Details

Time bar (total: 30.9s)

analyze687.0ms (2.2%)

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

Compiled 20 to 15 computations (25% saved)

sample8.1s (26.1%)

Results
6.2s4793×body1024valid
1.0s1490×body512valid
780.0ms1958×body256valid
37.0ms15×body2048valid
Bogosity

preprocess116.0ms (0.4%)

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)

simplify86.0ms (0.3%)

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
▶4.7b
(*.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)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 36 to 9 computations (75% saved)

series37.0ms (0.1%)

Counts
4 → 100
Calls

27 calls:

TimeVariablePointExpression
4.0ms
ky
@inf
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
4.0ms
kx
@inf
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
3.0ms
th
@0
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
3.0ms
ky
@0
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
2.0ms
kx
@0
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))

rewrite668.0ms (2.2%)

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

Useful iterations: 0 (0.0ms)

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

simplify98.0ms (0.3%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
02333903
17263742
225763534
Stop Event
1×node limit
Counts
241 → 213
Calls
Call 1
Inputs
(*.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))
(/.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)))
(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)))
th
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) (+.f64 (*.f64 1/120 (pow.f64 th 5)) th))
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) (+.f64 (*.f64 -1/5040 (pow.f64 th 7)) (+.f64 (*.f64 1/120 (pow.f64 th 5)) th)))
Outputs
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) th)
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 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))
(fma.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 (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)))) (*.f64 -1/6 (pow.f64 th 3))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (fma.f64 -1/6 (pow.f64 th 3) 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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (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 (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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (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 (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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (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 (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)))
(sin.f64 th)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th))
(fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 kx kx))) (sin.f64 th))
(fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (*.f64 kx kx)) (sin.f64 th))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (sin.f64 th)))
(fma.f64 -1 (*.f64 (pow.f64 kx 4) (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))))))) (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 (pow.f64 kx 4) (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))))))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (*.f64 kx kx)) (sin.f64 th)) (*.f64 (pow.f64 kx 4) (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 1/3 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2))) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th)) (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 4) -1/4)))))
(+.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 (pow.f64 kx 4) (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))))))) (+.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 kx kx))) (sin.f64 th)) (neg.f64 (*.f64 (pow.f64 kx 6) (fma.f64 -1/2 (/.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))))) (pow.f64 (sin.f64 ky) 2)) (fma.f64 1/2 (/.f64 (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))))))))
(-.f64 (-.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 kx kx))) (sin.f64 th)) (*.f64 (pow.f64 kx 6) (fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (*.f64 -1/4 (/.f64 (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 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (/.f64 (pow.f64 (sin.f64 ky) 4) (sin.f64 th)))))))) (*.f64 (pow.f64 kx 4) (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 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 (pow.f64 kx 4) (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 1/3 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2))) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th)) (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 4) -1/4))))) (*.f64 (pow.f64 kx 6) (fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 1/3 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2))) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th)) (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 4) -1/4))) (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 (pow.f64 (sin.f64 ky) 2) (+.f64 1/3 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2))))))) (*.f64 (/.f64 (*.f64 1/4 (sin.f64 th)) (pow.f64 (sin.f64 ky) 4)) (+.f64 1/3 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2))))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (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 (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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (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 (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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (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 (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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (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 (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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (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 (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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (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 (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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (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 (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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (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 (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)))
(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))
(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 ky (/.f64 (sin.f64 kx) ky)) (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (sin.f64 kx)) (pow.f64 ky 4)) (sin.f64 kx)))
(fma.f64 1/2 (*.f64 (/.f64 ky (sin.f64 kx)) ky) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 ky 4) (sin.f64 kx)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (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))))))
(+.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 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (sin.f64 kx)) (pow.f64 ky 4)) (*.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 kx)) (pow.f64 ky 6)))))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 ky 4) (sin.f64 kx)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (sin.f64 kx)) (*.f64 1/2 (+.f64 (*.f64 (/.f64 (pow.f64 ky 6) (sin.f64 kx)) (+.f64 2/45 (/.f64 (+.f64 1/6 (*.f64 1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (/.f64 ky (sin.f64 kx)) 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 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 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (/.f64 (sin.f64 ky) (pow.f64 kx 4))) (fma.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (sin.f64 ky)))
(fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (/.f64 (sin.f64 ky) (pow.f64 kx 4))) (fma.f64 1/2 (/.f64 kx (/.f64 (sin.f64 ky) kx)) (sin.f64 ky)))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 kx 4) (sin.f64 ky)) (+.f64 1/3 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)))) (fma.f64 1/2 (*.f64 (/.f64 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 (*.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 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (/.f64 (sin.f64 ky) (pow.f64 kx 4))) (fma.f64 1/2 (/.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)))) (/.f64 (sin.f64 ky) (pow.f64 kx 6))) (fma.f64 1/2 (/.f64 (*.f64 kx kx) (sin.f64 ky)) (sin.f64 ky))))
(fma.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (/.f64 (sin.f64 ky) (pow.f64 kx 4))) (fma.f64 1/2 (/.f64 (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)))) (/.f64 (sin.f64 ky) (pow.f64 kx 6))) (fma.f64 1/2 (/.f64 kx (/.f64 (sin.f64 ky) kx)) (sin.f64 ky))))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 kx 4) (sin.f64 ky)) (+.f64 1/3 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2)))) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 kx 6) (sin.f64 ky)) (+.f64 2/45 (/.f64 1/2 (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/3 (/.f64 1/4 (pow.f64 (sin.f64 ky) 2))))))) (fma.f64 1/2 (*.f64 (/.f64 kx (sin.f64 ky)) kx) (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))
th
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(fma.f64 -1/6 (pow.f64 th 3) th)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) (+.f64 (*.f64 1/120 (pow.f64 th 5)) th))
(fma.f64 -1/6 (pow.f64 th 3) (fma.f64 1/120 (pow.f64 th 5) th))
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) (+.f64 (*.f64 -1/5040 (pow.f64 th 7)) (+.f64 (*.f64 1/120 (pow.f64 th 5)) th)))
(fma.f64 -1/6 (pow.f64 th 3) (fma.f64 -1/5040 (pow.f64 th 7) (fma.f64 1/120 (pow.f64 th 5) th)))

