kx)) 2)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 ky (sin.f64 kx)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 ky (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 ky (sin.f64 kx)) 2)) 2) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 ky (sin.f64 kx)) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 (pow.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 ky 4) (*.f64 (pow.f64 (sin.f64 kx) 2) (*.f64 ky ky))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 kx) 2) 2) (pow.f64 ky 4))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) 2) (*.f64 ky ky))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 ky (sin.f64 kx)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 ky (sin.f64 kx)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 ky (sin.f64 kx)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 ky (sin.f64 kx))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 ky (sin.f64 kx))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 ky (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 ky (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 ky (sin.f64 kx)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 ky (sin.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) 2)) ky)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sin.f64 kx) ky)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 ky (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 ky (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 ky (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 ky (sin.f64 kx)) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 ky (sin.f64 kx))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 ky) (/.f64 1 (hypot.f64 ky (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 ky) (hypot.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 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx)))) 2) (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.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 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx)))) (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 ky)) (/.f64 1 (neg.f64 (hypot.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.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 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 ky (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (hypot.f64 ky (sin.f64 kx)) 2))) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (cbrt.f64 (pow.f64 (hypot.f64 ky (sin.f64 kx)) 2))) (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (pow.f64 (hypot.f64 ky (sin.f64 kx)) 2))) (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (hypot.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (hypot.f64 ky (sin.f64 kx)))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.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 ky (sin.f64 kx)))) (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.f64 (hypot.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.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 ky (sin.f64 kx)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.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 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.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 ky (sin.f64 kx)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (hypot.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 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 ky (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 1) (hypot.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 ky (sin.f64 kx)) 2))) (cbrt.f64 (hypot.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 ky (sin.f64 kx)))) (sqrt.f64 (hypot.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 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 ky (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) 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 ky (sin.f64 kx))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))) 1))))))

simplify103.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
814×times-frac_binary64
769×distribute-rgt-in_binary64
768×distribute-lft-in_binary64
312×fma-def_binary64
255×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03115190
19635021
233644755
Stop Event
1×node limit
Counts
171 → 192
Calls
Call 1
Inputs
ky
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) (pow.f64 kx 4)) ky)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) (pow.f64 kx 4)) ky)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) (pow.f64 ky 2)))) (pow.f64 kx 6)) ky)) ky)))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx))))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx))))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx))))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.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 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 3))) (pow.f64 ky 4)))))
(+.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 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 5))) (pow.f64 ky 6))) (+.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 3))) (pow.f64 ky 4))))))
ky
(+.f64 (*.f64 1/2 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) ky)) ky)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 2) (pow.f64 ky 3))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) ky)) ky))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 3) (pow.f64 ky 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 2) (pow.f64 ky 3))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) ky)) ky)))
(*.f64 -1 ky)
(+.f64 (*.f64 -1/2 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) ky)) (*.f64 -1 ky))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 2) (pow.f64 ky 3))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) ky)) (*.f64 -1 ky)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 2) (pow.f64 ky 3))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) ky)) (+.f64 (*.f64 -1 ky) (*.f64 -1/16 (/.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 3) (pow.f64 ky 5))))))
(*.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)))
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(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
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(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (pow.f64 kx 2))) (pow.f64 ky 3))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (pow.f64 kx 2))) (pow.f64 ky 3))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 ky 4))) (/.f64 1 (pow.f64 ky 6))) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2)) (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (*.f64 ky (pow.f64 kx 4)))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (pow.f64 kx 2))) (pow.f64 ky 3))) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 1 (pow.f64 ky 8)) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 ky 4))) (/.f64 1 (pow.f64 ky 6))) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2)) (pow.f64 ky 2))) (+.f64 (*.f64 2/45 (/.f64 1 (pow.f64 ky 4))) (*.f64 2/3 (/.f64 1 (pow.f64 ky 6)))))) (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (*.f64 (pow.f64 kx 6) ky))))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 ky 4))) (/.f64 1 (pow.f64 ky 6))) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2)) (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (*.f64 ky (pow.f64 kx 4)))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx))))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx))))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx))))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx))))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 ky) th))
(+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 ky) th)))
(+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 ky) (pow.f64 th 5)))) (*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 ky) th))))
(+.f64 (*.f64 -1/5040 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 ky) (pow.f64 th 7)))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 ky) (pow.f64 th 5)))) (*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 ky) th)))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
Outputs
ky
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky)
(fma.f64 1/2 (/.f64 (*.f64 kx kx) ky) ky)
(fma.f64 1/2 (/.f64 kx (/.f64 ky kx)) ky)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) (pow.f64 kx 4)) ky)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky))
(fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) (/.f64 ky (pow.f64 kx 4))) (fma.f64 1/2 (/.f64 (*.f64 kx kx) ky) ky))
(fma.f64 -1/2 (*.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) ky) (pow.f64 kx 4)) (fma.f64 1/2 (/.f64 kx (/.f64 ky kx)) ky))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) (pow.f64 kx 4)) ky)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) (pow.f64 ky 2)))) (pow.f64 kx 6)) ky)) ky)))
(fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) (/.f64 ky (pow.f64 kx 4))) (fma.f64 1/2 (/.f64 (*.f64 kx kx) ky) (fma.f64 1/2 (/.f64 (-.f64 2/45 (/.f64 (*.f64 -1/2 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2))) (*.f64 ky ky))) (/.f64 ky (pow.f64 kx 6))) ky)))
(fma.f64 -1/2 (*.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) ky) (pow.f64 kx 4)) (fma.f64 1/2 (/.f64 kx (/.f64 ky kx)) (fma.f64 1/2 (/.f64 (+.f64 2/45 (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) (*.f64 ky ky)))) (/.f64 ky (pow.f64 kx 6))) ky)))
(fma.f64 -1/2 (*.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) ky) (pow.f64 kx 4)) (fma.f64 1/2 (/.f64 kx (/.f64 ky kx)) (fma.f64 1/2 (/.f64 (+.f64 2/45 (*.f64 (/.f64 1/2 ky) (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 ky) 2)) ky))) (/.f64 ky (pow.f64 kx 6))) ky)))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))
(sqrt.f64 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))
(sqrt.f64 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))
(hypot.f64 ky (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))
(sqrt.f64 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))
(sqrt.f64 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))
(hypot.f64 ky (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))
(sqrt.f64 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))
(sqrt.f64 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))
(hypot.f64 ky (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))
(sqrt.f64 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))
(sqrt.f64 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))
(hypot.f64 ky (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx))))))
(sqrt.f64 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))
(sqrt.f64 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))
(hypot.f64 ky (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx))))))
(sqrt.f64 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))
(sqrt.f64 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))
(hypot.f64 ky (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx))))))
(sqrt.f64 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))
(sqrt.f64 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))
(hypot.f64 ky (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))
(sqrt.f64 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx))))))
(sqrt.f64 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))
(sqrt.f64 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))
(hypot.f64 ky (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 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)))))
(+.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 (*.f64 ky ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 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 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 3))) (pow.f64 ky 4)))))
(+.f64 (fma.f64 1/2 (*.f64 (*.f64 ky ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 3))) (pow.f64 ky 4))))
(fma.f64 1/2 (*.f64 (*.f64 ky ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 3))) (pow.f64 ky 4)) (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))))
(fma.f64 1/2 (*.f64 (*.f64 ky ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (*.f64 kx 2)) -1/2) 3)))) (pow.f64 ky 4)) (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 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 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 5))) (pow.f64 ky 6))) (+.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 3))) (pow.f64 ky 4))))))
(fma.f64 1/2 (*.f64 (*.f64 ky ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 5))) (pow.f64 ky 6)) (+.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 3))) (pow.f64 ky 4))))))
(fma.f64 1/2 (*.f64 (*.f64 ky ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 5))) (pow.f64 ky 6)) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 3))) (pow.f64 ky 4)) (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))))
(fma.f64 1/2 (*.f64 (*.f64 ky ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 5))) (pow.f64 ky 6)) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (*.f64 kx 2)) -1/2) 3)))) (pow.f64 ky 4)) (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))))
ky
(+.f64 (*.f64 1/2 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) ky)) ky)
(fma.f64 1/2 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) ky) ky)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 2) (pow.f64 ky 3))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) ky)) ky))
(fma.f64 -1/8 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 2) (pow.f64 ky 3)) (fma.f64 1/2 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) ky) ky))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 3) (pow.f64 ky 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 2) (pow.f64 ky 3))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) ky)) ky)))
(fma.f64 1/16 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 3) (pow.f64 ky 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 2) (pow.f64 ky 3)) (fma.f64 1/2 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) ky) ky)))
(fma.f64 1/16 (/.f64 (neg.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (*.f64 kx 2)) -1/2) 3)) (pow.f64 ky 5)) (fma.f64 -1/8 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 2) (pow.f64 ky 3)) (fma.f64 1/2 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) ky) ky)))
(*.f64 -1 ky)
(neg.f64 ky)
(+.f64 (*.f64 -1/2 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) ky)) (*.f64 -1 ky))
(fma.f64 -1/2 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) ky) (neg.f64 ky))
(-.f64 (*.f64 -1/2 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) ky)) ky)
(-.f64 (/.f64 (+.f64 -1/4 (*.f64 -1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))) ky) ky)
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 2) (pow.f64 ky 3))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) ky)) (*.f64 -1 ky)))
(fma.f64 1/8 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 2) (pow.f64 ky 3)) (fma.f64 -1/2 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) ky) (neg.f64 ky)))
(-.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 2) (pow.f64 ky 3)) 1/8 (*.f64 -1/2 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) ky))) ky)
(fma.f64 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 2) (pow.f64 ky 3)) 1/8 (-.f64 (/.f64 (+.f64 -1/4 (*.f64 -1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))) ky) ky))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 2) (pow.f64 ky 3))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) ky)) (+.f64 (*.f64 -1 ky) (*.f64 -1/16 (/.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 3) (pow.f64 ky 5))))))
(fma.f64 1/8 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 2) (pow.f64 ky 3)) (fma.f64 -1/2 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) ky) (fma.f64 -1 ky (*.f64 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 3) (pow.f64 ky 5)) -1/16))))
(fma.f64 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 2) (pow.f64 ky 3)) 1/8 (fma.f64 -1/2 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) ky) (-.f64 (/.f64 -1/16 (/.f64 (pow.f64 ky 5) (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 3))) ky)))
(fma.f64 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 2) (pow.f64 ky 3)) 1/8 (fma.f64 -1/2 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) ky) (-.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (*.f64 kx 2)) -1/2) 3)) (pow.f64 ky 5)) -1/16) ky)))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky)
(*.f64 ky (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))))
(+.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)))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) ky (*.f64 (pow.f64 ky 3) (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))))
(fma.f64 ky (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) (*.f64 (pow.f64 ky 3) (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))))
(fma.f64 ky (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) (*.f64 (pow.f64 ky 3) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) -1/6 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (neg.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (*.f64 kx 2)) -1/2) 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 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))))
(fma.f64 (fma.f64 1/120 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) (fma.f64 1/2 (*.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))) (-.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 3)) (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 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) ky (*.f64 (pow.f64 ky 3) (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)))))
(fma.f64 (pow.f64 ky 5) (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 1 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 3)) (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))) (fma.f64 ky (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) (*.f64 (pow.f64 ky 3) (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)))))
(fma.f64 (pow.f64 ky 5) (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 1 (neg.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (*.f64 kx 2)) -1/2) 3))) (*.f64 (/.f64 1 (neg.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (*.f64 kx 2)) -1/2) 3))) 1/4))) (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (*.f64 kx 2)) -1/2) 3)))) 1/12))) (fma.f64 ky (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) (*.f64 (pow.f64 ky 3) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) -1/6 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (neg.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (*.f64 kx 2)) -1/2) 3)))))))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (/.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 1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 4))) (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (/.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 -1/240 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))) 3))))))) (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 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)))))
(fma.f64 (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 1 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 3)) (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 1 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 4)))) (fma.f64 -1/12 (*.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))) (-.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 3)))) 2))) (fma.f64 -1/5040 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 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 1/120 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) (fma.f64 1/2 (*.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))) (-.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 3)) (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 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) ky (*.f64 (pow.f64 ky 3) (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))))))
(fma.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) -1/5040 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 3))) -1/240)) (*.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))) (+.f64 (*.f64 -1/2 (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 4)) (/.f64 (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 1 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 4)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 3)) (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)))) (pow.f64 ky 7) (fma.f64 (pow.f64 ky 5) (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 1 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 3)) (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))) (fma.f64 ky (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) (*.f64 (pow.f64 ky 3) (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))))))
(fma.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) -1/5040 (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (*.f64 kx 2)) -1/2) 3)))) -1/240)) (*.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))) (+.f64 (*.f64 -1/2 (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 4)) (*.f64 -1/4 (/.f64 (/.f64 1 (neg.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (*.f64 kx 2)) -1/2) 3))) (fma.f64 1/2 (cos.f64 (*.f64 kx 2)) -1/2)))) (/.f64 1 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))) 4)))) (*.f64 (-.f64 (/.f64 1 (neg.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (*.f64 kx 2)) -1/2) 3))) (*.f64 (/.f64 1 (neg.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (*.f64 kx 2)) -1/2) 3))) 1/4)) -1/12)))) (pow.f64 ky 7) (fma.f64 (pow.f64 ky 5) (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 1 (neg.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (*.f64 kx 2)) -1/2) 3))) (*.f64 (/.f64 1 (neg.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (*.f64 kx 2)) -1/2) 3))) 1/4))) (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (*.f64 kx 2)) -1/2) 3)))) 1/12))) (fma.f64 ky (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) (*.f64 (pow.f64 ky 3) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) -1/6 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (neg.f64 (pow.f64 (fma.f64 1/2 (cos.f64 (*.f64 kx 2)) -1/2) 3))))))))))
(/.f64 (sin.f64 ky) ky)
(+.f64 (/.f64 (sin.f64 ky) ky) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (cos.f64 (*.f64 2 kx))) 1/2) (sin.f64 ky)) (pow.f64 ky 3))))
(+.f64 (/.f64 (sin.f64 ky) ky) (*.f64 1/2 (/.f64 (fma.f64 1/2 (cos.f64 (*.f64 kx 2)) -1/2) (/.f64 (pow.f64 ky 3) (sin.f64 ky)))))
(fma.f64 1/2 (/.f64 (sin.f64 ky) (/.f64 (pow.f64 ky 3) (fma.f64 1/2 (cos.f64 (*.f64 kx 2)) -1/2))) (/.f64 (sin.f64 ky) ky))
(+.f64 (/.f64 (sin.f64 ky) ky) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (cos.f64 (*.f64 2 kx))) 1/2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))) (pow.f64 (*.f64 1/2 (-.f64 (*.f64 1/2 (cos.f64 (*.f64 2 kx))) 1/2)) 2)) (sin.f64 ky)) (pow.f64 ky 5))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (cos.f64 (*.f64 2 kx))) 1/2) (sin.f64 ky)) (pow.f64 ky 3)))))
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(/.f64 (neg.f64 (sin.f64 ky)) ky)
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(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
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(fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 ky 3)) (*.f64 (*.f64 kx kx) (sin.f64 ky))) (fma.f64 1/2 (*.f64 (+.f64 (/.f64 1/3 (pow.f64 ky 4)) (-.f64 (/.f64 1 (pow.f64 ky 6)) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2))) (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 ky (pow.f64 kx 4)))) (*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (pow.f64 kx 2))) (pow.f64 ky 3))) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 1 (pow.f64 ky 8)) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 ky 4))) (/.f64 1 (pow.f64 ky 6))) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2)) (pow.f64 ky 2))) (+.f64 (*.f64 2/45 (/.f64 1 (pow.f64 ky 4))) (*.f64 2/3 (/.f64 1 (pow.f64 ky 6)))))) (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (*.f64 (pow.f64 kx 6) ky))))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 ky 4))) (/.f64 1 (pow.f64 ky 6))) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2)) (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (*.f64 ky (pow.f64 kx 4)))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))))
(fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 ky 3) (*.f64 (*.f64 kx kx) (sin.f64 ky)))) (fma.f64 -1/2 (*.f64 (+.f64 (/.f64 1 (pow.f64 ky 8)) (fma.f64 -1/2 (/.f64 (-.f64 (+.f64 (/.f64 1/3 (pow.f64 ky 4)) (/.f64 1 (pow.f64 ky 6))) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2)) (*.f64 ky ky)) (+.f64 (/.f64 2/45 (pow.f64 ky 4)) (/.f64 2/3 (pow.f64 ky 6))))) (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 ky (pow.f64 kx 6)))) (fma.f64 1/2 (*.f64 (-.f64 (+.f64 (/.f64 1/3 (pow.f64 ky 4)) (/.f64 1 (pow.f64 ky 6))) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2)) (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 ky (pow.f64 kx 4)))) (/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky))))))
(fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (/.f64 (pow.f64 ky 3) (sin.f64 ky)) (*.f64 kx kx))) (fma.f64 -1/2 (*.f64 (+.f64 (/.f64 1 (pow.f64 ky 8)) (+.f64 (/.f64 2/3 (pow.f64 ky 6)) (fma.f64 -1/2 (/.f64 (-.f64 (+.f64 (/.f64 1/3 (pow.f64 ky 4)) (/.f64 1 (pow.f64 ky 6))) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2)) (*.f64 ky ky)) (/.f64 2/45 (pow.f64 ky 4))))) (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (*.f64 ky (pow.f64 kx 6))))) (fma.f64 1/2 (*.f64 (-.f64 (+.f64 (/.f64 1/3 (pow.f64 ky 4)) (/.f64 1 (pow.f64 ky 6))) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2)) (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (*.f64 ky (pow.f64 kx 4))))) (*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky)))))
(+.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (+.f64 (*.f64 (*.f64 1/2 (+.f64 (/.f64 1/3 (pow.f64 ky 4)) (-.f64 (/.f64 1 (pow.f64 ky 6)) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2)))) (*.f64 ky (pow.f64 kx 4))) (*.f64 (*.f64 -1/2 (+.f64 (/.f64 1 (pow.f64 ky 8)) (+.f64 (/.f64 2/3 (pow.f64 ky 6)) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 ky 4)) (-.f64 (/.f64 1 (pow.f64 ky 6)) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2))) (*.f64 ky ky)) (/.f64 2/45 (pow.f64 ky 4)))))) (*.f64 ky (pow.f64 kx 6)))))) (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 ky 3)) (*.f64 (*.f64 kx kx) (sin.f64 ky))) (*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx))))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx))))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx))))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (neg.f64 (*.f64 -2 kx))))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))) (*.f64 (sin.f64 ky) th))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) th))
(+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 ky) th)))
(fma.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))) (*.f64 (sin.f64 ky) (pow.f64 th 3))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))) (*.f64 (sin.f64 ky) th)))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) (*.f64 (sin.f64 ky) th) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) (*.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) -1/6)))
(*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))))) (+.f64 th (*.f64 (pow.f64 th 3) -1/6)))
(+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 ky) (pow.f64 th 5)))) (*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 ky) th))))
(fma.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))) (*.f64 (sin.f64 ky) (pow.f64 th 3))) (fma.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))) (*.f64 (sin.f64 ky) (pow.f64 th 5))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))) (*.f64 (sin.f64 ky) th))))
(fma.f64 -1/6 (*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) (pow.f64 th 3))) (fma.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) (*.f64 (sin.f64 ky) (pow.f64 th 5))) (*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) th))))
(fma.f64 -1/6 (*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) (pow.f64 th 3))) (*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))))) (+.f64 th (*.f64 (pow.f64 th 5) 1/120))))
(+.f64 (*.f64 -1/5040 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 ky) (pow.f64 th 7)))) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 ky) (pow.f64 th 3)))) (+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 ky) (pow.f64 th 5)))) (*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 ky) th)))))
(fma.f64 -1/5040 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))) (*.f64 (sin.f64 ky) (pow.f64 th 7))) (fma.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))) (*.f64 (sin.f64 ky) (pow.f64 th 3))) (fma.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))) (*.f64 (sin.f64 ky) (pow.f64 th 5))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))) (*.f64 (sin.f64 ky) th)))))
(fma.f64 -1/5040 (*.f64 (sin.f64 ky) (*.f64 (pow.f64 th 7) (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))))) (fma.f64 -1/6 (*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) (pow.f64 th 3))) (fma.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) (*.f64 (sin.f64 ky) (pow.f64 th 5))) (*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) th)))))
(+.f64 (*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))))) (+.f64 (*.f64 (pow.f64 th 3) -1/6) (*.f64 (pow.f64 th 5) 1/120))) (*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))))) (+.f64 th (*.f64 (pow.f64 th 7) -1/5040))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (-.f64 (*.f64 ky ky) (*.f64 1/2 (cos.f64 (*.f64 kx 2))))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) (sin.f64 th)))

eval381.0ms (0.9%)

Compiler

Compiled 22849 to 12479 computations (45.4% saved)

prune275.0ms (0.6%)

Pruning

74 alts after pruning (69 fresh and 5 done)

PrunedKeptTotal
New81652868
Fresh141731
Picked101
Done358
Total83474908
Error
0b
Counts
908 → 74
Alt Table
Click to see full alt table
StatusErrorProgram
▶55.0b
(*.f64 ky (/.f64 (sin.f64 th) kx))
56.7b
(sqrt.f64 (pow.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx))) 2))
59.5b
(*.f64 (sin.f64 ky) (+.f64 (/.f64 th kx) (*.f64 th (*.f64 kx 1/6))))
55.2b
(/.f64 (*.f64 (sin.f64 th) ky) kx)
✓46.4b
(sin.f64 th)
55.4b
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))
59.6b
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) (*.f64 th kx))) (/.f64 (*.f64 (sin.f64 ky) th) kx))
45.5b
(/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 kx (/.f64 (pow.f64 (sin.f64 ky) 2) kx)) 1))
55.0b
(pow.f64 (cbrt.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))) 3)
57.2b
(*.f64 (/.f64 th kx) (sin.f64 ky))
1.6b
(*.f64 (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 (sin.f64 th) (/.f64 1 (sin.f64 ky))))
50.7b
(*.f64 (fma.f64 -1/2 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)) 1) (sin.f64 th))
55.4b
(*.f64 (sin.f64 ky) (+.f64 (/.f64 th (sin.f64 kx)) (*.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 kx)))))
59.3b
(*.f64 th (+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) kx)) (/.f64 (sin.f64 ky) kx)))
57.3b
(/.f64 (*.f64 (sin.f64 ky) th) kx)
55.1b
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))))
52.2b
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 1/2 (/.f64 kx (/.f64 ky kx)) ky)) (sin.f64 th))
54.8b
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (/.f64 1 kx)))
55.0b
(*.f64 th (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) 3))
55.0b
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
54.4b
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) th))
48.0b
(*.f64 ky (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) (sin.f64 th)))
56.8b
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 2)) kx)
54.5b
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))) 3))
48.7b
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
45.6b
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 th))
54.5b
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 ky) th))
57.5b
(*.f64 (/.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 ky)))
48.9b
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
31.1b
(*.f64 (*.f64 (/.f64 1 (hypot.f64 ky (sin.f64 kx))) (sin.f64 ky)) (sin.f64 th))
30.3b
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
54.8b
(*.f64 (sin.f64 th) (/.f64 1 (/.f64 kx (sin.f64 ky))))
57.7b
(*.f64 (/.f64 (sin.f64 ky) kx) (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))
54.2b
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
48.0b
(*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))))
1.5b
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
54.8b
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
50.3b
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
57.9b
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))))
46.4b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
57.0b
(*.f64 th (/.f64 (sin.f64 ky) kx))
57.0b
(*.f64 th (-.f64 (+.f64 1 (/.f64 (sin.f64 ky) (sin.f64 kx))) 1))
16.6b
(*.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 1) (sin.f64 th))
55.6b
(sqrt.f64 (pow.f64 (/.f64 (/.f64 kx (sin.f64 th)) (sin.f64 ky)) -2))
✓0.2b
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
57.6b
(exp.f64 (log.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))))
▶47.6b
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
55.7b
(*.f64 th (log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)))))
32.3b
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
56.2b
(/.f64 (*.f64 ky th) (sin.f64 kx))
▶55.0b
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) 3) kx)
56.8b
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx)))
32.4b
(/.f64 1 (/.f64 (hypot.f64 ky (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
48.0b
(*.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) (sin.f64 ky)) kx)
48.7b
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
▶0.3b
(/.f64 (sin.f64 th) (/.f64 1 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
54.9b
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
31.0b
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
50.2b
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
▶57.5b
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 ky)) (sin.f64 th))
57.8b
(-.f64 (+.f64 1 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))) 1)
50.2b
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
55.1b
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
56.0b
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
✓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 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky))))
54.9b
(*.f64 th (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)))
31.1b
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
53.1b
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
56.0b
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
56.1b
(*.f64 (sin.f64 ky) (exp.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
57.8b
(*.f64 th (log.f64 (exp.f64 (/.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 1929 to 1404 computations (27.2% saved)

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) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓0.2b
(/.f64 1 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
✓0.2b
(/.f64 (sin.f64 th) (/.f64 1 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
Compiler

Compiled 49 to 14 computations (71.4% saved)

series7.0ms (0%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
1.0ms
ky
@0
(/.f64 (sin.f64 th) (/.f64 1 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
1.0ms
th
@0
(/.f64 (sin.f64 th) (/.f64 1 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
0.0ms
ky
@0
(/.f64 1 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
0.0ms
kx
@-inf
(/.f64 1 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
0.0ms
ky
@-inf
(/.f64 1 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

rewrite67.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
625×log-prod_binary64
337×pow-prod-down_binary64
321×pow2_binary64
224×pow1/3_binary64
221×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01237
125031
2327731
Stop Event
1×node limit
Counts
2 → 98
Calls
Call 1
Inputs
(/.f64 (sin.f64 th) (/.f64 1 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 1 (/.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 th) (/.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 (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 th) (/.f64 (sin.f64 ky) (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 1 (*.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) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) -2)) (cbrt.f64 (*.f64 (sin.f64 th) (/.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 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 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(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) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 th)) (/.f64 1 (neg.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) (sin.f64 ky)) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(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 (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) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) -2))) (cbrt.f64 (*.f64 (sin.f64 th) (/.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 th)) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) -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 (/.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 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (/.f64 1 (sin.f64 ky))) (/.f64 (cbrt.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)) (/.f64 1 (sin.f64 ky))) (/.f64 (sqrt.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 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 th) (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 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 th) (/.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 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.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 th) (/.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 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) -1)))) (#(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 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (sin.f64 th) 3) (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 (*.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3) (pow.f64 (sin.f64 th) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (cbrt.f64 (sin.f64 th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (sin.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 th) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (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 th) (/.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 th) (/.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 th) 3) (pow.f64 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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 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))) (#(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 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(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 1 (sin.f64 ky)) (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 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) -1)))) (#(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 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 (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 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) 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 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) 2)))) (#(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 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3) (pow.f64 (sin.f64 ky) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (sin.f64 ky))) 2)))) (#(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 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3) (pow.f64 (sin.f64 ky) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))))) (#(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 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) 1))))))

simplify158.0ms (0.4%)

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
158 → 139
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)))
(*.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 (*.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 ky (/.f64 (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 -1/2 (sin.f64 th)) (pow.f64 (sin.f64 kx) 3))) (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)))
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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)) (*.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 th) (sin.f64 kx))) (fma.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 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))))) (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 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)))
(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)))))
(+.f64 (fma.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (fma.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 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))))) (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 (/.f64 (sin.f64 th) (sin.f64 kx)) ky))) (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (sin.f64 th) (sin.f64 kx))) (fma.f64 1/2 (/.f64 (-.f64 (*.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx))) (fma.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 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))))) (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 -1/2 (*.f64 (/.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 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))))))) (pow.f64 ky 7)))
(fma.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) (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 -1/5040 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 -1/2 (/.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 (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) (/.f64 ky (/.f64 (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 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)))
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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)))
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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 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)))
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(*.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)))
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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 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)))
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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)))
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(*.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)))
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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)))
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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)))
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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)))
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(*.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)))
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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 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))
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(*.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))

localize17.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (sin.f64 th) kx)
✓2.9b
(*.f64 ky (/.f64 (sin.f64 th) kx))
Compiler

Compiled 18 to 6 computations (66.7% saved)

series16.0ms (0%)

Counts
2 → 40
Calls

15 calls:

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

rewrite107.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
776×pow1_binary64
714×add-log-exp_binary64
714×log1p-expm1-u_binary64
714×expm1-log1p-u_binary64
697×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
114415
2189615
Stop Event
1×node limit
Counts
2 → 53
Calls
Call 1
Inputs
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 (sin.f64 th) kx)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 ky (/.f64 (sin.f64 th) kx))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 ky (/.f64 kx (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 kx (*.f64 ky (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 ky (sin.f64 th)) kx)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 ky (sin.f64 th))) (neg.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 ky (sin.f64 th)) 1) kx)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 ky (sin.f64 th)) (pow.f64 (cbrt.f64 kx) 2)) (cbrt.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 kx)) (sqrt.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 th)) ky) (neg.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 ky (neg.f64 (sin.f64 th))) (neg.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 ky (/.f64 (sin.f64 th) kx)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 ky (/.f64 (sin.f64 th) kx)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 ky (/.f64 (sin.f64 th) kx))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 ky (/.f64 (sin.f64 th) kx))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 ky (/.f64 (sin.f64 th) kx)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 th) kx)) ky))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 ky (/.f64 (sin.f64 th) kx)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 ky 3) (pow.f64 (/.f64 (sin.f64 th) kx) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 th) kx) 3) (pow.f64 ky 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 ky (/.f64 (sin.f64 th) kx))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 ky (/.f64 (sin.f64 th) kx))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 ky (/.f64 (sin.f64 th) kx))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 th) kx)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 th) (/.f64 1 kx))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) kx) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 th) kx))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 th) kx)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) kx)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) kx)) 2) (cbrt.f64 (/.f64 (sin.f64 th) 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 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 th) kx)) (sqrt.f64 (/.f64 (sin.f64 th) kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 th)) (*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 1 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 th)) (/.f64 1 (neg.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 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)) kx))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 th)) 1) (/.f64 (sqrt.f64 (sin.f64 th)) kx))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 kx) 2)) (/.f64 (sin.f64 th) (cbrt.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (pow.f64 (cbrt.f64 kx) 2)) (cbrt.f64 (/.f64 (sin.f64 th) kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 kx) 2)) (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 kx)) (/.f64 (sin.f64 th) (sqrt.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (sqrt.f64 kx)) (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 th) kx) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 th) kx) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) kx)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 th) kx)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 kx (sin.f64 th)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 th) (neg.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 th) kx) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 th) kx)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) kx) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 kx 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) kx)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) kx)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 th) kx)))))))

simplify161.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
751×*-commutative_binary64
733×associate-*l/_binary64
618×associate-/l*_binary64
462×unswap-sqr_binary64
435×associate-/r/_binary64
Iterations

Useful iterations: 11 (0.0ms)

IterNodesCost
044474
1117470
2290470
3746456
42157446
54357446
65035446
75867446
85996446
96178446
106376446
117447443
Stop Event
1×node limit
Counts
93 → 70
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (*.f64 th ky) kx)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 ky (pow.f64 th 5)) kx)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx)))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 ky (pow.f64 th 7)) kx)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 ky (pow.f64 th 5)) kx)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx))))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 th kx)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 th 3) kx)) (/.f64 th kx))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 th 3) kx)) (+.f64 (/.f64 th kx) (*.f64 1/120 (/.f64 (pow.f64 th 5) kx))))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 th 3) kx)) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 th 7) kx)) (+.f64 (/.f64 th kx) (*.f64 1/120 (/.f64 (pow.f64 th 5) kx)))))
Outputs
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(/.f64 (*.f64 th ky) kx)
(/.f64 th (/.f64 kx ky))
(*.f64 (/.f64 ky kx) th)
(*.f64 th (/.f64 ky kx))
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx))
(fma.f64 -1/6 (/.f64 (*.f64 ky (pow.f64 th 3)) kx) (/.f64 th (/.f64 kx ky)))
(fma.f64 -1/6 (*.f64 (/.f64 ky kx) (pow.f64 th 3)) (*.f64 (/.f64 ky kx) th))
(fma.f64 -1/6 (*.f64 (pow.f64 th 3) (/.f64 ky kx)) (*.f64 th (/.f64 ky kx)))
(*.f64 (/.f64 ky kx) (+.f64 (*.f64 -1/6 (pow.f64 th 3)) th))
(*.f64 (/.f64 ky kx) (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))
(*.f64 ky (/.f64 (+.f64 th (*.f64 -1/6 (pow.f64 th 3))) kx))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 ky (pow.f64 th 5)) kx)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx)))
(fma.f64 1/120 (/.f64 ky (/.f64 kx (pow.f64 th 5))) (fma.f64 -1/6 (/.f64 (*.f64 ky (pow.f64 th 3)) kx) (/.f64 th (/.f64 kx ky))))
(fma.f64 1/120 (*.f64 (/.f64 ky kx) (pow.f64 th 5)) (fma.f64 -1/6 (*.f64 (/.f64 ky kx) (pow.f64 th 3)) (*.f64 (/.f64 ky kx) th)))
(fma.f64 1/120 (/.f64 ky (/.f64 kx (pow.f64 th 5))) (fma.f64 -1/6 (*.f64 (pow.f64 th 3) (/.f64 ky kx)) (*.f64 th (/.f64 ky kx))))
(fma.f64 th (/.f64 ky kx) (*.f64 (/.f64 ky kx) (+.f64 (*.f64 -1/6 (pow.f64 th 3)) (*.f64 1/120 (pow.f64 th 5)))))
(*.f64 (/.f64 ky kx) (+.f64 (*.f64 -1/6 (pow.f64 th 3)) (+.f64 th (*.f64 1/120 (pow.f64 th 5)))))
(*.f64 (/.f64 ky kx) (+.f64 th (+.f64 (*.f64 1/120 (pow.f64 th 5)) (*.f64 -1/6 (pow.f64 th 3)))))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 ky (pow.f64 th 7)) kx)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 ky (pow.f64 th 5)) kx)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 ky (pow.f64 th 3)) kx)) (/.f64 (*.f64 ky th) kx))))
(fma.f64 -1/5040 (/.f64 ky (/.f64 kx (pow.f64 th 7))) (fma.f64 1/120 (/.f64 ky (/.f64 kx (pow.f64 th 5))) (fma.f64 -1/6 (/.f64 (*.f64 ky (pow.f64 th 3)) kx) (/.f64 th (/.f64 kx ky)))))
(fma.f64 -1/5040 (*.f64 (/.f64 ky kx) (pow.f64 th 7)) (fma.f64 1/120 (*.f64 (/.f64 ky kx) (pow.f64 th 5)) (fma.f64 -1/6 (*.f64 (/.f64 ky kx) (pow.f64 th 3)) (*.f64 (/.f64 ky kx) th))))
(fma.f64 -1/5040 (/.f64 (pow.f64 th 7) (/.f64 kx ky)) (fma.f64 1/120 (/.f64 ky (/.f64 kx (pow.f64 th 5))) (fma.f64 -1/6 (*.f64 (pow.f64 th 3) (/.f64 ky kx)) (*.f64 th (/.f64 ky kx)))))
(+.f64 (*.f64 (/.f64 ky kx) (+.f64 (*.f64 -1/6 (pow.f64 th 3)) (*.f64 1/120 (pow.f64 th 5)))) (*.f64 (/.f64 ky kx) (+.f64 th (*.f64 -1/5040 (pow.f64 th 7)))))
(*.f64 (/.f64 ky kx) (+.f64 (+.f64 th (*.f64 -1/6 (pow.f64 th 3))) (+.f64 (*.f64 1/120 (pow.f64 th 5)) (*.f64 -1/5040 (pow.f64 th 7)))))
(*.f64 (/.f64 ky kx) (+.f64 th (+.f64 (*.f64 1/120 (pow.f64 th 5)) (+.f64 (*.f64 -1/6 (pow.f64 th 3)) (*.f64 -1/5040 (pow.f64 th 7))))))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(*.f64 (/.f64 (sin.f64 th) kx) ky)
(*.f64 ky (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(/.f64 th kx)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 th 3) kx)) (/.f64 th kx))
(fma.f64 -1/6 (/.f64 (pow.f64 th 3) kx) (/.f64 th kx))
(/.f64 (+.f64 th (*.f64 -1/6 (pow.f64 th 3))) kx)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 th 3) kx)) (+.f64 (/.f64 th kx) (*.f64 1/120 (/.f64 (pow.f64 th 5) kx))))
(+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 th 3) kx) (/.f64 th kx)) (*.f64 1/120 (/.f64 (pow.f64 th 5) kx)))
(fma.f64 -1/6 (/.f64 (pow.f64 th 3) kx) (fma.f64 1/120 (/.f64 (pow.f64 th 5) kx) (/.f64 th kx)))
(fma.f64 1/120 (/.f64 (pow.f64 th 5) kx) (/.f64 (+.f64 th (*.f64 -1/6 (pow.f64 th 3))) kx))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 th 3) kx)) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 th 7) kx)) (+.f64 (/.f64 th kx) (*.f64 1/120 (/.f64 (pow.f64 th 5) kx)))))
(fma.f64 -1/6 (/.f64 (pow.f64 th 3) kx) (fma.f64 -1/5040 (/.f64 (pow.f64 th 7) kx) (+.f64 (/.f64 th kx) (*.f64 1/120 (/.f64 (pow.f64 th 5) kx)))))
(fma.f64 -1/6 (/.f64 (pow.f64 th 3) kx) (fma.f64 -1/5040 (/.f64 (pow.f64 th 7) kx) (fma.f64 1/120 (/.f64 (pow.f64 th 5) kx) (/.f64 th kx))))
(fma.f64 -1/6 (/.f64 (pow.f64 th 3) kx) (fma.f64 1/120 (/.f64 (pow.f64 th 5) kx) (fma.f64 -1/5040 (/.f64 (pow.f64 th 7) kx) (/.f64 th kx))))
(fma.f64 1/120 (/.f64 (pow.f64 th 5) kx) (fma.f64 -1/5040 (/.f64 (pow.f64 th 7) kx) (/.f64 (+.f64 th (*.f64 -1/6 (pow.f64 th 3))) kx)))

localize24.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 ky)) (sin.f64 th))
✓0.1b
(/.f64 (sin.f64 ky) (neg.f64 ky))
Compiler

Compiled 24 to 8 computations (66.7% saved)

series11.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite75.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
806×pow1_binary64
743×add-log-exp_binary64
742×log1p-expm1-u_binary64
742×expm1-log1p-u_binary64
726×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0821
116717
2233117
Stop Event
1×node limit
Counts
2 → 58
Calls
Call 1
Inputs
(/.f64 (sin.f64 ky) (neg.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 ky)) (sin.f64 th))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 ky) ky)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 ky) (/.f64 1 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) ky) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 ky) ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 ky) ky)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) ky)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) ky)) 2) (cbrt.f64 (/.f64 (sin.f64 ky) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (*.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 1 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 ky) ky)) (sqrt.f64 (/.f64 (sin.f64 ky) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 1 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 ky)) (/.f64 1 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 ky) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sin.f64 ky) 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)) ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) 1) (/.f64 (sqrt.f64 (sin.f64 ky)) ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 ky) 2)) (/.f64 (sin.f64 ky) (cbrt.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (pow.f64 (cbrt.f64 ky) 2)) (cbrt.f64 (/.f64 (sin.f64 ky) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (cbrt.f64 ky) 2)) (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 ky)) (/.f64 (sin.f64 ky) (sqrt.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) (sqrt.f64 ky)) (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.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)) ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) -1) (/.f64 (sqrt.f64 (sin.f64 ky)) ky))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 ky) ky) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 ky) ky) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) ky)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) ky)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 ky (sin.f64 ky)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 ky) ky))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) ky) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 ky) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) ky) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 ky 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 ky) ky)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 ky (*.f64 (sin.f64 ky) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) ky)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 1) ky)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (cbrt.f64 ky) 2)) (cbrt.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 ky)) (sqrt.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) -1) ky)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) ky)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) ky)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 ky) 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) ky) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))))))))