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
✓0.2b
(pow.f64 (sin.f64 kx) 2)
✓0.2b
(pow.f64 (sin.f64 ky) 2)
✓4.4b
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
Compiler

Compiled 69 to 37 computations (46.4% saved)

series23.0ms (0.1%)

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
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))
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))

rewrite86.0ms (0.3%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01454
129938
2382838
Stop Event
1×node limit
Counts
4 → 104
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
(pow.f64 (sin.f64 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))))))

simplify94.0ms (0.3%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
02062422
16012274
220182140
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))))))
(+.f64 (sin.f64 kx) (fma.f64 1/2 (*.f64 (/.f64 ky (sin.f64 kx)) ky) (fma.f64 1/2 (*.f64 (pow.f64 ky 6) (/.f64 (-.f64 2/45 (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6) (pow.f64 (sin.f64 kx) 2))) (sin.f64 kx))) (*.f64 (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2) -1/6) (sin.f64 kx)) (pow.f64 ky 4)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(pow.f64 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))))
(+.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))))
(+.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 (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)))))))
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(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)))
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(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 kx kx) (sin.f64 th)) (pow.f64 (sin.f64 ky) 2)) (fma.f64 -1/2 (*.f64 (+.f64 (/.f64 2/45 (pow.f64 (sin.f64 ky) 4)) (+.f64 (/.f64 2/3 (pow.f64 (sin.f64 ky) 6)) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (sin.f64 ky) 4)) (-.f64 (/.f64 1 (pow.f64 (sin.f64 ky) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2))) (pow.f64 (sin.f64 ky) 2)) (/.f64 1 (pow.f64 (sin.f64 ky) 8))))) (*.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 6)))) (+.f64 (sin.f64 th) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1/3 (pow.f64 (sin.f64 ky) 4)) (-.f64 (/.f64 1 (pow.f64 (sin.f64 ky) 6)) (pow.f64 (/.f64 -1/2 (pow.f64 (sin.f64 ky) 3)) 2))) (*.f64 (sin.f64 th) (*.f64 (pow.f64 kx 4) (pow.f64 (sin.f64 ky) 2))))))))
(fma.f64 -1/2 (/.f64 (*.f64 kx kx) (/.f64 (pow.f64 (sin.f64 ky) 2) (sin.f64 th))) (fma.f64 -1/2 (*.f64 (sin.f64 th) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 kx 6)) (+.f64 (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))))))

eval160.0ms (0.5%)

Compiler

Compiled 9707 to 4627 computations (52.3% saved)

prune78.0ms (0.3%)

Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New35419373
Fresh000
Picked101
Done011
Total35520375
Error
0b
Counts
375 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
45.2b
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
▶0.2b
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
9.9b
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
0.2b
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
31.5b
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
0.3b
(*.f64 (sin.f64 ky) (/.f64 (log1p.f64 (expm1.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
0.4b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
▶12.7b
(*.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
10.1b
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 kx) 2))) 1) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
▶47.9b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
▶47.9b
(sin.f64 th)
45.2b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
47.3b
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
10.0b
(*.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))
46.8b
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
1.3b
(*.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3))
0.3b
(*.f64 (sin.f64 ky) (/.f64 (expm1.f64 (log1p.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
3.1b
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))
▶0.3b
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
✓0.3b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
Compiler

Compiled 572 to 401 computations (29.9% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

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

series17.0ms (0.1%)

Counts
3 → 84
Calls

21 calls:

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

rewrite89.0ms (0.3%)

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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((#(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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (cbrt.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 ky) -1/2) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sqrt.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) 2) (sqrt.f64 (sin.f64 ky))) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sqrt.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.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 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) 3) 1/3)))) (#(struct:change 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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))))))

simplify105.0ms (0.3%)