simplify78.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
874×fma-def_binary64
677×associate-*l*_binary64
545×associate-*r*_binary64
389×times-frac_binary64
383×associate-/l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
067551
1197546
2491528
31556489
47011489
Stop Event
1×node limit
Counts
94 → 84
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 1/6 (pow.f64 ky 2)) 1)
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 ky 2)) (*.f64 -1/120 (pow.f64 ky 4))) 1)
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 ky 2)) (+.f64 (*.f64 1/5040 (pow.f64 ky 6)) (*.f64 -1/120 (pow.f64 ky 4)))) 1)
(*.f64 -1 (/.f64 (sin.f64 ky) ky))
(*.f64 -1 (/.f64 (sin.f64 ky) ky))
(*.f64 -1 (/.f64 (sin.f64 ky) ky))
(*.f64 -1 (/.f64 (sin.f64 ky) ky))
(*.f64 -1 (/.f64 (sin.f64 ky) ky))
(*.f64 -1 (/.f64 (sin.f64 ky) ky))
(*.f64 -1 (/.f64 (sin.f64 ky) ky))
(*.f64 -1 (/.f64 (sin.f64 ky) ky))
(*.f64 -1 (sin.f64 th))
(+.f64 (*.f64 -1 (sin.f64 th)) (*.f64 1/6 (*.f64 (sin.f64 th) (pow.f64 ky 2))))
(+.f64 (*.f64 -1 (sin.f64 th)) (+.f64 (*.f64 -1/120 (*.f64 (sin.f64 th) (pow.f64 ky 4))) (*.f64 1/6 (*.f64 (sin.f64 th) (pow.f64 ky 2)))))
(+.f64 (*.f64 -1 (sin.f64 th)) (+.f64 (*.f64 -1/120 (*.f64 (sin.f64 th) (pow.f64 ky 4))) (+.f64 (*.f64 1/5040 (*.f64 (sin.f64 th) (pow.f64 ky 6))) (*.f64 1/6 (*.f64 (sin.f64 th) (pow.f64 ky 2))))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 ky) th) ky))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) ky)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 ky) th) ky)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) ky)) (+.f64 (*.f64 -1/120 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 5)) ky)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 ky) th) ky))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) ky)) (+.f64 (*.f64 -1/120 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 5)) ky)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 7)) ky)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 ky) th) ky)))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
Outputs
-1
(-.f64 (*.f64 1/6 (pow.f64 ky 2)) 1)
(fma.f64 1/6 (*.f64 ky ky) -1)
(fma.f64 ky (*.f64 1/6 ky) -1)
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 ky 2)) (*.f64 -1/120 (pow.f64 ky 4))) 1)
(+.f64 (fma.f64 1/6 (*.f64 ky ky) (*.f64 -1/120 (pow.f64 ky 4))) -1)
(fma.f64 1/6 (*.f64 ky ky) (fma.f64 -1/120 (pow.f64 ky 4) -1))
(-.f64 (+.f64 (*.f64 1/6 (pow.f64 ky 2)) (+.f64 (*.f64 1/5040 (pow.f64 ky 6)) (*.f64 -1/120 (pow.f64 ky 4)))) 1)
(+.f64 (fma.f64 1/6 (*.f64 ky ky) (fma.f64 1/5040 (pow.f64 ky 6) (*.f64 -1/120 (pow.f64 ky 4)))) -1)
(+.f64 (fma.f64 -1/120 (pow.f64 ky 4) (*.f64 1/5040 (pow.f64 ky 6))) (fma.f64 1/6 (*.f64 ky ky) -1))
(fma.f64 1/6 (*.f64 ky ky) (fma.f64 -1/120 (pow.f64 ky 4) (fma.f64 1/5040 (pow.f64 ky 6) -1)))
(fma.f64 -1/120 (pow.f64 ky 4) (fma.f64 1/5040 (pow.f64 ky 6) (fma.f64 ky (*.f64 1/6 ky) -1)))
(*.f64 -1 (/.f64 (sin.f64 ky) ky))
(neg.f64 (/.f64 (sin.f64 ky) ky))
(/.f64 (neg.f64 (sin.f64 ky)) ky)
(*.f64 -1 (/.f64 (sin.f64 ky) ky))
(neg.f64 (/.f64 (sin.f64 ky) ky))
(/.f64 (neg.f64 (sin.f64 ky)) ky)
(*.f64 -1 (/.f64 (sin.f64 ky) ky))
(neg.f64 (/.f64 (sin.f64 ky) ky))
(/.f64 (neg.f64 (sin.f64 ky)) ky)
(*.f64 -1 (/.f64 (sin.f64 ky) ky))
(neg.f64 (/.f64 (sin.f64 ky) ky))
(/.f64 (neg.f64 (sin.f64 ky)) ky)
(*.f64 -1 (/.f64 (sin.f64 ky) ky))
(neg.f64 (/.f64 (sin.f64 ky) ky))
(/.f64 (neg.f64 (sin.f64 ky)) ky)
(*.f64 -1 (/.f64 (sin.f64 ky) ky))
(neg.f64 (/.f64 (sin.f64 ky) ky))
(/.f64 (neg.f64 (sin.f64 ky)) ky)
(*.f64 -1 (/.f64 (sin.f64 ky) ky))
(neg.f64 (/.f64 (sin.f64 ky) ky))
(/.f64 (neg.f64 (sin.f64 ky)) ky)
(*.f64 -1 (/.f64 (sin.f64 ky) ky))
(neg.f64 (/.f64 (sin.f64 ky) ky))
(/.f64 (neg.f64 (sin.f64 ky)) ky)
(*.f64 -1 (sin.f64 th))
(neg.f64 (sin.f64 th))
(+.f64 (*.f64 -1 (sin.f64 th)) (*.f64 1/6 (*.f64 (sin.f64 th) (pow.f64 ky 2))))
(fma.f64 -1 (sin.f64 th) (*.f64 1/6 (*.f64 (*.f64 ky ky) (sin.f64 th))))
(-.f64 (*.f64 1/6 (*.f64 (*.f64 ky ky) (sin.f64 th))) (sin.f64 th))
(*.f64 (sin.f64 th) (fma.f64 1/6 (*.f64 ky ky) -1))
(*.f64 (fma.f64 ky (*.f64 1/6 ky) -1) (sin.f64 th))
(+.f64 (*.f64 -1 (sin.f64 th)) (+.f64 (*.f64 -1/120 (*.f64 (sin.f64 th) (pow.f64 ky 4))) (*.f64 1/6 (*.f64 (sin.f64 th) (pow.f64 ky 2)))))
(fma.f64 -1 (sin.f64 th) (fma.f64 -1/120 (*.f64 (pow.f64 ky 4) (sin.f64 th)) (*.f64 1/6 (*.f64 (*.f64 ky ky) (sin.f64 th)))))
(-.f64 (fma.f64 1/6 (*.f64 (*.f64 ky ky) (sin.f64 th)) (*.f64 (pow.f64 ky 4) (*.f64 -1/120 (sin.f64 th)))) (sin.f64 th))
(-.f64 (*.f64 (sin.f64 th) (fma.f64 1/6 (*.f64 ky ky) (*.f64 -1/120 (pow.f64 ky 4)))) (sin.f64 th))
(*.f64 (sin.f64 th) (fma.f64 1/6 (*.f64 ky ky) (fma.f64 -1/120 (pow.f64 ky 4) -1)))
(+.f64 (*.f64 -1 (sin.f64 th)) (+.f64 (*.f64 -1/120 (*.f64 (sin.f64 th) (pow.f64 ky 4))) (+.f64 (*.f64 1/5040 (*.f64 (sin.f64 th) (pow.f64 ky 6))) (*.f64 1/6 (*.f64 (sin.f64 th) (pow.f64 ky 2))))))
(fma.f64 -1 (sin.f64 th) (fma.f64 -1/120 (*.f64 (pow.f64 ky 4) (sin.f64 th)) (fma.f64 1/5040 (*.f64 (pow.f64 ky 6) (sin.f64 th)) (*.f64 1/6 (*.f64 (*.f64 ky ky) (sin.f64 th))))))
(-.f64 (fma.f64 -1/120 (*.f64 (pow.f64 ky 4) (sin.f64 th)) (fma.f64 1/6 (*.f64 (*.f64 ky ky) (sin.f64 th)) (*.f64 1/5040 (*.f64 (pow.f64 ky 6) (sin.f64 th))))) (sin.f64 th))
(+.f64 (*.f64 (sin.f64 th) (fma.f64 1/6 (*.f64 ky ky) -1)) (*.f64 (sin.f64 th) (fma.f64 -1/120 (pow.f64 ky 4) (*.f64 1/5040 (pow.f64 ky 6)))))
(*.f64 (sin.f64 th) (fma.f64 -1/120 (pow.f64 ky 4) (fma.f64 1/5040 (pow.f64 ky 6) (fma.f64 ky (*.f64 1/6 ky) -1))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky))))
(/.f64 (neg.f64 (sin.f64 th)) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 (sin.f64 th)) ky))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky))))
(/.f64 (neg.f64 (sin.f64 th)) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 (sin.f64 th)) ky))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky))))
(/.f64 (neg.f64 (sin.f64 th)) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 (sin.f64 th)) ky))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky))))
(/.f64 (neg.f64 (sin.f64 th)) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 (sin.f64 th)) ky))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky))))
(/.f64 (neg.f64 (sin.f64 th)) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 (sin.f64 th)) ky))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky))))
(/.f64 (neg.f64 (sin.f64 th)) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 (sin.f64 th)) ky))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky))))
(/.f64 (neg.f64 (sin.f64 th)) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 (sin.f64 th)) ky))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky))))
(/.f64 (neg.f64 (sin.f64 th)) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 (sin.f64 th)) ky))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 ky) th) ky))
(neg.f64 (/.f64 (sin.f64 ky) (/.f64 ky th)))
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 ky th))
(*.f64 (/.f64 (sin.f64 ky) ky) (neg.f64 th))
(*.f64 (neg.f64 (/.f64 th ky)) (sin.f64 ky))
(*.f64 (/.f64 (neg.f64 th) ky) (sin.f64 ky))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) ky)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 ky) th) ky)))
(fma.f64 1/6 (/.f64 (sin.f64 ky) (/.f64 ky (pow.f64 th 3))) (neg.f64 (/.f64 (sin.f64 ky) (/.f64 ky th))))
(fma.f64 1/6 (*.f64 (/.f64 (sin.f64 ky) ky) (pow.f64 th 3)) (/.f64 (neg.f64 (sin.f64 ky)) (/.f64 ky th)))
(-.f64 (*.f64 1/6 (/.f64 (pow.f64 th 3) (/.f64 ky (sin.f64 ky)))) (/.f64 th (/.f64 ky (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) ky) (-.f64 (*.f64 1/6 (pow.f64 th 3)) th))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) ky)) (+.f64 (*.f64 -1/120 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 5)) ky)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 ky) th) ky))))
(fma.f64 1/6 (/.f64 (sin.f64 ky) (/.f64 ky (pow.f64 th 3))) (fma.f64 -1/120 (/.f64 (sin.f64 ky) (/.f64 ky (pow.f64 th 5))) (neg.f64 (/.f64 (sin.f64 ky) (/.f64 ky th)))))
(fma.f64 1/6 (*.f64 (/.f64 (sin.f64 ky) ky) (pow.f64 th 3)) (fma.f64 -1/120 (*.f64 (/.f64 (sin.f64 ky) ky) (pow.f64 th 5)) (/.f64 (neg.f64 (sin.f64 ky)) (/.f64 ky th))))
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 th 3) (/.f64 ky (sin.f64 ky))) (*.f64 -1/120 (/.f64 (pow.f64 th 5) (/.f64 ky (sin.f64 ky))))) (/.f64 th (/.f64 ky (sin.f64 ky))))
(fma.f64 1/6 (*.f64 (sin.f64 ky) (/.f64 (pow.f64 th 3) ky)) (*.f64 (/.f64 (sin.f64 ky) ky) (-.f64 (*.f64 -1/120 (pow.f64 th 5)) th)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) ky)) (+.f64 (*.f64 -1/120 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 5)) ky)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 7)) ky)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 ky) th) ky)))))
(fma.f64 1/6 (/.f64 (sin.f64 ky) (/.f64 ky (pow.f64 th 3))) (fma.f64 -1/120 (/.f64 (sin.f64 ky) (/.f64 ky (pow.f64 th 5))) (fma.f64 1/5040 (/.f64 (sin.f64 ky) (/.f64 ky (pow.f64 th 7))) (neg.f64 (/.f64 (sin.f64 ky) (/.f64 ky th))))))
(fma.f64 1/6 (*.f64 (/.f64 (sin.f64 ky) ky) (pow.f64 th 3)) (fma.f64 -1/120 (*.f64 (/.f64 (sin.f64 ky) ky) (pow.f64 th 5)) (-.f64 (/.f64 (*.f64 (*.f64 1/5040 (pow.f64 th 7)) (sin.f64 ky)) ky) (*.f64 (/.f64 (sin.f64 ky) ky) th))))
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 th 3) (/.f64 ky (sin.f64 ky))) (fma.f64 -1/120 (/.f64 (pow.f64 th 5) (/.f64 ky (sin.f64 ky))) (*.f64 (/.f64 1/5040 ky) (*.f64 (sin.f64 ky) (pow.f64 th 7))))) (/.f64 th (/.f64 ky (sin.f64 ky))))
(+.f64 (*.f64 (/.f64 (sin.f64 ky) ky) (-.f64 (*.f64 1/6 (pow.f64 th 3)) th)) (*.f64 (/.f64 (sin.f64 ky) ky) (+.f64 (*.f64 -1/120 (pow.f64 th 5)) (*.f64 1/5040 (pow.f64 th 7)))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky))))
(/.f64 (neg.f64 (sin.f64 th)) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 (sin.f64 th)) ky))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky))))
(/.f64 (neg.f64 (sin.f64 th)) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 (sin.f64 th)) ky))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky))))
(/.f64 (neg.f64 (sin.f64 th)) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 (sin.f64 th)) ky))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky))))
(/.f64 (neg.f64 (sin.f64 th)) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 (sin.f64 th)) ky))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky))))
(/.f64 (neg.f64 (sin.f64 th)) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 (sin.f64 th)) ky))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky))))
(/.f64 (neg.f64 (sin.f64 th)) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 (sin.f64 th)) ky))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky))))
(/.f64 (neg.f64 (sin.f64 th)) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 (sin.f64 th)) ky))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(neg.f64 (/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky))))
(/.f64 (neg.f64 (sin.f64 th)) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 (sin.f64 th)) ky))

localize49.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 kx kx) (*.f64 ky ky))
✓0.1b
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
✓0.1b
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky))))
✓30.6b
(sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))
Compiler

Compiled 56 to 11 computations (80.4% saved)

series60.0ms (0.1%)

Counts
4 → 108
Calls

27 calls:

TimeVariablePointExpression
19.0ms
ky
@inf
(+.f64 (*.f64 kx kx) (*.f64 ky ky))
3.0ms
ky
@0
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky))))
3.0ms
ky
@-inf
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky))))
2.0ms
ky
@0
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
2.0ms
kx
@inf
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky))))

rewrite125.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
688×prod-diff_binary64
624×log-prod_binary64
330×pow2_binary64
243×fma-def_binary64
229×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01235
125534
2344234
Stop Event
1×node limit
Counts
4 → 159
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(+.f64 (*.f64 kx kx) (*.f64 ky ky))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 ky) (/.f64 1 (hypot.f64 kx ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) 2)) (*.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 1 (hypot.f64 kx ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky))) 2) (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 1 (hypot.f64 kx ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky))) (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 ky)) (/.f64 1 (neg.f64 (hypot.f64 kx ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 kx ky)) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) 2)) 1) (/.f64 (cbrt.f64 (sin.f64 ky)) (hypot.f64 kx ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) 1) (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 kx ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2)) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 kx ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) 2)) (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2)) (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2)) (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (hypot.f64 kx ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (hypot.f64 kx ky))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 kx ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) 2)) (sqrt.f64 (hypot.f64 kx ky))) (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.f64 (hypot.f64 kx ky))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 kx ky) (sin.f64 ky)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (hypot.f64 kx ky) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (hypot.f64 kx ky) (sin.f64 ky)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (hypot.f64 kx ky))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (hypot.f64 kx ky) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx 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)) (/.f64 (sin.f64 ky) (hypot.f64 kx ky)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 kx ky))))))))) (#(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 kx ky))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 kx ky))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx ky) (sin.f64 th))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx ky) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 th) (/.f64 (hypot.f64 kx ky) (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (hypot.f64 kx 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 kx ky))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (hypot.f64 kx ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) 1) (hypot.f64 kx ky))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2)) (cbrt.f64 (hypot.f64 kx ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (hypot.f64 kx ky))) (sqrt.f64 (hypot.f64 kx ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (hypot.f64 kx ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (hypot.f64 kx ky)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx ky) (sin.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx ky) (sin.f64 th))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx ky) (sin.f64 th)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx ky) (sin.f64 th)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) 3) (pow.f64 (sin.f64 th) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 kx ky) (*.f64 (sin.f64 ky) (sin.f64 th))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx ky) (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 kx ky))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx ky) (sin.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx ky) (sin.f64 th))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx 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 kx ky)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx ky) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx ky) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx ky) (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx ky) (sin.f64 th)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 kx ky) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 kx 4) (-.f64 (*.f64 kx kx) (*.f64 ky ky))) (/.f64 (pow.f64 ky 4) (-.f64 (*.f64 kx kx) (*.f64 ky ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 kx ky) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 kx ky) (hypot.f64 kx ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 kx ky) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2) (*.f64 (cbrt.f64 (hypot.f64 kx ky)) (hypot.f64 kx ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2) 2) (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x 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(2) ((x /.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6)) (-.f64 (+.f64 (pow.f64 kx 4) (pow.f64 ky 4)) (pow.f64 (*.f64 kx ky) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6)) (+.f64 (pow.f64 ky 4) (-.f64 (pow.f64 kx 4) (pow.f64 (*.f64 kx ky) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4)) (-.f64 (*.f64 kx kx) (*.f64 ky ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 kx 6) (pow.f64 ky 6))) (neg.f64 (-.f64 (+.f64 (pow.f64 kx 4) (pow.f64 ky 4)) (pow.f64 (*.f64 kx ky) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 kx 4) (pow.f64 ky 4))) (neg.f64 (-.f64 (*.f64 kx kx) (*.f64 ky ky))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 ky 4) (pow.f64 kx 4)) (-.f64 (*.f64 ky ky) (*.f64 kx kx)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 kx ky) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 kx ky) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (hypot.f64 kx ky) 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (hypot.f64 kx ky) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 kx ky)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 kx 4) (pow.f64 ky 4)) (pow.f64 (*.f64 kx ky) 2)) (+.f64 (pow.f64 kx 6) (pow.f64 ky 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 kx kx) (*.f64 ky ky)) (-.f64 (pow.f64 kx 4) (pow.f64 ky 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 kx ky) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 kx ky) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 kx ky) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 kx kx))) (pow.f64 (exp.f64 ky) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 kx) kx) (+.f64 1 (expm1.f64 (*.f64 ky ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 kx kx))) (+.f64 1 (expm1.f64 (*.f64 ky ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 ky ky))) (pow.f64 (exp.f64 kx) kx)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 ky) ky) (+.f64 1 (expm1.f64 (*.f64 kx kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 ky ky))) (+.f64 1 (expm1.f64 (*.f64 kx kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 kx ky) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 kx ky) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 kx ky) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (hypot.f64 kx ky))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 kx ky))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 kx kx (*.f64 ky ky))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 kx kx) 1 (*.f64 ky ky))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 ky ky (*.f64 kx kx))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 ky ky) 1 (*.f64 kx kx))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 kx kx) (*.f64 ky ky))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 ky ky) (*.f64 kx kx))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 ky) 2) (cbrt.f64 (pow.f64 ky 4)) (*.f64 kx kx))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 ky) 2) (*.f64 (cbrt.f64 ky) ky) (*.f64 kx kx))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 ky 4)) (pow.f64 (cbrt.f64 ky) 2) (*.f64 kx kx))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 kx kx)) (cbrt.f64 (pow.f64 kx 4)) (*.f64 ky ky))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 kx kx)) (*.f64 (cbrt.f64 kx) kx) (*.f64 ky ky))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 kx 4)) (cbrt.f64 (*.f64 kx kx)) (*.f64 ky ky))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 kx) (*.f64 (sqrt.f64 kx) kx) (*.f64 ky ky))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 ky) (*.f64 (sqrt.f64 ky) ky) (*.f64 kx kx))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 ky (sqrt.f64 ky)) (sqrt.f64 ky) (*.f64 kx kx))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 kx (sqrt.f64 kx)) (sqrt.f64 kx) (*.f64 ky ky))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 ky (pow.f64 (cbrt.f64 ky) 2)) (cbrt.f64 ky) (*.f64 kx kx))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 kx (cbrt.f64 (*.f64 kx kx))) (cbrt.f64 kx) (*.f64 ky ky))))))

simplify167.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
864×associate-/l*_binary64
502×distribute-rgt-in_binary64
500×distribute-lft-in_binary64
361×fma-def_binary64
301×associate-/r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03213921
110503648
239093430
Stop Event
1×node limit
Counts
267 → 289
Calls
Call 1
Inputs
ky
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 kx 6) (pow.f64 ky 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky)))
kx
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) kx)) kx)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) kx)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3))) kx))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) kx)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 ky 6) (pow.f64 kx 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3))) kx)))
(*.f64 -1 kx)
(+.f64 (*.f64 -1 kx) (*.f64 -1/2 (/.f64 (pow.f64 ky 2) kx)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3))) (+.f64 (*.f64 -1 kx) (*.f64 -1/2 (/.f64 (pow.f64 ky 2) kx))))
(+.f64 (*.f64 -1/16 (/.f64 (pow.f64 ky 6) (pow.f64 kx 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3))) (+.f64 (*.f64 -1 kx) (*.f64 -1/2 (/.f64 (pow.f64 ky 2) kx)))))
kx
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) kx)) kx)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) kx)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3))) kx))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) kx)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 ky 6) (pow.f64 kx 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3))) kx)))
ky
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 kx 6) (pow.f64 ky 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky)))
(*.f64 -1 ky)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 kx 2) ky)) (*.f64 -1 ky))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 kx 2) ky)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3))) (*.f64 -1 ky)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 kx 2) ky)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3))) (+.f64 (*.f64 -1 ky) (*.f64 -1/16 (/.f64 (pow.f64 kx 6) (pow.f64 ky 5))))))
(/.f64 ky kx)
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 kx)) (*.f64 1/2 (/.f64 1 (pow.f64 kx 3)))) (pow.f64 ky 3))) (/.f64 ky kx))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 kx)) (*.f64 1/2 (/.f64 1 (pow.f64 kx 3)))) (pow.f64 ky 3))) (+.f64 (*.f64 (+.f64 (*.f64 1/120 (/.f64 1 kx)) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 kx 6)) (pow.f64 (/.f64 -1/2 (pow.f64 kx 3)) 2)) kx)) (*.f64 1/12 (/.f64 1 (pow.f64 kx 3))))) (pow.f64 ky 5)) (/.f64 ky kx)))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 1 (pow.f64 kx 8)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 kx 6)) (pow.f64 (/.f64 -1/2 (pow.f64 kx 3)) 2)) (pow.f64 kx 2)))) kx)) (*.f64 -1/12 (*.f64 (-.f64 (/.f64 1 (pow.f64 kx 6)) (pow.f64 (/.f64 -1/2 (pow.f64 kx 3)) 2)) kx))) (+.f64 (*.f64 1/5040 (/.f64 1 kx)) (*.f64 1/240 (/.f64 1 (pow.f64 kx 3))))) (pow.f64 ky 7)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 kx)) (*.f64 1/2 (/.f64 1 (pow.f64 kx 3)))) (pow.f64 ky 3))) (+.f64 (*.f64 (+.f64 (*.f64 1/120 (/.f64 1 kx)) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 kx 6)) (pow.f64 (/.f64 -1/2 (pow.f64 kx 3)) 2)) kx)) (*.f64 1/12 (/.f64 1 (pow.f64 kx 3))))) (pow.f64 ky 5)) (/.f64 ky kx))))
(/.f64 (sin.f64 ky) ky)
(+.f64 (/.f64 (sin.f64 ky) ky) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 kx 2)) (pow.f64 ky 3))))
(+.f64 (/.f64 (sin.f64 ky) ky) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 kx 2)) (pow.f64 ky 3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -1/2 (pow.f64 kx 2)) 2) (*.f64 -1 (pow.f64 kx 4))) (sin.f64 ky)) (pow.f64 ky 5)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 ky) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (pow.f64 (*.f64 -1/2 (pow.f64 kx 2)) 2) (*.f64 -1 (pow.f64 kx 4))) (pow.f64 kx 2))) (pow.f64 kx 6))) (pow.f64 ky 7))) (+.f64 (/.f64 (sin.f64 ky) ky) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 kx 2)) (pow.f64 ky 3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -1/2 (pow.f64 kx 2)) 2) (*.f64 -1 (pow.f64 kx 4))) (sin.f64 ky)) (pow.f64 ky 5))))))
(*.f64 -1 (/.f64 (sin.f64 ky) ky))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 ky) ky)) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 kx 2)) (pow.f64 ky 3))))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 ky) ky)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 kx 2)) (pow.f64 ky 3))) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 ky) (+.f64 (pow.f64 (*.f64 -1/2 (pow.f64 kx 2)) 2) (*.f64 -1 (pow.f64 kx 4)))) (pow.f64 ky 5)))))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 ky) ky)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 kx 2)) (pow.f64 ky 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 ky) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (pow.f64 (*.f64 -1/2 (pow.f64 kx 2)) 2) (*.f64 -1 (pow.f64 kx 4))) (pow.f64 kx 2))) (pow.f64 kx 6))) (pow.f64 ky 7))) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 ky) (+.f64 (pow.f64 (*.f64 -1/2 (pow.f64 kx 2)) 2) (*.f64 -1 (pow.f64 kx 4)))) (pow.f64 ky 5))))))
(/.f64 (sin.f64 ky) ky)
(+.f64 (/.f64 (sin.f64 ky) ky) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 kx 2)) (pow.f64 ky 3))))
(+.f64 (/.f64 (sin.f64 ky) ky) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 kx 2)) (pow.f64 ky 3))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 ky 6)) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2)) (*.f64 (sin.f64 ky) (*.f64 (pow.f64 kx 4) ky))))))
(+.f64 (/.f64 (sin.f64 ky) ky) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 kx 2)) (pow.f64 ky 3))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 ky 6)) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2)) (*.f64 (sin.f64 ky) (*.f64 (pow.f64 kx 4) ky)))) (*.f64 -1/2 (*.f64 (+.f64 (/.f64 1 (pow.f64 ky 8)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 ky 6)) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2)) (pow.f64 ky 2)))) (*.f64 (sin.f64 ky) (*.f64 (pow.f64 kx 6) ky)))))))
(/.f64 (sin.f64 ky) kx)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 ky 2)) (pow.f64 kx 3))) (/.f64 (sin.f64 ky) kx))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 ky 2)) (pow.f64 kx 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 ky) (+.f64 (*.f64 -1 (pow.f64 ky 4)) (pow.f64 (*.f64 -1/2 (pow.f64 ky 2)) 2))) (pow.f64 kx 5))) (/.f64 (sin.f64 ky) kx)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 ky 2)) (pow.f64 kx 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 ky) (+.f64 (*.f64 -1 (pow.f64 ky 4)) (pow.f64 (*.f64 -1/2 (pow.f64 ky 2)) 2))) (pow.f64 kx 5))) (+.f64 (/.f64 (sin.f64 ky) kx) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 ky) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 ky 2) (+.f64 (*.f64 -1 (pow.f64 ky 4)) (pow.f64 (*.f64 -1/2 (pow.f64 ky 2)) 2)))) (pow.f64 ky 6))) (pow.f64 kx 7))))))
(*.f64 -1 (/.f64 (sin.f64 ky) kx))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 ky) kx)) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 ky 2)) (pow.f64 kx 3))))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 ky) kx)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 ky 2)) (pow.f64 kx 3))) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 ky) (+.f64 (*.f64 -1 (pow.f64 ky 4)) (pow.f64 (*.f64 -1/2 (pow.f64 ky 2)) 2))) (pow.f64 kx 5)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 ky) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 ky 2) (+.f64 (*.f64 -1 (pow.f64 ky 4)) (pow.f64 (*.f64 -1/2 (pow.f64 ky 2)) 2)))) (pow.f64 ky 6))) (pow.f64 kx 7))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 ky) kx)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 ky 2)) (pow.f64 kx 3))) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 ky) (+.f64 (*.f64 -1 (pow.f64 ky 4)) (pow.f64 (*.f64 -1/2 (pow.f64 ky 2)) 2))) (pow.f64 kx 5))))))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(+.f64 (/.f64 (*.f64 (sin.f64 th) ky) kx) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 kx 3))) (*.f64 -1/6 (/.f64 (sin.f64 th) kx))) (pow.f64 ky 3)))
(+.f64 (/.f64 (*.f64 (sin.f64 th) ky) kx) (+.f64 (*.f64 (+.f64 (*.f64 1/120 (/.f64 (sin.f64 th) kx)) (+.f64 (*.f64 1/12 (/.f64 (sin.f64 th) (pow.f64 kx 3))) (*.f64 1/2 (*.f64 (sin.f64 th) (*.f64 (-.f64 (/.f64 1 (pow.f64 kx 6)) (pow.f64 (/.f64 -1/2 (pow.f64 kx 3)) 2)) kx))))) (pow.f64 ky 5)) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 kx 3))) (*.f64 -1/6 (/.f64 (sin.f64 th) kx))) (pow.f64 ky 3))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 1 (pow.f64 kx 8)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 kx 6)) (pow.f64 (/.f64 -1/2 (pow.f64 kx 3)) 2)) (pow.f64 kx 2)))) (*.f64 (sin.f64 th) kx))) (+.f64 (*.f64 -1/240 (/.f64 (sin.f64 th) (pow.f64 kx 3))) (+.f64 (*.f64 -1/5040 (/.f64 (sin.f64 th) kx)) (*.f64 -1/12 (*.f64 (sin.f64 th) (*.f64 (-.f64 (/.f64 1 (pow.f64 kx 6)) (pow.f64 (/.f64 -1/2 (pow.f64 kx 3)) 2)) kx)))))) (pow.f64 ky 7)) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) kx) (+.f64 (*.f64 (+.f64 (*.f64 1/120 (/.f64 (sin.f64 th) kx)) (+.f64 (*.f64 1/12 (/.f64 (sin.f64 th) (pow.f64 kx 3))) (*.f64 1/2 (*.f64 (sin.f64 th) (*.f64 (-.f64 (/.f64 1 (pow.f64 kx 6)) (pow.f64 (/.f64 -1/2 (pow.f64 kx 3)) 2)) kx))))) (pow.f64 ky 5)) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 kx 3))) (*.f64 -1/6 (/.f64 (sin.f64 th) kx))) (pow.f64 ky 3)))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (pow.f64 kx 2))) (pow.f64 ky 3))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (pow.f64 kx 2))) (pow.f64 ky 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (+.f64 (pow.f64 (*.f64 -1/2 (pow.f64 kx 2)) 2) (*.f64 -1 (pow.f64 kx 4))) (sin.f64 ky))) (pow.f64 ky 5))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (pow.f64 kx 2))) (pow.f64 ky 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (+.f64 (pow.f64 (*.f64 -1/2 (pow.f64 kx 2)) 2) (*.f64 -1 (pow.f64 kx 4))) (sin.f64 ky))) (pow.f64 ky 5))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (pow.f64 (*.f64 -1/2 (pow.f64 kx 2)) 2) (*.f64 -1 (pow.f64 kx 4))) (pow.f64 kx 2))) (pow.f64 kx 6)))) (pow.f64 ky 7))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (pow.f64 kx 2))) (pow.f64 ky 3))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (pow.f64 kx 2))) (pow.f64 ky 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (+.f64 (pow.f64 (*.f64 -1/2 (pow.f64 kx 2)) 2) (*.f64 -1 (pow.f64 kx 4))) (sin.f64 ky))) (pow.f64 ky 5)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (pow.f64 kx 2))) (pow.f64 ky 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (+.f64 (pow.f64 (*.f64 -1/2 (pow.f64 kx 2)) 2) (*.f64 -1 (pow.f64 kx 4))) (sin.f64 ky))) (pow.f64 ky 5))) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (pow.f64 (*.f64 -1/2 (pow.f64 kx 2)) 2) (*.f64 -1 (pow.f64 kx 4))) (pow.f64 kx 2))) (pow.f64 kx 6)))) (pow.f64 ky 7))))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (pow.f64 kx 2))) (pow.f64 ky 3))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (pow.f64 kx 2))) (pow.f64 ky 3))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 ky 6)) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2)) (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (*.f64 ky (pow.f64 kx 4)))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)))
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 1 (pow.f64 ky 8)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 ky 6)) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2)) (pow.f64 ky 2)))) (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (*.f64 ky (pow.f64 kx 6)))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (pow.f64 kx 2))) (pow.f64 ky 3))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 ky 6)) (pow.f64 (/.f64 -1/2 (pow.f64 ky 3)) 2)) (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (*.f64 ky (pow.f64 kx 4)))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (pow.f64 ky 2))) (pow.f64 kx 3))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (pow.f64 ky 2))) (pow.f64 kx 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (+.f64 (*.f64 -1 (pow.f64 ky 4)) (pow.f64 (*.f64 -1/2 (pow.f64 ky 2)) 2)))) (pow.f64 kx 5))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (pow.f64 ky 2))) (pow.f64 kx 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (+.f64 (*.f64 -1 (pow.f64 ky 4)) (pow.f64 (*.f64 -1/2 (pow.f64 ky 2)) 2)))) (pow.f64 kx 5))) (+.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 ky 2) (+.f64 (*.f64 -1 (pow.f64 ky 4)) (pow.f64 (*.f64 -1/2 (pow.f64 ky 2)) 2)))) (pow.f64 ky 6)))) (pow.f64 kx 7))))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (pow.f64 ky 2))) (pow.f64 kx 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (+.f64 (*.f64 -1 (pow.f64 ky 4)) (pow.f64 (*.f64 -1/2 (pow.f64 ky 2)) 2)))) (pow.f64 kx 5))) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (pow.f64 ky 2))) (pow.f64 kx 3)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (+.f64 (*.f64 -1 (pow.f64 ky 4)) (pow.f64 (*.f64 -1/2 (pow.f64 ky 2)) 2)))) (pow.f64 kx 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (pow.f64 ky 2))) (pow.f64 kx 3))) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 ky 2) (+.f64 (*.f64 -1 (pow.f64 ky 4)) (pow.f64 (*.f64 -1/2 (pow.f64 ky 2)) 2)))) (pow.f64 ky 6)))) (pow.f64 kx 7))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))) (*.f64 (sin.f64 ky) th))
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))) (*.f64 (sin.f64 ky) th)))
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))) (+.f64 (*.f64 1/120 (*.f64 (*.f64 (sin.f64 ky) (pow.f64 th 5)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))) (*.f64 (sin.f64 ky) th))))
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))) (+.f64 (*.f64 1/120 (*.f64 (*.f64 (sin.f64 ky) (pow.f64 th 5)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))) (*.f64 (sin.f64 ky) th)) (*.f64 -1/5040 (*.f64 (*.f64 (sin.f64 ky) (pow.f64 th 7)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))
(pow.f64 ky 2)
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(pow.f64 kx 2)
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(pow.f64 kx 2)
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(pow.f64 kx 2)
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(pow.f64 ky 2)
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(pow.f64 ky 2)
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
Outputs
ky
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky)
(fma.f64 1/2 (/.f64 (*.f64 kx kx) ky) ky)
(fma.f64 1/2 (/.f64 kx (/.f64 ky kx)) ky)
(fma.f64 1/2 (*.f64 (/.f64 kx ky) kx) ky)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky))
(fma.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3)) (fma.f64 1/2 (/.f64 (*.f64 kx kx) ky) ky))
(fma.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3)) (fma.f64 1/2 (/.f64 kx (/.f64 ky kx)) ky))
(fma.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3)) (fma.f64 1/2 (*.f64 (/.f64 kx ky) kx) ky))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 kx 6) (pow.f64 ky 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky)))
(fma.f64 1/16 (/.f64 (pow.f64 kx 6) (pow.f64 ky 5)) (fma.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3)) (fma.f64 1/2 (/.f64 (*.f64 kx kx) ky) ky)))
(fma.f64 1/16 (/.f64 (pow.f64 kx 6) (pow.f64 ky 5)) (fma.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3)) (fma.f64 1/2 (/.f64 kx (/.f64 ky kx)) ky)))
(fma.f64 1/16 (/.f64 (pow.f64 kx 6) (pow.f64 ky 5)) (fma.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3)) (fma.f64 1/2 (*.f64 (/.f64 kx ky) kx) ky)))
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)
(fma.f64 1/2 (*.f64 (/.f64 ky kx) ky) kx)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) kx)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3))) kx))
(fma.f64 1/2 (/.f64 (*.f64 ky ky) kx) (fma.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3)) kx))
(fma.f64 1/2 (/.f64 ky (/.f64 kx ky)) (fma.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3)) kx))
(fma.f64 1/2 (*.f64 (/.f64 ky kx) ky) (fma.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3)) kx))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) kx)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 ky 6) (pow.f64 kx 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3))) kx)))
(fma.f64 1/2 (/.f64 (*.f64 ky ky) kx) (fma.f64 1/16 (/.f64 (pow.f64 ky 6) (pow.f64 kx 5)) (fma.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3)) kx)))
(fma.f64 1/2 (/.f64 ky (/.f64 kx ky)) (fma.f64 1/16 (/.f64 (pow.f64 ky 6) (pow.f64 kx 5)) (fma.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3)) kx)))
(fma.f64 1/2 (*.f64 (/.f64 ky kx) ky) (fma.f64 1/16 (/.f64 (pow.f64 ky 6) (pow.f64 kx 5)) (fma.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3)) kx)))
(*.f64 -1 kx)
(neg.f64 kx)
(+.f64 (*.f64 -1 kx) (*.f64 -1/2 (/.f64 (pow.f64 ky 2) kx)))
(fma.f64 -1 kx (/.f64 (*.f64 (*.f64 ky ky) -1/2) kx))
(-.f64 (/.f64 -1/2 (/.f64 kx (*.f64 ky ky))) kx)
(-.f64 (*.f64 (*.f64 (/.f64 ky kx) ky) -1/2) kx)
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3))) (+.f64 (*.f64 -1 kx) (*.f64 -1/2 (/.f64 (pow.f64 ky 2) kx))))
(fma.f64 1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3)) (fma.f64 -1 kx (/.f64 (*.f64 (*.f64 ky ky) -1/2) kx)))
(fma.f64 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3)) 1/8 (-.f64 (/.f64 -1/2 (/.f64 kx (*.f64 ky ky))) kx))
(fma.f64 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3)) 1/8 (-.f64 (*.f64 (*.f64 (/.f64 ky kx) ky) -1/2) kx))
(+.f64 (*.f64 -1/16 (/.f64 (pow.f64 ky 6) (pow.f64 kx 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3))) (+.f64 (*.f64 -1 kx) (*.f64 -1/2 (/.f64 (pow.f64 ky 2) kx)))))
(fma.f64 -1/16 (/.f64 (pow.f64 ky 6) (pow.f64 kx 5)) (fma.f64 1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3)) (fma.f64 -1 kx (/.f64 (*.f64 (*.f64 ky ky) -1/2) kx))))
(fma.f64 (/.f64 (pow.f64 ky 6) (pow.f64 kx 5)) -1/16 (fma.f64 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3)) 1/8 (-.f64 (/.f64 -1/2 (/.f64 kx (*.f64 ky ky))) kx)))
(fma.f64 (/.f64 (pow.f64 ky 6) (pow.f64 kx 5)) -1/16 (fma.f64 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3)) 1/8 (-.f64 (*.f64 (*.f64 (/.f64 ky kx) ky) -1/2) 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)
(fma.f64 1/2 (*.f64 (/.f64 ky kx) ky) kx)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) kx)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3))) kx))
(fma.f64 1/2 (/.f64 (*.f64 ky ky) kx) (fma.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3)) kx))
(fma.f64 1/2 (/.f64 ky (/.f64 kx ky)) (fma.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3)) kx))
(fma.f64 1/2 (*.f64 (/.f64 ky kx) ky) (fma.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3)) kx))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 ky 2) kx)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 ky 6) (pow.f64 kx 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3))) kx)))
(fma.f64 1/2 (/.f64 (*.f64 ky ky) kx) (fma.f64 1/16 (/.f64 (pow.f64 ky 6) (pow.f64 kx 5)) (fma.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3)) kx)))
(fma.f64 1/2 (/.f64 ky (/.f64 kx ky)) (fma.f64 1/16 (/.f64 (pow.f64 ky 6) (pow.f64 kx 5)) (fma.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3)) kx)))
(fma.f64 1/2 (*.f64 (/.f64 ky kx) ky) (fma.f64 1/16 (/.f64 (pow.f64 ky 6) (pow.f64 kx 5)) (fma.f64 -1/8 (/.f64 (pow.f64 ky 4) (pow.f64 kx 3)) kx)))
ky
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky)
(fma.f64 1/2 (/.f64 (*.f64 kx kx) ky) ky)
(fma.f64 1/2 (/.f64 kx (/.f64 ky kx)) ky)
(fma.f64 1/2 (*.f64 (/.f64 kx ky) kx) ky)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky))
(fma.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3)) (fma.f64 1/2 (/.f64 (*.f64 kx kx) ky) ky))
(fma.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3)) (fma.f64 1/2 (/.f64 kx (/.f64 ky kx)) ky))
(fma.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3)) (fma.f64 1/2 (*.f64 (/.f64 kx ky) kx) ky))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 kx 6) (pow.f64 ky 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 kx 2) ky)) ky)))
(fma.f64 1/16 (/.f64 (pow.f64 kx 6) (pow.f64 ky 5)) (fma.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3)) (fma.f64 1/2 (/.f64 (*.f64 kx kx) ky) ky)))
(fma.f64 1/16 (/.f64 (pow.f64 kx 6) (pow.f64 ky 5)) (fma.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3)) (fma.f64 1/2 (/.f64 kx (/.f64 ky kx)) ky)))
(fma.f64 1/16 (/.f64 (pow.f64 kx 6) (pow.f64 ky 5)) (fma.f64 -1/8 (/.f64 (pow.f64 kx 4) (pow.f64 ky 3)) (fma.f64 1/2 (*.f64 (/.f64 kx ky) kx) ky)))
(*.f64 -1 ky)
(neg.f64 ky)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 kx 2) ky)) (*.f64 -1 ky))
(fma.f64 -1/2 (/.f64 (*.f64 kx kx) ky) (neg.f64 ky))
(-.f64 (*.f64 (/.f64 kx (/.f64 ky kx)) -1/2) ky)
(-.f64 (*.f64 (*.f64 (/.f64 kx ky) kx) -1/2) ky)
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(fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 ky) (pow.f64 ky 7)) (fma.f64 (*.f64 1/2 (*.f64 (pow.f64 kx 4) -3/4)) (*.f64 kx kx) (pow.f64 kx 6))) (fma.f64 -1/2 (+.f64 (/.f64 (*.f64 (*.f64 kx kx) (sin.f64 ky)) (pow.f64 ky 3)) (*.f64 (/.f64 (sin.f64 ky) (pow.f64 ky 5)) (*.f64 (pow.f64 kx 4) -3/4))) (/.f64 (sin.f64 ky) ky)))
(*.f64 -1 (/.f64 (sin.f64 ky) ky))
(neg.f64 (/.f64 (sin.f64 ky) ky))
(/.f64 (neg.f64 (sin.f64 ky)) ky)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 ky) ky)) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 kx 2)) (pow.f64 ky 3))))
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(-.f64 (*.f64 1/2 (/.f64 (*.f64 kx kx) (/.f64 (pow.f64 ky 3) (sin.f64 ky)))) (/.f64 (sin.f64 ky) ky))
(-.f64 (*.f64 1/2 (/.f64 (*.f64 (*.f64 kx kx) (sin.f64 ky)) (pow.f64 ky 3))) (/.f64 (sin.f64 ky) ky))
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(-.f64 (*.f64 1/2 (+.f64 (/.f64 (*.f64 kx kx) (/.f64 (pow.f64 ky 3) (sin.f64 ky))) (*.f64 (/.f64 (sin.f64 ky) (pow.f64 ky 5)) (-.f64 (*.f64 (pow.f64 kx 4) 1/4) (pow.f64 kx 4))))) (/.f64 (sin.f64 ky) ky))
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(/.f64 (sin.f64 ky) kx)
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(fma.f64 -1/2 (/.f64 (sin.f64 ky) (/.f64 (pow.f64 kx 3) (*.f64 ky ky))) (/.f64 (sin.f64 ky) kx))
(fma.f64 -1/2 (/.f64 (*.f64 ky ky) (/.f64 (pow.f64 kx 3) (sin.f64 ky))) (/.f64 (sin.f64 ky) kx))
(fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 ky) (pow.f64 kx 3)) (*.f64 ky ky)) (/.f64 (sin.f64 ky) kx))
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(fma.f64 -1/2 (/.f64 (*.f64 ky ky) (/.f64 (pow.f64 kx 3) (sin.f64 ky))) (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 ky) (pow.f64 kx 5)) (-.f64 (*.f64 (pow.f64 ky 4) 1/4) (pow.f64 ky 4))) (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 ky) (pow.f64 kx 7)) (fma.f64 1/2 (*.f64 ky (*.f64 ky (-.f64 (*.f64 (pow.f64 ky 4) 1/4) (pow.f64 ky 4)))) (pow.f64 ky 6))) (/.f64 (sin.f64 ky) kx))))
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(*.f64 -1 (/.f64 (sin.f64 ky) kx))
(neg.f64 (/.f64 (sin.f64 ky) kx))
(/.f64 (neg.f64 (sin.f64 ky)) kx)
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(-.f64 (*.f64 1/2 (/.f64 (*.f64 ky ky) (/.f64 (pow.f64 kx 3) (sin.f64 ky)))) (/.f64 (sin.f64 ky) kx))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 (sin.f64 ky) (pow.f64 kx 3)) (*.f64 ky ky))) (/.f64 (sin.f64 ky) kx))
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(-.f64 (*.f64 1/2 (+.f64 (/.f64 (*.f64 ky ky) (/.f64 (pow.f64 kx 3) (sin.f64 ky))) (*.f64 (/.f64 (sin.f64 ky) (pow.f64 kx 5)) (-.f64 (*.f64 (pow.f64 ky 4) 1/4) (pow.f64 ky 4))))) (/.f64 (sin.f64 ky) kx))
(-.f64 (*.f64 1/2 (+.f64 (*.f64 (/.f64 (sin.f64 ky) (pow.f64 kx 3)) (*.f64 ky ky)) (*.f64 (/.f64 (sin.f64 ky) (pow.f64 kx 5)) (*.f64 (pow.f64 ky 4) -3/4)))) (/.f64 (sin.f64 ky) kx))
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(-.f64 (*.f64 1/2 (+.f64 (*.f64 (/.f64 (sin.f64 ky) (pow.f64 kx 7)) (fma.f64 1/2 (*.f64 ky (*.f64 ky (*.f64 (pow.f64 ky 4) -3/4))) (pow.f64 ky 6))) (+.f64 (*.f64 (/.f64 (sin.f64 ky) (pow.f64 kx 3)) (*.f64 ky ky)) (*.f64 (/.f64 (sin.f64 ky) (pow.f64 kx 5)) (*.f64 (pow.f64 ky 4) -3/4))))) (/.f64 (sin.f64 ky) kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 ky (/.f64 kx (sin.f64 th)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
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(fma.f64 (pow.f64 ky 3) (fma.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 kx 3)) (*.f64 -1/6 (/.f64 (sin.f64 th) kx))) (/.f64 ky (/.f64 kx (sin.f64 th))))
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(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
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(fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 ky 3) (*.f64 (*.f64 kx kx) (sin.f64 ky)))) (/.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky))))
(fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 ky 3)) (*.f64 kx (*.f64 kx (sin.f64 ky)))) (*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky)))
(fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 ky 3) (*.f64 (*.f64 kx kx) (sin.f64 ky)))) (/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th))))
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(/.f64 (neg.f64 (sin.f64 th)) (/.f64 kx (sin.f64 ky)))
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 kx (sin.f64 th)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (pow.f64 ky 2))) (pow.f64 kx 3))))
(fma.f64 -1 (/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))) (*.f64 1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 kx 3) (*.f64 (*.f64 ky ky) (sin.f64 ky))))))
(-.f64 (/.f64 (*.f64 1/2 (sin.f64 th)) (/.f64 (pow.f64 kx 3) (*.f64 (*.f64 ky ky) (sin.f64 ky)))) (/.f64 (sin.f64 ky) (/.f64 kx (sin.f64 th))))
(-.f64 (*.f64 (/.f64 1/2 (pow.f64 kx 3)) (*.f64 (*.f64 ky ky) (*.f64 (sin.f64 ky) (sin.f64 th)))) (*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (+.f64 (*.f64 -1 (pow.f64 ky 4)) (pow.f64 (*.f64 -1/2 (pow.f64 ky 2)) 2)))) (pow.f64 kx 5))) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (pow.f64 ky 2))) (pow.f64 kx 3)))))
(fma.f64 -1 (/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))) (*.f64 1/2 (+.f64 (/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fma.f64 -1 (pow.f64 ky 4) (pow.f64 (*.f64 (*.f64 ky ky) -1/2) 2))) (pow.f64 kx 5)) (/.f64 (sin.f64 th) (/.f64 (pow.f64 kx 3) (*.f64 (*.f64 ky ky) (sin.f64 ky)))))))
(-.f64 (*.f64 1/2 (+.f64 (*.f64 (/.f64 (sin.f64 th) (pow.f64 kx 3)) (*.f64 (*.f64 ky ky) (sin.f64 ky))) (*.f64 (/.f64 (sin.f64 th) (pow.f64 kx 5)) (*.f64 (sin.f64 ky) (-.f64 (*.f64 (pow.f64 ky 4) 1/4) (pow.f64 ky 4)))))) (/.f64 (sin.f64 ky) (/.f64 kx (sin.f64 th))))
(fma.f64 1/2 (+.f64 (*.f64 (*.f64 (/.f64 (sin.f64 ky) (pow.f64 kx 3)) (*.f64 ky ky)) (sin.f64 th)) (*.f64 (*.f64 (/.f64 (sin.f64 ky) (pow.f64 kx 5)) (*.f64 (pow.f64 ky 4) -3/4)) (sin.f64 th))) (/.f64 (neg.f64 (sin.f64 ky)) (/.f64 kx (sin.f64 th))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (+.f64 (*.f64 -1 (pow.f64 ky 4)) (pow.f64 (*.f64 -1/2 (pow.f64 ky 2)) 2)))) (pow.f64 kx 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (pow.f64 ky 2))) (pow.f64 kx 3))) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 ky 2) (+.f64 (*.f64 -1 (pow.f64 ky 4)) (pow.f64 (*.f64 -1/2 (pow.f64 ky 2)) 2)))) (pow.f64 ky 6)))) (pow.f64 kx 7))))))
(fma.f64 -1 (/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky))) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fma.f64 -1 (pow.f64 ky 4) (pow.f64 (*.f64 (*.f64 ky ky) -1/2) 2))) (pow.f64 kx 5)) (*.f64 1/2 (+.f64 (/.f64 (sin.f64 th) (/.f64 (pow.f64 kx 3) (*.f64 (*.f64 ky ky) (sin.f64 ky)))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fma.f64 1/2 (*.f64 (*.f64 ky ky) (fma.f64 -1 (pow.f64 ky 4) (pow.f64 (*.f64 (*.f64 ky ky) -1/2) 2))) (pow.f64 ky 6))) (pow.f64 kx 7))))))
(-.f64 (*.f64 1/2 (+.f64 (+.f64 (*.f64 (/.f64 (sin.f64 th) (pow.f64 kx 3)) (*.f64 (*.f64 ky ky) (sin.f64 ky))) (*.f64 (/.f64 (sin.f64 th) (pow.f64 kx 5)) (*.f64 (sin.f64 ky) (-.f64 (*.f64 (pow.f64 ky 4) 1/4) (pow.f64 ky 4))))) (*.f64 (/.f64 (sin.f64 th) (pow.f64 kx 7)) (*.f64 (sin.f64 ky) (fma.f64 1/2 (*.f64 ky (*.f64 ky (-.f64 (*.f64 (pow.f64 ky 4) 1/4) (pow.f64 ky 4)))) (pow.f64 ky 6)))))) (/.f64 (sin.f64 ky) (/.f64 kx (sin.f64 th))))
(-.f64 (*.f64 1/2 (+.f64 (+.f64 (*.f64 (*.f64 (/.f64 (sin.f64 ky) (pow.f64 kx 3)) (*.f64 ky ky)) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 kx 7)) (*.f64 (sin.f64 ky) (fma.f64 1/2 (*.f64 ky (*.f64 ky (*.f64 (pow.f64 ky 4) -3/4))) (pow.f64 ky 6))))) (*.f64 (*.f64 (/.f64 (sin.f64 ky) (pow.f64 kx 5)) (*.f64 (pow.f64 ky 4) -3/4)) (sin.f64 th)))) (*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) th))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 ky ky (*.f64 kx kx)))) (*.f64 (sin.f64 ky) th))
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))) (*.f64 (sin.f64 ky) th)))
(fma.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (pow.f64 th 3))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) th)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 ky ky (*.f64 kx kx)))) (+.f64 (*.f64 (sin.f64 ky) th) (*.f64 (*.f64 -1/6 (sin.f64 ky)) (pow.f64 th 3))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 ky ky (*.f64 kx kx)))) (*.f64 (sin.f64 ky) (+.f64 th (*.f64 -1/6 (pow.f64 th 3)))))
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))) (+.f64 (*.f64 1/120 (*.f64 (*.f64 (sin.f64 ky) (pow.f64 th 5)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))) (*.f64 (sin.f64 ky) th))))
(fma.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (pow.f64 th 3))) (fma.f64 1/120 (*.f64 (sin.f64 ky) (*.f64 (pow.f64 th 5) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) th))))
(fma.f64 -1/6 (*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 ky ky (*.f64 kx kx)))) (pow.f64 th 3))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 ky ky (*.f64 kx kx)))) (+.f64 (*.f64 (sin.f64 ky) th) (*.f64 1/120 (*.f64 (sin.f64 ky) (pow.f64 th 5))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 ky ky (*.f64 kx kx)))) (+.f64 (*.f64 (*.f64 -1/6 (sin.f64 ky)) (pow.f64 th 3)) (*.f64 (sin.f64 ky) (+.f64 th (*.f64 1/120 (pow.f64 th 5))))))
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))) (+.f64 (*.f64 1/120 (*.f64 (*.f64 (sin.f64 ky) (pow.f64 th 5)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))) (*.f64 (sin.f64 ky) th)) (*.f64 -1/5040 (*.f64 (*.f64 (sin.f64 ky) (pow.f64 th 7)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))))))
(fma.f64 -1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (pow.f64 th 3))) (fma.f64 1/120 (*.f64 (sin.f64 ky) (*.f64 (pow.f64 th 5) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))))) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) th) (*.f64 -1/5040 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (pow.f64 th 7)))))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 ky ky (*.f64 kx kx)))) (+.f64 (*.f64 (sin.f64 ky) th) (*.f64 (*.f64 -1/5040 (pow.f64 th 7)) (sin.f64 ky)))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 ky ky (*.f64 kx kx)))) (+.f64 (*.f64 (*.f64 -1/6 (sin.f64 ky)) (pow.f64 th 3)) (*.f64 1/120 (*.f64 (sin.f64 ky) (pow.f64 th 5))))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 ky ky (*.f64 kx kx)))) (+.f64 (*.f64 (sin.f64 ky) (+.f64 (*.f64 -1/6 (pow.f64 th 3)) (*.f64 1/120 (pow.f64 th 5)))) (*.f64 (sin.f64 ky) (+.f64 th (*.f64 -1/5040 (pow.f64 th 7))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (fma.f64 ky ky (*.f64 kx kx)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (fma.f64 ky ky (*.f64 kx kx)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (fma.f64 ky ky (*.f64 kx kx)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (fma.f64 ky ky (*.f64 kx kx)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (fma.f64 ky ky (*.f64 kx kx)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (fma.f64 ky ky (*.f64 kx kx)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (fma.f64 ky ky (*.f64 kx kx)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 kx 2) (pow.f64 ky 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 1 (fma.f64 ky ky (*.f64 kx kx)))))
(pow.f64 ky 2)
(*.f64 ky ky)
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(+.f64 (*.f64 kx kx) (*.f64 ky ky))
(fma.f64 ky ky (*.f64 kx kx))
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(+.f64 (*.f64 kx kx) (*.f64 ky ky))
(fma.f64 ky ky (*.f64 kx kx))
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(+.f64 (*.f64 kx kx) (*.f64 ky ky))
(fma.f64 ky ky (*.f64 kx kx))
(pow.f64 kx 2)
(*.f64 kx kx)
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(+.f64 (*.f64 kx kx) (*.f64 ky ky))
(fma.f64 ky ky (*.f64 kx kx))
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(+.f64 (*.f64 kx kx) (*.f64 ky ky))
(fma.f64 ky ky (*.f64 kx kx))
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(+.f64 (*.f64 kx kx) (*.f64 ky ky))
(fma.f64 ky ky (*.f64 kx kx))
(pow.f64 kx 2)
(*.f64 kx kx)
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(+.f64 (*.f64 kx kx) (*.f64 ky ky))
(fma.f64 ky ky (*.f64 kx kx))
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(+.f64 (*.f64 kx kx) (*.f64 ky ky))
(fma.f64 ky ky (*.f64 kx kx))
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(+.f64 (*.f64 kx kx) (*.f64 ky ky))
(fma.f64 ky ky (*.f64 kx kx))
(pow.f64 kx 2)
(*.f64 kx kx)
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(+.f64 (*.f64 kx kx) (*.f64 ky ky))
(fma.f64 ky ky (*.f64 kx kx))
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(+.f64 (*.f64 kx kx) (*.f64 ky ky))
(fma.f64 ky ky (*.f64 kx kx))
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(+.f64 (*.f64 kx kx) (*.f64 ky ky))
(fma.f64 ky ky (*.f64 kx kx))
(pow.f64 ky 2)
(*.f64 ky ky)
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(+.f64 (*.f64 kx kx) (*.f64 ky ky))
(fma.f64 ky ky (*.f64 kx kx))
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(+.f64 (*.f64 kx kx) (*.f64 ky ky))
(fma.f64 ky ky (*.f64 kx kx))
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(+.f64 (*.f64 kx kx) (*.f64 ky ky))
(fma.f64 ky ky (*.f64 kx kx))
(pow.f64 ky 2)
(*.f64 ky ky)
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(+.f64 (*.f64 kx kx) (*.f64 ky ky))
(fma.f64 ky ky (*.f64 kx kx))
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(+.f64 (*.f64 kx kx) (*.f64 ky ky))
(fma.f64 ky ky (*.f64 kx kx))
(+.f64 (pow.f64 kx 2) (pow.f64 ky 2))
(+.f64 (*.f64 kx kx) (*.f64 ky ky))
(fma.f64 ky ky (*.f64 kx kx))

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (sin.f64 th) (sin.f64 ky))
✓0.7b
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) 3)
✓1.5b
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) 3) kx)
✓5.5b
(cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))
Compiler

Compiled 40 to 13 computations (67.5% saved)

series48.0ms (0.1%)

Counts
3 → 68
Calls

21 calls:

TimeVariablePointExpression
9.0ms
ky
@-inf
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) 3) kx)
5.0ms
th
@-inf
(cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))
4.0ms
th
@inf
(cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))
3.0ms
ky
@-inf
(cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))
3.0ms
ky
@inf
(cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))

rewrite114.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
546×log-prod_binary64
313×pow-prod-down_binary64
309×prod-diff_binary64
278×pow2_binary64
193×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01129
123729
2285729
Stop Event
1×node limit
Counts
3 → 130
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) 3) kx)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) 3)
Outputs
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ky))) (sqrt.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (sin.f64 th)) 2)) (cbrt.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 th))) (sqrt.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) 2) 1) (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) 2) (cbrt.f64 (sin.f64 th))) (cbrt.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky)))) -2)))) (#(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 (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 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 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))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))) 2))))))

simplify139.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
958×distribute-lft-out_binary64
784×unswap-sqr_binary64
517×associate-*r*_binary64
482×associate-*l*_binary64
412×associate-*l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
055902
1161852
2393848
31201804
44092776
55569776
67801776
Stop Event
1×node limit
Counts
198 → 150
Calls
Call 1
Inputs
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1/3)
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1/3)
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1/3)
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1/3)
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1/3)
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1/3)
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1/3)
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1/3)
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1/3)
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1/3)
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1/3)
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1/3)
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1/3)
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1/3)
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1/3)
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1/3)
(/.f64 (*.f64 (sin.f64 ky) th) kx)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) kx)) (/.f64 (*.f64 (sin.f64 ky) th) kx))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) kx)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 5)) kx)) (/.f64 (*.f64 (sin.f64 ky) th) kx)))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 7)) kx)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) kx)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 5)) kx)) (/.f64 (*.f64 (sin.f64 ky) th) kx))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(+.f64 (/.f64 (*.f64 (sin.f64 th) ky) kx) (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) kx)))
(+.f64 (/.f64 (*.f64 (sin.f64 th) ky) kx) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 5)) kx)) (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) kx))))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 7)) kx)) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) kx) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 5)) kx)) (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) kx)))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 th) (sin.f64 ky)))
Outputs
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))
(pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) th) kx)
(/.f64 (sin.f64 ky) (/.f64 kx th))
(*.f64 (/.f64 (sin.f64 ky) kx) th)
(*.f64 th (/.f64 (sin.f64 ky) kx))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) kx)) (/.f64 (*.f64 (sin.f64 ky) th) kx))
(fma.f64 -1/6 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) kx) (/.f64 (sin.f64 ky) (/.f64 kx th)))
(fma.f64 -1/6 (*.f64 (/.f64 (sin.f64 ky) kx) (pow.f64 th 3)) (*.f64 (/.f64 (sin.f64 ky) kx) th))
(fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 th 3) kx) (sin.f64 ky)) (*.f64 th (/.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) kx) (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) kx)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 5)) kx)) (/.f64 (*.f64 (sin.f64 ky) th) kx)))
(fma.f64 -1/6 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) kx) (fma.f64 1/120 (/.f64 (sin.f64 ky) (/.f64 kx (pow.f64 th 5))) (/.f64 (sin.f64 ky) (/.f64 kx th))))
(fma.f64 -1/6 (*.f64 (/.f64 (sin.f64 ky) kx) (pow.f64 th 3)) (fma.f64 1/120 (*.f64 (/.f64 (sin.f64 ky) kx) (pow.f64 th 5)) (*.f64 (/.f64 (sin.f64 ky) kx) th)))
(fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 th 3) kx) (sin.f64 ky)) (fma.f64 1/120 (*.f64 (pow.f64 th 5) (/.f64 (sin.f64 ky) kx)) (*.f64 th (/.f64 (sin.f64 ky) kx))))
(fma.f64 th (/.f64 (sin.f64 ky) kx) (*.f64 (/.f64 (sin.f64 ky) kx) (+.f64 (*.f64 -1/6 (pow.f64 th 3)) (*.f64 1/120 (pow.f64 th 5)))))
(*.f64 (/.f64 (sin.f64 ky) kx) (+.f64 th (+.f64 (*.f64 1/120 (pow.f64 th 5)) (*.f64 -1/6 (pow.f64 th 3)))))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 7)) kx)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) kx)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 5)) kx)) (/.f64 (*.f64 (sin.f64 ky) th) kx))))
(fma.f64 -1/5040 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 7)) kx) (fma.f64 -1/6 (/.f64 (*.f64 (sin.f64 ky) (pow.f64 th 3)) kx) (fma.f64 1/120 (/.f64 (sin.f64 ky) (/.f64 kx (pow.f64 th 5))) (/.f64 (sin.f64 ky) (/.f64 kx th)))))
(fma.f64 -1/5040 (*.f64 (/.f64 (sin.f64 ky) kx) (pow.f64 th 7)) (fma.f64 -1/6 (*.f64 (/.f64 (sin.f64 ky) kx) (pow.f64 th 3)) (fma.f64 1/120 (*.f64 (/.f64 (sin.f64 ky) kx) (pow.f64 th 5)) (*.f64 (/.f64 (sin.f64 ky) kx) th))))
(fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 th 3) kx) (sin.f64 ky)) (fma.f64 -1/5040 (*.f64 (pow.f64 th 7) (/.f64 (sin.f64 ky) kx)) (fma.f64 1/120 (*.f64 (pow.f64 th 5) (/.f64 (sin.f64 ky) kx)) (*.f64 th (/.f64 (sin.f64 ky) kx)))))
(+.f64 (*.f64 (/.f64 (sin.f64 ky) kx) (+.f64 (*.f64 -1/6 (pow.f64 th 3)) (*.f64 1/120 (pow.f64 th 5)))) (*.f64 (/.f64 (sin.f64 ky) kx) (+.f64 th (*.f64 -1/5040 (pow.f64 th 7)))))
(*.f64 (/.f64 (sin.f64 ky) kx) (+.f64 (+.f64 (*.f64 1/120 (pow.f64 th 5)) (*.f64 -1/6 (pow.f64 th 3))) (+.f64 th (*.f64 -1/5040 (pow.f64 th 7)))))
(*.f64 (/.f64 (sin.f64 ky) kx) (+.f64 (*.f64 1/120 (pow.f64 th 5)) (+.f64 th (+.f64 (*.f64 -1/5040 (pow.f64 th 7)) (*.f64 -1/6 (pow.f64 th 3))))))
(/.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))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.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))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.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))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.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))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.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))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.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))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.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))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.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))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(/.f64 (sin.f64 th) (/.f64 kx ky))
(/.f64 ky (/.f64 kx (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 ky kx))
(+.f64 (/.f64 (*.f64 (sin.f64 th) ky) kx) (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) kx)))
(+.f64 (/.f64 (*.f64 (sin.f64 th) ky) kx) (*.f64 -1/6 (/.f64 (sin.f64 th) (/.f64 kx (pow.f64 ky 3)))))
(fma.f64 -1/6 (*.f64 (/.f64 (sin.f64 th) kx) (pow.f64 ky 3)) (/.f64 (sin.f64 th) (/.f64 kx ky)))
(fma.f64 -1/6 (*.f64 (pow.f64 ky 3) (/.f64 (sin.f64 th) kx)) (/.f64 ky (/.f64 kx (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 th) kx) (+.f64 ky (*.f64 -1/6 (pow.f64 ky 3))))
(+.f64 (/.f64 (*.f64 (sin.f64 th) ky) kx) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 5)) kx)) (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) kx))))
(+.f64 (/.f64 (*.f64 (sin.f64 th) ky) kx) (fma.f64 1/120 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 5)) kx) (*.f64 -1/6 (/.f64 (sin.f64 th) (/.f64 kx (pow.f64 ky 3))))))
(+.f64 (/.f64 (sin.f64 th) (/.f64 kx ky)) (fma.f64 -1/6 (*.f64 (/.f64 (sin.f64 th) kx) (pow.f64 ky 3)) (/.f64 1/120 (/.f64 kx (*.f64 (sin.f64 th) (pow.f64 ky 5))))))
(fma.f64 -1/6 (*.f64 (pow.f64 ky 3) (/.f64 (sin.f64 th) kx)) (fma.f64 1/120 (*.f64 (pow.f64 ky 5) (/.f64 (sin.f64 th) kx)) (/.f64 ky (/.f64 kx (sin.f64 th)))))
(fma.f64 ky (/.f64 (sin.f64 th) kx) (*.f64 (/.f64 (sin.f64 th) kx) (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) (*.f64 1/120 (pow.f64 ky 5)))))
(*.f64 (/.f64 (sin.f64 th) kx) (+.f64 (*.f64 1/120 (pow.f64 ky 5)) (+.f64 ky (*.f64 -1/6 (pow.f64 ky 3)))))
(*.f64 (/.f64 (sin.f64 th) kx) (+.f64 ky (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) (*.f64 1/120 (pow.f64 ky 5)))))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 7)) kx)) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) kx) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 5)) kx)) (*.f64 -1/6 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) kx)))))
(fma.f64 -1/5040 (/.f64 (sin.f64 th) (/.f64 kx (pow.f64 ky 7))) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) kx) (fma.f64 1/120 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 5)) kx) (*.f64 -1/6 (/.f64 (sin.f64 th) (/.f64 kx (pow.f64 ky 3)))))))
(+.f64 (fma.f64 -1/6 (*.f64 (/.f64 (sin.f64 th) kx) (pow.f64 ky 3)) (/.f64 1/120 (/.f64 kx (*.f64 (sin.f64 th) (pow.f64 ky 5))))) (fma.f64 -1/5040 (*.f64 (/.f64 (sin.f64 th) kx) (pow.f64 ky 7)) (/.f64 (sin.f64 th) (/.f64 kx ky))))
(fma.f64 -1/5040 (*.f64 (pow.f64 ky 7) (/.f64 (sin.f64 th) kx)) (fma.f64 -1/6 (*.f64 (pow.f64 ky 3) (/.f64 (sin.f64 th) kx)) (fma.f64 1/120 (*.f64 (pow.f64 ky 5) (/.f64 (sin.f64 th) kx)) (/.f64 ky (/.f64 kx (sin.f64 th))))))
(+.f64 (*.f64 (/.f64 (sin.f64 th) kx) (+.f64 ky (*.f64 -1/6 (pow.f64 ky 3)))) (*.f64 (/.f64 (sin.f64 th) kx) (+.f64 (*.f64 1/120 (pow.f64 ky 5)) (*.f64 -1/5040 (pow.f64 ky 7)))))
(*.f64 (/.f64 (sin.f64 th) kx) (+.f64 (+.f64 ky (*.f64 1/120 (pow.f64 ky 5))) (+.f64 (*.f64 -1/5040 (pow.f64 ky 7)) (*.f64 -1/6 (pow.f64 ky 3)))))
(*.f64 (/.f64 (sin.f64 th) kx) (+.f64 ky (+.f64 (*.f64 -1/6 (pow.f64 ky 3)) (+.f64 (*.f64 -1/5040 (pow.f64 ky 7)) (*.f64 1/120 (pow.f64 ky 5))))))
(/.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))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.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))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.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))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.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))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.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))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.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))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.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))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.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))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.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))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.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))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.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))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.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))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.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))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.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))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.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))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.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))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.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))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.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))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.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))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.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))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1)
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1)
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1)
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1)
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1)
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1)
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1)
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1)
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1)
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1)
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1)
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1)
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1)
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1)
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1)
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 1)
(*.f64 (sin.f64 th) (sin.f64 ky))

eval467.0ms (1.1%)

Compiler

Compiled 18632 to 8775 computations (52.9% saved)

prune270.0ms (0.6%)

Pruning

65 alts after pruning (59 fresh and 6 done)

PrunedKeptTotal
New86125886
Fresh303464
Picked101
Done369
Total89565960
Error
0b
Counts
960 → 65
Alt Table
Click to see full alt table
StatusErrorProgram
✓55.0b
(*.f64 ky (/.f64 (sin.f64 th) kx))
59.5b
(*.f64 (sin.f64 ky) (+.f64 (/.f64 th kx) (*.f64 th (*.f64 kx 1/6))))
✓46.4b
(sin.f64 th)
50.1b
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
56.0b
(*.f64 (*.f64 (/.f64 1 ky) (sin.f64 ky)) (sin.f64 th))
45.5b
(/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 kx (/.f64 (pow.f64 (sin.f64 ky) 2) kx)) 1))
55.0b
(pow.f64 (cbrt.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))) 3)
1.6b
(*.f64 (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 (sin.f64 th) (/.f64 1 (sin.f64 ky))))
57.5b
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (/.f64 1 ky)) (sin.f64 th))
57.5b
(*.f64 ky (pow.f64 (pow.f64 (/.f64 (sin.f64 th) kx) 3) 1/3))
55.4b
(*.f64 (sin.f64 ky) (+.f64 (/.f64 th (sin.f64 kx)) (*.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 kx)))))
44.5b
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 kx ky))
56.6b
(*.f64 -1 (/.f64 (*.f64 (sin.f64 ky) th) ky))
55.0b
(*.f64 th (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) 3))
57.4b
(*.f64 ky (/.f64 th kx))
55.0b
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
54.4b
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) th))
54.5b
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))) 3))
45.6b
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (sin.f64 th))
57.5b
(*.f64 (/.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 ky)))
48.0b
(*.f64 ky (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) (sin.f64 th)))
0.3b
(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky))))
57.7b
(*.f64 (/.f64 (sin.f64 ky) kx) (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))
48.9b
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
48.0b
(*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))))
55.2b
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 kx (sin.f64 th)))
58.1b
(*.f64 (/.f64 ky kx) (+.f64 th (+.f64 (*.f64 1/120 (pow.f64 th 5)) (*.f64 -1/6 (pow.f64 th 3)))))
1.5b
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
50.3b
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
55.4b
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx))
57.0b
(*.f64 th (-.f64 (+.f64 1 (/.f64 (sin.f64 ky) (sin.f64 kx))) 1))
53.1b
(/.f64 1 (/.f64 ky (*.f64 (sin.f64 ky) (sin.f64 th))))
16.6b
(*.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 1) (sin.f64 th))
46.4b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
57.9b
(*.f64 ky (/.f64 (+.f64 th (*.f64 -1/6 (pow.f64 th 3))) kx))
57.6b
(exp.f64 (log.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))))
✓0.2b
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
✓0.2b
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
53.7b
(*.f64 (/.f64 (sin.f64 ky) (-.f64 (*.f64 (*.f64 (/.f64 kx ky) kx) -1/2) ky)) (sin.f64 th))
56.0b
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
57.4b
(/.f64 ky (/.f64 kx th))
32.3b
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
55.2b
(/.f64 1 (/.f64 kx (*.f64 ky (sin.f64 th))))
55.1b
(*.f64 (/.f64 ky kx) (sin.f64 th))
56.2b
(/.f64 (*.f64 ky th) (sin.f64 kx))
57.6b
(/.f64 (*.f64 th ky) kx)
56.8b
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx)))
30.3b
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th))
48.7b
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
✓0.3b
(/.f64 (sin.f64 th) (/.f64 1 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
48.0b
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th))
54.9b
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
31.0b
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
50.2b
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
47.5b
(neg.f64 (sin.f64 th))
55.0b
(*.f64 ky (*.f64 (/.f64 1 kx) (sin.f64 th)))
57.7b
(-.f64 (+.f64 1 (*.f64 ky (/.f64 (sin.f64 th) kx))) 1)
57.8b
(-.f64 (+.f64 1 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))) 1)
55.1b
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
✓0.3b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
54.9b
(*.f64 th (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)))
56.1b
(*.f64 (sin.f64 ky) (exp.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
57.8b
(*.f64 th (log.f64 (exp.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)))))
54.2b
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 ky ky (*.f64 kx kx)))) (*.f64 (sin.f64 ky) th))
48.7b
(/.f64 (sin.f64 th) (/.f64 1 (/.f64 (sin.f64 ky) (sin.f64 kx))))
Compiler

Compiled 856 to 622 computations (27.3% saved)

regimes1.1s (2.5%)

Counts
130 → 1
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(sin.f64 th)
(neg.f64 (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(*.f64 (/.f64 th kx) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) kx)
(*.f64 th (/.f64 (sin.f64 ky) kx))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 ky) th) ky))
(/.f64 1 (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (*.f64 (/.f64 1 kx) (sin.f64 th)))
(-.f64 (+.f64 1 (*.f64 ky (/.f64 (sin.f64 th) kx))) 1)
(*.f64 ky (/.f64 (+.f64 th (*.f64 -1/6 (pow.f64 th 3))) kx))
(*.f64 (sin.f64 ky) (+.f64 (/.f64 th kx) (*.f64 th (*.f64 kx 1/6))))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 kx (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 1 ky) (sin.f64 ky)) (sin.f64 th))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx))
(/.f64 1 (/.f64 ky (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (/.f64 1 kx)))
(*.f64 (sin.f64 th) (/.f64 1 (/.f64 kx (sin.f64 ky))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 th (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (/.f64 1 ky)) (sin.f64 th))
(*.f64 th (-.f64 (+.f64 1 (/.f64 (sin.f64 ky) (sin.f64 kx))) 1))
(-.f64 (+.f64 1 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))) 1)
(*.f64 (/.f64 (sin.f64 ky) kx) (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))
(*.f64 th (+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) kx)) (/.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (-.f64 (*.f64 (*.f64 (/.f64 kx ky) kx) -1/2) ky)) (sin.f64 th))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) (*.f64 th kx))) (/.f64 (*.f64 (sin.f64 ky) th) kx))
(*.f64 (/.f64 ky kx) (+.f64 th (+.f64 (*.f64 1/120 (pow.f64 th 5)) (*.f64 -1/6 (pow.f64 th 3)))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 kx ky))
(*.f64 ky (pow.f64 (pow.f64 (/.f64 (sin.f64 th) kx) 3) 1/3))
(/.f64 (sin.f64 th) (/.f64 1 (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 ky (*.f64 -1/6 (pow.f64 ky 3))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 ky ky (*.f64 kx kx)))) (*.f64 (sin.f64 ky) th))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 1/2 (/.f64 kx (/.f64 ky kx)) ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx)))
(*.f64 ky (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))))
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))))
(exp.f64 (log.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 th (log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 th (log.f64 (exp.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(sqrt.f64 (pow.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx))) 2))
(pow.f64 (cbrt.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))) 3)
(*.f64 th (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) 3))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 2)) kx)
(sqrt.f64 (pow.f64 (/.f64 (/.f64 kx (sin.f64 th)) (sin.f64 ky)) -2))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) 3) kx)
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) -1))
(*.f64 (*.f64 (/.f64 1 (hypot.f64 ky (sin.f64 kx))) (sin.f64 ky)) (sin.f64 th))
(/.f64 1 (/.f64 (hypot.f64 ky (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 kx (/.f64 (pow.f64 (sin.f64 ky) 2) kx)) 1))
(/.f64 (sin.f64 th) (fma.f64 1/2 (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) 1))
(*.f64 (fma.f64 -1/2 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)) 1) (sin.f64 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 (/.f64 th (sin.f64 kx)) (*.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 ky) th))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky)))
(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))
(*.f64 (sin.f64 ky) (exp.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))) 3))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.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 (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)) (/.f64 1 (sin.f64 ky))))
(/.f64 (sin.f64 th) (/.f64 1 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky))))
(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 1 (sin.f64 ky))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (/.f64 1 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 (sin.f64 th) (/.f64 1 (sin.f64 ky))))
(/.f64 (sin.f64 th) (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) -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) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 3)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) 3))) (sin.f64 th))
(*.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 1) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(*.f64 (sin.f64 ky) (*.f64 (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))))))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
Calls

11 calls:

133.0ms
kx
132.0ms
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
128.0ms
(sin.f64 ky)
120.0ms
th
104.0ms
(sin.f64 th)
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 1458 to 576 computations (60.5% saved)

regimes495.0ms (1.1%)

Counts
111 → 1
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(sin.f64 th)
(neg.f64 (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(*.f64 (/.f64 th kx) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) kx)
(*.f64 th (/.f64 (sin.f64 ky) kx))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 ky) th) ky))
(/.f64 1 (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (*.f64 (/.f64 1 kx) (sin.f64 th)))
(-.f64 (+.f64 1 (*.f64 ky (/.f64 (sin.f64 th) kx))) 1)
(*.f64 ky (/.f64 (+.f64 th (*.f64 -1/6 (pow.f64 th 3))) kx))
(*.f64 (sin.f64 ky) (+.f64 (/.f64 th kx) (*.f64 th (*.f64 kx 1/6))))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 kx (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 1 ky) (sin.f64 ky)) (sin.f64 th))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx))
(/.f64 1 (/.f64 ky (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (/.f64 1 kx)))
(*.f64 (sin.f64 th) (/.f64 1 (/.f64 kx (sin.f64 ky))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 th (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (/.f64 1 ky)) (sin.f64 th))
(*.f64 th (-.f64 (+.f64 1 (/.f64 (sin.f64 ky) (sin.f64 kx))) 1))
(-.f64 (+.f64 1 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))) 1)
(*.f64 (/.f64 (sin.f64 ky) kx) (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))
(*.f64 th (+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) kx)) (/.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (-.f64 (*.f64 (*.f64 (/.f64 kx ky) kx) -1/2) ky)) (sin.f64 th))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) (*.f64 th kx))) (/.f64 (*.f64 (sin.f64 ky) th) kx))
(*.f64 (/.f64 ky kx) (+.f64 th (+.f64 (*.f64 1/120 (pow.f64 th 5)) (*.f64 -1/6 (pow.f64 th 3)))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 kx ky))
(*.f64 ky (pow.f64 (pow.f64 (/.f64 (sin.f64 th) kx) 3) 1/3))
(/.f64 (sin.f64 th) (/.f64 1 (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 ky (*.f64 -1/6 (pow.f64 ky 3))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 ky ky (*.f64 kx kx)))) (*.f64 (sin.f64 ky) th))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 1/2 (/.f64 kx (/.f64 ky kx)) ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx)))
(*.f64 ky (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))))
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))))
(exp.f64 (log.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 th (log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 th (log.f64 (exp.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(sqrt.f64 (pow.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx))) 2))
(pow.f64 (cbrt.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))) 3)
(*.f64 th (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) 3))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 2)) kx)
(sqrt.f64 (pow.f64 (/.f64 (/.f64 kx (sin.f64 th)) (sin.f64 ky)) -2))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) 3) kx)
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) -1))
(*.f64 (*.f64 (/.f64 1 (hypot.f64 ky (sin.f64 kx))) (sin.f64 ky)) (sin.f64 th))
(/.f64 1 (/.f64 (hypot.f64 ky (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 kx (/.f64 (pow.f64 (sin.f64 ky) 2) kx)) 1))
(/.f64 (sin.f64 th) (fma.f64 1/2 (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) 1))
(*.f64 (fma.f64 -1/2 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)) 1) (sin.f64 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 (/.f64 th (sin.f64 kx)) (*.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 ky) th))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky)))
(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))
(*.f64 (sin.f64 ky) (exp.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))) 3))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
Outputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
Calls

6 calls:

112.0ms
kx
91.0ms
(sin.f64 th)
73.0ms
(sin.f64 kx)
67.0ms
(sin.f64 ky)
58.0ms
ky
Results
ErrorSegmentsBranch
0.2b1kx
0.2b1ky
0.2b1th
0.2b1(sin.f64 ky)
0.2b1(sin.f64 kx)
0.2b1(sin.f64 th)
Compiler

Compiled 1116 to 425 computations (61.9% saved)

regimes969.0ms (2.2%)

Counts
109 → 3
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(sin.f64 th)
(neg.f64 (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(*.f64 (/.f64 th kx) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) kx)
(*.f64 th (/.f64 (sin.f64 ky) kx))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 ky) th) ky))
(/.f64 1 (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (*.f64 (/.f64 1 kx) (sin.f64 th)))
(-.f64 (+.f64 1 (*.f64 ky (/.f64 (sin.f64 th) kx))) 1)
(*.f64 ky (/.f64 (+.f64 th (*.f64 -1/6 (pow.f64 th 3))) kx))
(*.f64 (sin.f64 ky) (+.f64 (/.f64 th kx) (*.f64 th (*.f64 kx 1/6))))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 kx (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 1 ky) (sin.f64 ky)) (sin.f64 th))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx))
(/.f64 1 (/.f64 ky (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (/.f64 1 kx)))
(*.f64 (sin.f64 th) (/.f64 1 (/.f64 kx (sin.f64 ky))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 th (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (/.f64 1 ky)) (sin.f64 th))
(*.f64 th (-.f64 (+.f64 1 (/.f64 (sin.f64 ky) (sin.f64 kx))) 1))
(-.f64 (+.f64 1 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))) 1)
(*.f64 (/.f64 (sin.f64 ky) kx) (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))
(*.f64 th (+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) kx)) (/.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (-.f64 (*.f64 (*.f64 (/.f64 kx ky) kx) -1/2) ky)) (sin.f64 th))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) (*.f64 th kx))) (/.f64 (*.f64 (sin.f64 ky) th) kx))
(*.f64 (/.f64 ky kx) (+.f64 th (+.f64 (*.f64 1/120 (pow.f64 th 5)) (*.f64 -1/6 (pow.f64 th 3)))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 kx ky))
(*.f64 ky (pow.f64 (pow.f64 (/.f64 (sin.f64 th) kx) 3) 1/3))
(/.f64 (sin.f64 th) (/.f64 1 (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 ky (*.f64 -1/6 (pow.f64 ky 3))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 ky ky (*.f64 kx kx)))) (*.f64 (sin.f64 ky) th))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 1/2 (/.f64 kx (/.f64 ky kx)) ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx)))
(*.f64 ky (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))))
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))))
(exp.f64 (log.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 th (log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 th (log.f64 (exp.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(sqrt.f64 (pow.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx))) 2))
(pow.f64 (cbrt.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))) 3)
(*.f64 th (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) 3))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 2)) kx)
(sqrt.f64 (pow.f64 (/.f64 (/.f64 kx (sin.f64 th)) (sin.f64 ky)) -2))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) 3) kx)
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) -1))
(*.f64 (*.f64 (/.f64 1 (hypot.f64 ky (sin.f64 kx))) (sin.f64 ky)) (sin.f64 th))
(/.f64 1 (/.f64 (hypot.f64 ky (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 kx (/.f64 (pow.f64 (sin.f64 ky) 2) kx)) 1))
(/.f64 (sin.f64 th) (fma.f64 1/2 (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) 1))
(*.f64 (fma.f64 -1/2 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)) 1) (sin.f64 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 (/.f64 th (sin.f64 kx)) (*.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 ky) th))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky)))
(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))
(*.f64 (sin.f64 ky) (exp.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))) 3))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
Outputs
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
Calls

7 calls:

209.0ms
(sin.f64 ky)
209.0ms
ky
206.0ms
(sin.f64 ky)
95.0ms
(sin.f64 th)
77.0ms
th
Results
ErrorSegmentsBranch
1.5b1kx
0.2b3ky
1.5b1th
0.2b3(sin.f64 ky)
0.2b3(sin.f64 ky)
1.5b1(sin.f64 kx)
1.5b1(sin.f64 th)
Compiler

Compiled 1099 to 426 computations (61.2% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.56328207284298e-35
8.311920507163611e-35
0.0ms
-8.805796323382059e-90
-3.8639758123809014e-95
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes3.5s (7.9%)

Counts
108 → 3
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(sin.f64 th)
(neg.f64 (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(*.f64 (/.f64 th kx) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) kx)
(*.f64 th (/.f64 (sin.f64 ky) kx))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 ky) th) ky))
(/.f64 1 (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (*.f64 (/.f64 1 kx) (sin.f64 th)))
(-.f64 (+.f64 1 (*.f64 ky (/.f64 (sin.f64 th) kx))) 1)
(*.f64 ky (/.f64 (+.f64 th (*.f64 -1/6 (pow.f64 th 3))) kx))
(*.f64 (sin.f64 ky) (+.f64 (/.f64 th kx) (*.f64 th (*.f64 kx 1/6))))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 kx (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 1 ky) (sin.f64 ky)) (sin.f64 th))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx))
(/.f64 1 (/.f64 ky (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (/.f64 1 kx)))
(*.f64 (sin.f64 th) (/.f64 1 (/.f64 kx (sin.f64 ky))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 th (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (/.f64 1 ky)) (sin.f64 th))
(*.f64 th (-.f64 (+.f64 1 (/.f64 (sin.f64 ky) (sin.f64 kx))) 1))
(-.f64 (+.f64 1 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))) 1)
(*.f64 (/.f64 (sin.f64 ky) kx) (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))
(*.f64 th (+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) kx)) (/.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (-.f64 (*.f64 (*.f64 (/.f64 kx ky) kx) -1/2) ky)) (sin.f64 th))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) (*.f64 th kx))) (/.f64 (*.f64 (sin.f64 ky) th) kx))
(*.f64 (/.f64 ky kx) (+.f64 th (+.f64 (*.f64 1/120 (pow.f64 th 5)) (*.f64 -1/6 (pow.f64 th 3)))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 kx ky))
(*.f64 ky (pow.f64 (pow.f64 (/.f64 (sin.f64 th) kx) 3) 1/3))
(/.f64 (sin.f64 th) (/.f64 1 (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 ky (*.f64 -1/6 (pow.f64 ky 3))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 ky ky (*.f64 kx kx)))) (*.f64 (sin.f64 ky) th))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 1/2 (/.f64 kx (/.f64 ky kx)) ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx)))
(*.f64 ky (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))))
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))))
(exp.f64 (log.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 th (log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 th (log.f64 (exp.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(sqrt.f64 (pow.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx))) 2))
(pow.f64 (cbrt.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))) 3)
(*.f64 th (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) 3))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 2)) kx)
(sqrt.f64 (pow.f64 (/.f64 (/.f64 kx (sin.f64 th)) (sin.f64 ky)) -2))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) 3) kx)
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 th)))
(*.f64 (sin.f64 ky) (pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) -1))
(*.f64 (*.f64 (/.f64 1 (hypot.f64 ky (sin.f64 kx))) (sin.f64 ky)) (sin.f64 th))
(/.f64 1 (/.f64 (hypot.f64 ky (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 kx (/.f64 (pow.f64 (sin.f64 ky) 2) kx)) 1))
(/.f64 (sin.f64 th) (fma.f64 1/2 (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) 1))
(*.f64 (fma.f64 -1/2 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)) 1) (sin.f64 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 (/.f64 th (sin.f64 kx)) (*.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (fma.f64 ky ky (*.f64 -1/2 (cos.f64 (*.f64 kx 2))))))) th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 (+.f64 1/2 (pow.f64 ky 2)) (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) (*.f64 (sin.f64 ky) th))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky)))
(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))
(*.f64 (sin.f64 ky) (exp.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))) 3))
Outputs
(neg.f64 (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky)))
(sin.f64 th)
Calls

8 calls:

762.0ms
(sin.f64 kx)
678.0ms
(sin.f64 kx)
643.0ms
kx
388.0ms
th
338.0ms
(sin.f64 th)
Results
ErrorSegmentsBranch
24.1b9kx
20.7b3ky
28.6b5th
11.3b3(sin.f64 ky)
11.3b3(sin.f64 ky)
23.0b10(sin.f64 kx)
23.0b10(sin.f64 kx)
28.6b5(sin.f64 th)
Compiler

Compiled 1093 to 428 computations (60.8% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
8.677324530402191e-14
3.3779613921076256e-10
0.0ms
-0.06316857791989368
-6.3310306142912685e-9
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes2.4s (5.4%)

Counts
90 → 3
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(sin.f64 th)
(neg.f64 (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(*.f64 (/.f64 th kx) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) kx)
(*.f64 th (/.f64 (sin.f64 ky) kx))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 ky) th) ky))
(/.f64 1 (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (*.f64 (/.f64 1 kx) (sin.f64 th)))
(-.f64 (+.f64 1 (*.f64 ky (/.f64 (sin.f64 th) kx))) 1)
(*.f64 ky (/.f64 (+.f64 th (*.f64 -1/6 (pow.f64 th 3))) kx))
(*.f64 (sin.f64 ky) (+.f64 (/.f64 th kx) (*.f64 th (*.f64 kx 1/6))))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 kx (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 1 ky) (sin.f64 ky)) (sin.f64 th))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx))
(/.f64 1 (/.f64 ky (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (/.f64 1 kx)))
(*.f64 (sin.f64 th) (/.f64 1 (/.f64 kx (sin.f64 ky))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 th (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (/.f64 1 ky)) (sin.f64 th))
(*.f64 th (-.f64 (+.f64 1 (/.f64 (sin.f64 ky) (sin.f64 kx))) 1))
(-.f64 (+.f64 1 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))) 1)
(*.f64 (/.f64 (sin.f64 ky) kx) (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))
(*.f64 th (+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) kx)) (/.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (-.f64 (*.f64 (*.f64 (/.f64 kx ky) kx) -1/2) ky)) (sin.f64 th))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) (*.f64 th kx))) (/.f64 (*.f64 (sin.f64 ky) th) kx))
(*.f64 (/.f64 ky kx) (+.f64 th (+.f64 (*.f64 1/120 (pow.f64 th 5)) (*.f64 -1/6 (pow.f64 th 3)))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 kx ky))
(*.f64 ky (pow.f64 (pow.f64 (/.f64 (sin.f64 th) kx) 3) 1/3))
(/.f64 (sin.f64 th) (/.f64 1 (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 ky (*.f64 -1/6 (pow.f64 ky 3))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 ky ky (*.f64 kx kx)))) (*.f64 (sin.f64 ky) th))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 1/2 (/.f64 kx (/.f64 ky kx)) ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx)))
(*.f64 ky (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))))
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))))
(exp.f64 (log.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 th (log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 th (log.f64 (exp.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(sqrt.f64 (pow.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx))) 2))
(pow.f64 (cbrt.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))) 3)
(*.f64 th (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) 3))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 2)) kx)
(sqrt.f64 (pow.f64 (/.f64 (/.f64 kx (sin.f64 th)) (sin.f64 ky)) -2))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) 3) kx)
Outputs
(neg.f64 (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(sin.f64 th)
Calls

7 calls:

1.1s
(sin.f64 kx)
422.0ms
kx
239.0ms
(sin.f64 th)
219.0ms
th
143.0ms
ky
Results
ErrorSegmentsBranch
25.2b9kx
22.0b3ky
30.3b5th
12.6b3(sin.f64 ky)
12.6b3(sin.f64 ky)
24.2b10(sin.f64 kx)
30.3b5(sin.f64 th)
Compiler

Compiled 841 to 312 computations (62.9% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
8.677324530402191e-14
3.3779613921076256e-10
0.0ms
-0.06316857791989368
-6.3310306142912685e-9
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes3.6s (8.1%)

Counts
88 → 7
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(sin.f64 th)
(neg.f64 (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(*.f64 (/.f64 th kx) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) kx)
(*.f64 th (/.f64 (sin.f64 ky) kx))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 ky) th) ky))
(/.f64 1 (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (*.f64 (/.f64 1 kx) (sin.f64 th)))
(-.f64 (+.f64 1 (*.f64 ky (/.f64 (sin.f64 th) kx))) 1)
(*.f64 ky (/.f64 (+.f64 th (*.f64 -1/6 (pow.f64 th 3))) kx))
(*.f64 (sin.f64 ky) (+.f64 (/.f64 th kx) (*.f64 th (*.f64 kx 1/6))))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 kx (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 1 ky) (sin.f64 ky)) (sin.f64 th))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx))
(/.f64 1 (/.f64 ky (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (/.f64 1 kx)))
(*.f64 (sin.f64 th) (/.f64 1 (/.f64 kx (sin.f64 ky))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 th (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (/.f64 1 ky)) (sin.f64 th))
(*.f64 th (-.f64 (+.f64 1 (/.f64 (sin.f64 ky) (sin.f64 kx))) 1))
(-.f64 (+.f64 1 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))) 1)
(*.f64 (/.f64 (sin.f64 ky) kx) (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))
(*.f64 th (+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) kx)) (/.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (-.f64 (*.f64 (*.f64 (/.f64 kx ky) kx) -1/2) ky)) (sin.f64 th))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) (*.f64 th kx))) (/.f64 (*.f64 (sin.f64 ky) th) kx))
(*.f64 (/.f64 ky kx) (+.f64 th (+.f64 (*.f64 1/120 (pow.f64 th 5)) (*.f64 -1/6 (pow.f64 th 3)))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 kx ky))
(*.f64 ky (pow.f64 (pow.f64 (/.f64 (sin.f64 th) kx) 3) 1/3))
(/.f64 (sin.f64 th) (/.f64 1 (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 ky (*.f64 -1/6 (pow.f64 ky 3))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 ky ky (*.f64 kx kx)))) (*.f64 (sin.f64 ky) th))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 1/2 (/.f64 kx (/.f64 ky kx)) ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx)))
(*.f64 ky (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))))
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))))
(exp.f64 (log.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 th (log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 th (log.f64 (exp.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(sqrt.f64 (pow.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx))) 2))
(pow.f64 (cbrt.f64 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))) 3)
(*.f64 th (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sin.f64 kx))) 3))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) 2)) kx)
(sqrt.f64 (pow.f64 (/.f64 (/.f64 kx (sin.f64 th)) (sin.f64 ky)) -2))
Outputs
(neg.f64 (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))) ky) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (-.f64 (*.f64 (*.f64 (/.f64 kx ky) kx) -1/2) ky)) (sin.f64 th))
(*.f64 ky (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 kx ky))
(*.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

8 calls:

751.0ms
(sin.f64 th)
657.0ms
kx
513.0ms
ky
392.0ms
th
328.0ms
(sin.f64 kx)
Results
ErrorSegmentsBranch
25.7b10kx
29.2b8ky
38.3b9th
20.2b7(sin.f64 ky)
20.2b7(sin.f64 ky)
26.3b7(sin.f64 kx)
26.3b7(sin.f64 kx)
36.1b12(sin.f64 th)
Compiler

Compiled 826 to 310 computations (62.5% saved)

bsearch3.0ms (0%)

Algorithm
6×left-value
Steps
TimeLeftRight
0.0ms
1.3362827569947054e-49
3.7504624450177136e-42
0.0ms
7.572550639795099e-105
2.2546146059627606e-103
0.0ms
-5.708153454348805e-291
-4.5346476274938983e-299
0.0ms
-2.386237121861589e-187
-6.340755296698275e-190
0.0ms
-3.788605654327447e-169
-5.112158752303111e-170
0.0ms
-2.2519877806256473e-16
-3.023543083926248e-22
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes2.9s (6.5%)

Counts
77 → 7
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(sin.f64 th)
(neg.f64 (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(*.f64 (/.f64 th kx) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) kx)
(*.f64 th (/.f64 (sin.f64 ky) kx))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 ky) th) ky))
(/.f64 1 (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (*.f64 (/.f64 1 kx) (sin.f64 th)))
(-.f64 (+.f64 1 (*.f64 ky (/.f64 (sin.f64 th) kx))) 1)
(*.f64 ky (/.f64 (+.f64 th (*.f64 -1/6 (pow.f64 th 3))) kx))
(*.f64 (sin.f64 ky) (+.f64 (/.f64 th kx) (*.f64 th (*.f64 kx 1/6))))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 kx (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 1 ky) (sin.f64 ky)) (sin.f64 th))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx))
(/.f64 1 (/.f64 ky (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (/.f64 1 kx)))
(*.f64 (sin.f64 th) (/.f64 1 (/.f64 kx (sin.f64 ky))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 th (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (/.f64 1 ky)) (sin.f64 th))
(*.f64 th (-.f64 (+.f64 1 (/.f64 (sin.f64 ky) (sin.f64 kx))) 1))
(-.f64 (+.f64 1 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))) 1)
(*.f64 (/.f64 (sin.f64 ky) kx) (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))
(*.f64 th (+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) kx)) (/.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (-.f64 (*.f64 (*.f64 (/.f64 kx ky) kx) -1/2) ky)) (sin.f64 th))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) (*.f64 th kx))) (/.f64 (*.f64 (sin.f64 ky) th) kx))
(*.f64 (/.f64 ky kx) (+.f64 th (+.f64 (*.f64 1/120 (pow.f64 th 5)) (*.f64 -1/6 (pow.f64 th 3)))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 kx ky))
(*.f64 ky (pow.f64 (pow.f64 (/.f64 (sin.f64 th) kx) 3) 1/3))
(/.f64 (sin.f64 th) (/.f64 1 (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 ky (*.f64 -1/6 (pow.f64 ky 3))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 ky ky (*.f64 kx kx)))) (*.f64 (sin.f64 ky) th))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 1/2 (/.f64 kx (/.f64 ky kx)) ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx)))
(*.f64 ky (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))))
Outputs
(neg.f64 (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx)))))))
(*.f64 (/.f64 (sin.f64 ky) (-.f64 (*.f64 (*.f64 (/.f64 kx ky) kx) -1/2) ky)) (sin.f64 th))
(*.f64 ky (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 kx ky))
(*.f64 ky (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) (sin.f64 th)))
(sin.f64 th)
Calls

8 calls:

503.0ms
ky
492.0ms
kx
480.0ms
(sin.f64 th)
337.0ms
th
279.0ms
(sin.f64 ky)
Results
ErrorSegmentsBranch
25.7b10kx
29.2b8ky
38.3b9th
20.2b7(sin.f64 ky)
20.2b7(sin.f64 ky)
26.3b7(sin.f64 kx)
26.3b7(sin.f64 kx)
36.1b12(sin.f64 th)
Compiler

Compiled 715 to 268 computations (62.5% saved)

bsearch1.0ms (0%)

Algorithm
6×left-value
Steps
TimeLeftRight
0.0ms
1.3362827569947054e-49
3.7504624450177136e-42
0.0ms
7.572550639795099e-105
2.2546146059627606e-103
0.0ms
-5.708153454348805e-291
-4.5346476274938983e-299
0.0ms
-2.386237121861589e-187
-6.340755296698275e-190
0.0ms
-3.788605654327447e-169
-5.112158752303111e-170
0.0ms
-2.2519877806256473e-16
-3.023543083926248e-22
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes4.1s (9.3%)

Counts
76 → 7
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(sin.f64 th)
(neg.f64 (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(*.f64 (/.f64 th kx) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) kx)
(*.f64 th (/.f64 (sin.f64 ky) kx))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 ky) th) ky))
(/.f64 1 (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (*.f64 (/.f64 1 kx) (sin.f64 th)))
(-.f64 (+.f64 1 (*.f64 ky (/.f64 (sin.f64 th) kx))) 1)
(*.f64 ky (/.f64 (+.f64 th (*.f64 -1/6 (pow.f64 th 3))) kx))
(*.f64 (sin.f64 ky) (+.f64 (/.f64 th kx) (*.f64 th (*.f64 kx 1/6))))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 kx (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 1 ky) (sin.f64 ky)) (sin.f64 th))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx))
(/.f64 1 (/.f64 ky (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (/.f64 1 kx)))
(*.f64 (sin.f64 th) (/.f64 1 (/.f64 kx (sin.f64 ky))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 th (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (/.f64 1 ky)) (sin.f64 th))
(*.f64 th (-.f64 (+.f64 1 (/.f64 (sin.f64 ky) (sin.f64 kx))) 1))
(-.f64 (+.f64 1 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))) 1)
(*.f64 (/.f64 (sin.f64 ky) kx) (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))
(*.f64 th (+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) kx)) (/.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (-.f64 (*.f64 (*.f64 (/.f64 kx ky) kx) -1/2) ky)) (sin.f64 th))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) (*.f64 th kx))) (/.f64 (*.f64 (sin.f64 ky) th) kx))
(*.f64 (/.f64 ky kx) (+.f64 th (+.f64 (*.f64 1/120 (pow.f64 th 5)) (*.f64 -1/6 (pow.f64 th 3)))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 kx ky))
(*.f64 ky (pow.f64 (pow.f64 (/.f64 (sin.f64 th) kx) 3) 1/3))
(/.f64 (sin.f64 th) (/.f64 1 (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 ky (*.f64 -1/6 (pow.f64 ky 3))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 ky ky (*.f64 kx kx)))) (*.f64 (sin.f64 ky) th))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 1/2 (/.f64 kx (/.f64 ky kx)) ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx)))
(*.f64 ky (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) (sin.f64 th)))
Outputs
(neg.f64 (sin.f64 th))
(*.f64 ky (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 ky) (-.f64 (*.f64 (*.f64 (/.f64 kx ky) kx) -1/2) ky)) (sin.f64 th))
(*.f64 ky (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 kx ky))
(*.f64 ky (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) (sin.f64 th)))
(sin.f64 th)
Calls

8 calls:

867.0ms
(sin.f64 th)
562.0ms
ky
559.0ms
(sin.f64 kx)
541.0ms
kx
498.0ms
(sin.f64 kx)
Results
ErrorSegmentsBranch
25.7b10kx
29.2b8ky
38.3b9th
20.2b7(sin.f64 ky)
20.2b7(sin.f64 ky)
26.3b7(sin.f64 kx)
26.3b7(sin.f64 kx)
36.1b12(sin.f64 th)
Compiler

Compiled 699 to 257 computations (63.2% saved)

bsearch1.0ms (0%)

Algorithm
6×left-value
Steps
TimeLeftRight
0.0ms
1.3362827569947054e-49
3.7504624450177136e-42
0.0ms
7.572550639795099e-105
2.2546146059627606e-103
0.0ms
-5.708153454348805e-291
-4.5346476274938983e-299
0.0ms
-2.386237121861589e-187
-6.340755296698275e-190
0.0ms
-3.788605654327447e-169
-5.112158752303111e-170
0.0ms
-2.2519877806256473e-16
-3.023543083926248e-22
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes2.3s (5.2%)

Counts
75 → 3
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(sin.f64 th)
(neg.f64 (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(*.f64 (/.f64 th kx) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) kx)
(*.f64 th (/.f64 (sin.f64 ky) kx))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 ky) th) ky))
(/.f64 1 (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (*.f64 (/.f64 1 kx) (sin.f64 th)))
(-.f64 (+.f64 1 (*.f64 ky (/.f64 (sin.f64 th) kx))) 1)
(*.f64 ky (/.f64 (+.f64 th (*.f64 -1/6 (pow.f64 th 3))) kx))
(*.f64 (sin.f64 ky) (+.f64 (/.f64 th kx) (*.f64 th (*.f64 kx 1/6))))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 kx (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 1 ky) (sin.f64 ky)) (sin.f64 th))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx))
(/.f64 1 (/.f64 ky (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (/.f64 1 kx)))
(*.f64 (sin.f64 th) (/.f64 1 (/.f64 kx (sin.f64 ky))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 th (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (/.f64 1 ky)) (sin.f64 th))
(*.f64 th (-.f64 (+.f64 1 (/.f64 (sin.f64 ky) (sin.f64 kx))) 1))
(-.f64 (+.f64 1 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))) 1)
(*.f64 (/.f64 (sin.f64 ky) kx) (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))
(*.f64 th (+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) kx)) (/.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (-.f64 (*.f64 (*.f64 (/.f64 kx ky) kx) -1/2) ky)) (sin.f64 th))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) (*.f64 th kx))) (/.f64 (*.f64 (sin.f64 ky) th) kx))
(*.f64 (/.f64 ky kx) (+.f64 th (+.f64 (*.f64 1/120 (pow.f64 th 5)) (*.f64 -1/6 (pow.f64 th 3)))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 kx ky))
(*.f64 ky (pow.f64 (pow.f64 (/.f64 (sin.f64 th) kx) 3) 1/3))
(/.f64 (sin.f64 th) (/.f64 1 (/.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 th)))
(/.f64 1 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 ky (*.f64 -1/6 (pow.f64 ky 3))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 ky ky (*.f64 kx kx)))) (*.f64 (sin.f64 ky) th))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 1/2 (/.f64 kx (/.f64 ky kx)) ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) kx)) (/.f64 (sin.f64 th) kx)))
Outputs
(neg.f64 (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 kx ky))
(sin.f64 th)
Calls

8 calls:

415.0ms
kx
406.0ms
(sin.f64 th)
380.0ms
(sin.f64 kx)
333.0ms
(sin.f64 kx)
290.0ms
th
Results
ErrorSegmentsBranch
31.4b10kx
32.9b4ky
39.9b8th
24.4b3(sin.f64 ky)
24.4b3(sin.f64 ky)
31.8b9(sin.f64 kx)
31.8b9(sin.f64 kx)
39.1b9(sin.f64 th)
Compiler

Compiled 683 to 245 computations (64.1% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
7.572550639795099e-105
2.2546146059627606e-103
0.0ms
-3.19436985568526e-67
-2.4049925177945422e-68
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes2.3s (5.2%)

Counts
64 → 7
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(sin.f64 th)
(neg.f64 (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(*.f64 (/.f64 th kx) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) kx)
(*.f64 th (/.f64 (sin.f64 ky) kx))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 ky) th) ky))
(/.f64 1 (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (*.f64 (/.f64 1 kx) (sin.f64 th)))
(-.f64 (+.f64 1 (*.f64 ky (/.f64 (sin.f64 th) kx))) 1)
(*.f64 ky (/.f64 (+.f64 th (*.f64 -1/6 (pow.f64 th 3))) kx))
(*.f64 (sin.f64 ky) (+.f64 (/.f64 th kx) (*.f64 th (*.f64 kx 1/6))))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 kx (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 1 ky) (sin.f64 ky)) (sin.f64 th))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx))
(/.f64 1 (/.f64 ky (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (/.f64 1 kx)))
(*.f64 (sin.f64 th) (/.f64 1 (/.f64 kx (sin.f64 ky))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky))
(*.f64 th (*.f64 (/.f64 1 (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (/.f64 1 ky)) (sin.f64 th))
(*.f64 th (-.f64 (+.f64 1 (/.f64 (sin.f64 ky) (sin.f64 kx))) 1))
(-.f64 (+.f64 1 (*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))) 1)
(*.f64 (/.f64 (sin.f64 ky) kx) (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))
(*.f64 th (+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) kx)) (/.f64 (sin.f64 ky) kx)))
(*.f64 (/.f64 (sin.f64 ky) (-.f64 (*.f64 (*.f64 (/.f64 kx ky) kx) -1/2) ky)) (sin.f64 th))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 ky) (*.f64 th kx))) (/.f64 (*.f64 (sin.f64 ky) th) kx))
(*.f64 (/.f64 ky kx) (+.f64 th (+.f64 (*.f64 1/120 (pow.f64 th 5)) (*.f64 -1/6 (pow.f64 th 3)))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
Outputs
(neg.f64 (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 ky)) (sin.f64 th))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(sin.f64 th)
Calls

7 calls:

413.0ms
(sin.f64 kx)
399.0ms
(sin.f64 th)
375.0ms
kx
331.0ms
th
288.0ms
(sin.f64 ky)
Results
ErrorSegmentsBranch
32.0b11kx
34.2b6ky
40.7b8th
23.8b7(sin.f64 ky)
23.8b7(sin.f64 ky)
32.4b10(sin.f64 kx)
42.1b6(sin.f64 th)
Compiler

Compiled 547 to 191 computations (65.1% saved)

bsearch1.0ms (0%)

Algorithm
6×left-value
Steps
TimeLeftRight
0.0ms
1.3362827569947054e-49
3.7504624450177136e-42
0.0ms
3.4127313773492937e-110
7.572550639795099e-105
0.0ms
4.2335473198475786e-200
1.1745172688047316e-196
0.0ms
-1.7766202213103145e-131
-1.358234029443811e-135
0.0ms
-1.378225980652766e-115
-2.3732422145244626e-122
0.0ms
-3.023543083926248e-22
-1.6771037787135863e-22
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes1.5s (3.3%)

Counts
42 → 7
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(sin.f64 th)
(neg.f64 (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(*.f64 (/.f64 th kx) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) kx)
(*.f64 th (/.f64 (sin.f64 ky) kx))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 ky) th) ky))
(/.f64 1 (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (*.f64 (/.f64 1 kx) (sin.f64 th)))
(-.f64 (+.f64 1 (*.f64 ky (/.f64 (sin.f64 th) kx))) 1)
(*.f64 ky (/.f64 (+.f64 th (*.f64 -1/6 (pow.f64 th 3))) kx))
(*.f64 (sin.f64 ky) (+.f64 (/.f64 th kx) (*.f64 th (*.f64 kx 1/6))))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 kx (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) ky) (neg.f64 (sin.f64 ky)))
Outputs
(neg.f64 (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(neg.f64 (sin.f64 th))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(sin.f64 th)
Calls

8 calls:

313.0ms
kx
214.0ms
(sin.f64 kx)
183.0ms
ky
159.0ms
th
156.0ms
(sin.f64 th)
Results
ErrorSegmentsBranch
33.3b11kx
33.0b8ky
40.9b8th
23.8b7(sin.f64 ky)
23.8b7(sin.f64 ky)
33.7b10(sin.f64 kx)
42.4b6(sin.f64 th)
42.4b6(sin.f64 th)
Compiler

Compiled 329 to 114 computations (65.3% saved)

bsearch1.0ms (0%)

Algorithm
6×left-value
Steps
TimeLeftRight
0.0ms
1.3362827569947054e-49
3.7504624450177136e-42
0.0ms
3.4127313773492937e-110
7.572550639795099e-105
0.0ms
4.2335473198475786e-200
1.1745172688047316e-196
0.0ms
-1.7766202213103145e-131
-1.358234029443811e-135
0.0ms
-1.378225980652766e-115
-2.3732422145244626e-122
0.0ms
-3.023543083926248e-22
-1.6771037787135863e-22
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes1.0s (2.3%)

Counts
26 → 5
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(sin.f64 th)
(neg.f64 (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(*.f64 (/.f64 th kx) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) kx)
(*.f64 th (/.f64 (sin.f64 ky) kx))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 ky) th) ky))
(/.f64 1 (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (*.f64 (/.f64 1 kx) (sin.f64 th)))
(-.f64 (+.f64 1 (*.f64 ky (/.f64 (sin.f64 th) kx))) 1)
(*.f64 ky (/.f64 (+.f64 th (*.f64 -1/6 (pow.f64 th 3))) kx))
(*.f64 (sin.f64 ky) (+.f64 (/.f64 th kx) (*.f64 th (*.f64 kx 1/6))))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 th) ky) (sin.f64 ky))
Outputs
(neg.f64 (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(neg.f64 (sin.f64 th))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(sin.f64 th)
Calls

8 calls:

172.0ms
kx
151.0ms
ky
135.0ms
th
126.0ms
(sin.f64 kx)
122.0ms
(sin.f64 th)
Results
ErrorSegmentsBranch
33.3b11kx
34.1b6ky
40.9b8th
24.8b5(sin.f64 ky)
24.8b5(sin.f64 ky)
33.7b10(sin.f64 kx)
42.4b6(sin.f64 th)
42.4b6(sin.f64 th)
Compiler

Compiled 215 to 95 computations (55.8% saved)

bsearch1.0ms (0%)

Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
1.666113249715404e-254
9.760714384363016e-234
0.0ms
-1.7766202213103145e-131
-1.358234029443811e-135
0.0ms
-1.378225980652766e-115
-2.3732422145244626e-122
0.0ms
-3.023543083926248e-22
-1.6771037787135863e-22
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes887.0ms (2%)

Counts
21 → 5
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(sin.f64 th)
(neg.f64 (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 (*.f64 (sin.f64 th) ky) kx)
(*.f64 (/.f64 th kx) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) kx)
(*.f64 th (/.f64 (sin.f64 ky) kx))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 ky) th) ky))
(/.f64 1 (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (*.f64 (/.f64 1 kx) (sin.f64 th)))
(-.f64 (+.f64 1 (*.f64 ky (/.f64 (sin.f64 th) kx))) 1)
(*.f64 ky (/.f64 (+.f64 th (*.f64 -1/6 (pow.f64 th 3))) kx))
(*.f64 (sin.f64 ky) (+.f64 (/.f64 th kx) (*.f64 th (*.f64 kx 1/6))))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 ky (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 th) kx) (sin.f64 ky))
Outputs
(neg.f64 (sin.f64 th))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(neg.f64 (sin.f64 th))
(/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th)))
(sin.f64 th)
Calls

8 calls:

175.0ms
th
152.0ms
ky
145.0ms
kx
110.0ms
(sin.f64 kx)
78.0ms
(sin.f64 ky)
Results
ErrorSegmentsBranch
33.3b11kx
34.1b6ky
41.0b8th
24.9b5(sin.f64 ky)
24.9b5(sin.f64 ky)
33.8b10(sin.f64 kx)
42.4b6(sin.f64 th)
42.4b6(sin.f64 th)
Compiler

Compiled 180 to 87 computations (51.7% saved)

bsearch1.0ms (0%)

Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
1.666113249715404e-254
9.760714384363016e-234
0.0ms
-1.7766202213103145e-131
-1.358234029443811e-135
0.0ms
-1.378225980652766e-115
-2.3732422145244626e-122
0.0ms
-3.023543083926248e-22
-1.6771037787135863e-22
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes835.0ms (1.9%)

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

9 calls:

162.0ms
kx
145.0ms
(sin.f64 kx)
135.0ms
(sin.f64 kx)
118.0ms
(sin.f64 th)
69.0ms
(sin.f64 th)
Results
ErrorSegmentsBranch
37.3b11kx
37.7b4ky
42.7b6th
28.5b3(sin.f64 ky)
28.5b3(sin.f64 ky)
36.7b11(sin.f64 kx)
36.7b11(sin.f64 kx)
42.4b6(sin.f64 th)
42.4b6(sin.f64 th)
Compiler

Compiled 164 to 86 computations (47.6% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.666113249715404e-254
9.760714384363016e-234
0.0ms
-5.112158752303111e-170
-7.445861514855182e-171
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes183.0ms (0.4%)

Counts
5 → 4
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(sin.f64 th)
(neg.f64 (sin.f64 th))
Outputs
(neg.f64 (sin.f64 th))
(*.f64 ky (/.f64 th kx))
(sin.f64 th)
(neg.f64 (sin.f64 th))
Calls

4 calls:

79.0ms
kx
52.0ms
ky
27.0ms
th
22.0ms
(sin.f64 th)
Results
ErrorSegmentsBranch
38.8b9kx
38.7b4ky
43.9b4th
43.5b4(sin.f64 th)
Compiler

Compiled 40 to 24 computations (40% saved)

bsearch641.0ms (1.4%)

Algorithm
3×binary-search
Steps
TimeLeftRight
256.0ms
4.418805759501369e+38
4.5840882303636186e+52
229.0ms
1.5843684315940908e-254
1.666113249715404e-254
155.0ms
-5.112158752303111e-170
-7.445861514855182e-171
Compiler

Compiled 25 to 19 computations (24% saved)

regimes62.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(sin.f64 th)
Outputs
(sin.f64 th)
(*.f64 ky (/.f64 th kx))
(sin.f64 th)
Calls

4 calls:

25.0ms
ky
16.0ms
kx
9.0ms
(sin.f64 th)
9.0ms
th
Results
ErrorSegmentsBranch
45.0b2kx
42.6b3ky
46.4b1th
46.4b1(sin.f64 th)
Compiler

Compiled 37 to 23 computations (37.8% saved)

bsearch441.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
122.0ms
1.5843684315940908e-254
1.666113249715404e-254
319.0ms
-2.2519877806256473e-16
-3.023543083926248e-22
Compiler

Compiled 25 to 19 computations (24% saved)

regimes12.0ms (0%)

Accuracy

Total -0.4b remaining (-0.6%)

Threshold costs -0.4b (-0.6%)

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

3 calls:

4.0ms
ky
4.0ms
th
4.0ms
kx
Results
ErrorSegmentsBranch
57.4b1kx
57.4b1ky
57.4b1th
Compiler

Compiled 30 to 18 computations (40% saved)

simplify84.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
21×*-commutative_binary64
6×+-commutative_binary64
6×sub-neg_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01531188
11861188
21971188
32031188
42061188
52071188
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 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(if (<=.f64 (sin.f64 ky) -45869972319801432/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 (sin.f64 ky) 7482888383134223/374144419156711147060143317175368453031918731001856) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 ky) -922337203685477632/18446744073709551616) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 7922816251426434/79228162514264337593543950336) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -922337203685477632/18446744073709551616) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 7922816251426434/79228162514264337593543950336) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -2028240960365167/10141204801825835211973625643008) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) -6798566308054619/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192) (*.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) -3919106648525874/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) (*.f64 (/.f64 (sin.f64 ky) (-.f64 (*.f64 (*.f64 (/.f64 kx ky) kx) -1/2) ky)) (sin.f64 th)) (if (<=.f64 (sin.f64 ky) -898846567431158016/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (*.f64 ky (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) (sin.f64 th))) (if (<=.f64 (sin.f64 ky) 6455624695217271/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 kx ky)) (if (<=.f64 (sin.f64 ky) 5391989333430127616/26959946667150639794667015087019630673637144422540572481103610249216) (*.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) -2028240960365167/10141204801825835211973625643008) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) -6798566308054619/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 kx))))))) (if (<=.f64 (sin.f64 ky) -3919106648525874/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) (*.f64 (/.f64 (sin.f64 ky) (-.f64 (*.f64 (*.f64 (/.f64 kx ky) kx) -1/2) ky)) (sin.f64 th)) (if (<=.f64 (sin.f64 ky) -898846567431158016/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (*.f64 ky (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) (sin.f64 th))) (if (<=.f64 (sin.f64 ky) 6455624695217271/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 kx ky)) (if (<=.f64 (sin.f64 ky) 5391989333430127616/26959946667150639794667015087019630673637144422540572481103610249216) (*.f64 ky (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) (sin.f64 th))) (sin.f64 th)))))))
(if (<=.f64 (sin.f64 ky) -2028240960365167/10141204801825835211973625643008) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) -6798566308054619/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192) (*.f64 ky (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) (sin.f64 th))) (if (<=.f64 (sin.f64 ky) -3919106648525874/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) (*.f64 (/.f64 (sin.f64 ky) (-.f64 (*.f64 (*.f64 (/.f64 kx ky) kx) -1/2) ky)) (sin.f64 th)) (if (<=.f64 (sin.f64 ky) -898846567431158016/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (*.f64 ky (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) (sin.f64 th))) (if (<=.f64 (sin.f64 ky) 6455624695217271/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 kx ky)) (if (<=.f64 (sin.f64 ky) 5391989333430127616/26959946667150639794667015087019630673637144422540572481103610249216) (*.f64 ky (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (*.f64 kx 2)))))) (sin.f64 th))) (sin.f64 th)))))))
(if (<=.f64 (sin.f64 ky) -6070840288205403/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 6455624695217271/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 kx ky)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -68056473384187696/340282366920938463463374607431768211456) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) -554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (if (<=.f64 (sin.f64 ky) -1997919072202235/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264) (*.f64 (/.f64 (sin.f64 ky) (neg.f64 ky)) (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 8618206661096855/172364133221937103085272756482216056112753534658909761028039668631756215232006744379020625060744018369805777923479247838020220755974022884986972234404720831691332769255536872593544438018353486799545737272878084128768) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))) (if (<=.f64 (sin.f64 ky) 8461516400515182/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky) (if (<=.f64 (sin.f64 ky) 5391989333430127616/26959946667150639794667015087019630673637144422540572481103610249216) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (sin.f64 th)))))))
(if (<=.f64 (sin.f64 ky) -68056473384187696/340282366920938463463374607431768211456) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) -554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (if (<=.f64 (sin.f64 ky) -1997919072202235/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 8618206661096855/172364133221937103085272756482216056112753534658909761028039668631756215232006744379020625060744018369805777923479247838020220755974022884986972234404720831691332769255536872593544438018353486799545737272878084128768) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))) (if (<=.f64 (sin.f64 ky) 8461516400515182/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) ky) (if (<=.f64 (sin.f64 ky) 5391989333430127616/26959946667150639794667015087019630673637144422540572481103610249216) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (sin.f64 th)))))))
(if (<=.f64 (sin.f64 ky) -68056473384187696/340282366920938463463374607431768211456) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) -554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (if (<=.f64 (sin.f64 ky) -1997919072202235/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 10565890622713304/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))) (sin.f64 th)))))
(if (<=.f64 (sin.f64 ky) -68056473384187696/340282366920938463463374607431768211456) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) -554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))) (if (<=.f64 (sin.f64 ky) -1997919072202235/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 10565890622713304/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))) (sin.f64 th)))))
(if (<=.f64 (sin.f64 ky) -6798566308054619/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 10565890622713304/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (*.f64 (/.f64 ky kx) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 ky -3475535025483447/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384) (neg.f64 (sin.f64 th)) (if (<=.f64 ky 8370131777151495/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (*.f64 ky (/.f64 th kx)) (if (<=.f64 ky 441880575950136933349033641311530385408) (sin.f64 th) (neg.f64 (sin.f64 th)))))
(if (<=.f64 ky -142736683090837/633825300114114700748351602688) (sin.f64 th) (if (<=.f64 ky 8370131777151495/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (*.f64 ky (/.f64 th kx)) (sin.f64 th)))
(/.f64 ky (/.f64 kx th))
(*.f64 ky (/.f64 th kx))
Outputs
(*.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)))
(if (<=.f64 (sin.f64 ky) -45869972319801432/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 (sin.f64 ky) 7482888383134223/374144419156711147060143317175368453031918731001856) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
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(if (<=.f64 (sin.f64 ky) -4253529586511731/21267647932558653966460912964485513216) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) -554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) (if (<=.f64 (sin.f64 ky) -1997919072202235/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 8618206661096855/172364133221937103085272756482216056112753534658909761028039668631756215232006744379020625060744018369805777923479247838020220755974022884986972234404720831691332769255536872593544438018353486799545737272878084128768) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))) (if (<=.f64 (sin.f64 ky) 4230758200257591/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) ky) (if (<=.f64 (sin.f64 ky) 5265614583427859/26328072917139296674479506920917608079723773850137277813577744384) (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) (sin.f64 th)))))))
(if (<=.f64 (sin.f64 ky) -68056473384187696/340282366920938463463374607431768211456) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) -554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (if (<=.f64 (sin.f64 ky) -1997919072202235/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 10565890622713304/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))) (sin.f64 th)))))
(if (<=.f64 (sin.f64 ky) -4253529586511731/21267647932558653966460912964485513216) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) -554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) (if (<=.f64 (sin.f64 ky) -1997919072202235/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 1320736327839163/66036816391958155794042473114564575814855915754515190265995088628334237819590607434302156985957148486834299374157141084860293444937835692156317372307867447113548335499875635521091439709553305131628029113526398550518503536593945217354799612345879559561192322612217249792) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))) (sin.f64 th)))))
(if (<=.f64 (sin.f64 ky) -68056473384187696/340282366920938463463374607431768211456) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) -554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))) (if (<=.f64 (sin.f64 ky) -1997919072202235/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 10565890622713304/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))) (sin.f64 th)))))
(if (<=.f64 (sin.f64 ky) -4253529586511731/21267647932558653966460912964485513216) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) -554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))) (if (<=.f64 (sin.f64 ky) -1997919072202235/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 1320736327839163/66036816391958155794042473114564575814855915754515190265995088628334237819590607434302156985957148486834299374157141084860293444937835692156317372307867447113548335499875635521091439709553305131628029113526398550518503536593945217354799612345879559561192322612217249792) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))) (sin.f64 th)))))
(if (<=.f64 (sin.f64 ky) -6798566308054619/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 10565890622713304/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (*.f64 (/.f64 ky kx) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -6798566308054619/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768) (neg.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 1320736327839163/66036816391958155794042473114564575814855915754515190265995088628334237819590607434302156985957148486834299374157141084860293444937835692156317372307867447113548335499875635521091439709553305131628029113526398550518503536593945217354799612345879559561192322612217249792) (*.f64 (sin.f64 th) (/.f64 ky kx)) (sin.f64 th)))
(if (<=.f64 ky -3475535025483447/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384) (neg.f64 (sin.f64 th)) (if (<=.f64 ky 8370131777151495/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (*.f64 ky (/.f64 th kx)) (if (<=.f64 ky 441880575950136933349033641311530385408) (sin.f64 th) (neg.f64 (sin.f64 th)))))
(if (<=.f64 ky -142736683090837/633825300114114700748351602688) (sin.f64 th) (if (<=.f64 ky 8370131777151495/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (*.f64 ky (/.f64 th kx)) (sin.f64 th)))
(/.f64 ky (/.f64 kx th))
(*.f64 ky (/.f64 th kx))
Compiler

Compiled 807 to 454 computations (43.7% saved)

soundness73.0ms (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
376772140
Stop Event
1×node limit
Compiler

Compiled 50 to 36 computations (28% saved)

end324.0ms (0.7%)

Compiler

Compiled 756 to 318 computations (57.9% saved)

Profiling

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