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)))
(*.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)))
(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)))
(+.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 kx) (sin.f64 th))) (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 (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) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky (*.f64 (-.f64 (/.f64 (*.f64 1/120 (sin.f64 th)) (sin.f64 kx)) (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))))
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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)) (fma.f64 (-.f64 (/.f64 (*.f64 -1/5040 (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)))))
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(fma.f64 (-.f64 (/.f64 (*.f64 1/120 (sin.f64 th)) (sin.f64 kx)) (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 (*.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 (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 (*.f64 1/120 (sin.f64 th)) (sin.f64 kx)) (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)))))
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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)))
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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 th) (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)))
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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)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (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)))
1
(+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 kx 2) (pow.f64 (sin.f64 ky) 2))))
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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 (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))
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(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))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 th)
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize11.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiled 22 to 7 computations (68.2% saved)

series7.0ms (0%)

Counts
2 → 32
Calls

12 calls:

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

rewrite59.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

simplify54.0ms (0.2%)

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

Useful iterations: 3 (0.0ms)

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

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 th)
0.1b
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓0.3b
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
✓0.3b
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
Compiler

Compiled 36 to 9 computations (75% saved)

series11.0ms (0%)

Counts
2 → 72
Calls

18 calls:

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

rewrite88.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

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

simplify77.0ms (0.2%)

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

Useful iterations: 2 (0.0ms)

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

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
✓0.2b
(*.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
0.2b
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓0.3b
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
Compiler

Compiled 57 to 11 computations (80.7% saved)

series196.0ms (0.6%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
52.0ms
th
@inf
(log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
51.0ms
ky
@inf
(log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
21.0ms
th
@-inf
(log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
21.0ms
kx
@inf
(log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
18.0ms
kx
@-inf
(log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

rewrite142.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
551×log-prod_binary64
314×prod-diff_binary64
310×pow-prod-down_binary64
293×pow2_binary64
206×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01246
122246
2273946
Stop Event
1×node limit
Counts
3 → 112
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.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 (+.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1) 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 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (pow.f64 (cbrt.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 (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 (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 (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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 (sqrt.f64 (sin.f64 th)) (cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 2))) (/.f64 (sqrt.f64 (sin.f64 th)) (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 th) (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 th)) 2) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (cbrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sqrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (sin.f64 th))) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1) 3) 1) (+.f64 (pow.f64 (+.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1) 2) (+.f64 1 (*.f64 (+.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1) 2) 1) (+.f64 (+.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 th) 1) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (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 pow.f64 (/.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 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 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 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) 1) -1)))) (#(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 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (/.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 (+.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) (log.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 2))) (log.f64 (-.f64 1 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (pow.f64 (cbrt.f64 (log1p.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 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2) (cbrt.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.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 (log1p.f64 (/.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 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.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 (log1p.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 (log1p.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 (log1p.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 (log1p.f64 (/.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 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) 1) 1))))))

simplify156.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
740×associate-*l/_binary64
705×distribute-rgt-in_binary64
696×distribute-lft-in_binary64
264×fma-def_binary64
250×associate-/r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03055452
19575415
236855213
Stop Event
1×node limit
Counts
220 → 185
Calls
Call 1
Inputs
(*.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))))
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(log.f64 (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 kx))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 2)) (*.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 kx)))))) (log.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 2)) (*.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 kx)))))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (sin.f64 th) 2) (*.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 kx))) 2)))) (*.f64 -24 (/.f64 (+.f64 (*.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))) (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 5)))) (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 kx)))))) (pow.f64 ky 4))) (log.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 kx))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 2)) (*.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 kx)))))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (sin.f64 th) 2) (*.f64 (pow.f64 (sin.f64 kx) 6) (pow.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 kx))) 2)))) (*.f64 -24 (/.f64 (+.f64 (*.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))) (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 5)))) (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 kx)))))) (pow.f64 ky 4))) (+.f64 (log.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 kx)))) (*.f64 1/720 (*.f64 (+.f64 (*.f64 -360 (/.f64 (*.f64 (+.f64 (*.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))) (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 5)))) (sin.f64 th)) (*.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 kx))) 2)))) (+.f64 (*.f64 -30 (/.f64 (pow.f64 (sin.f64 th) 3) (*.f64 (pow.f64 (sin.f64 kx) 9) (pow.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 kx))) 3)))) (*.f64 -720 (/.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))))) (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 kx))))))) (pow.f64 ky 6))))))
(log.f64 (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))))
(log.f64 (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))))
(log.f64 (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))))
(log.f64 (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))))
(log.f64 (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))))
(log.f64 (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))))
(log.f64 (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))))
(log.f64 (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))))
(+.f64 (log.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky)))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (*.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))) (pow.f64 (sin.f64 ky) 3)))))
(+.f64 (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (sin.f64 th) 2) (*.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))) 2) (pow.f64 (sin.f64 ky) 6)))) (*.f64 -24 (/.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)))) (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky)))))) (pow.f64 kx 4))) (+.f64 (log.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky)))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (*.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))) (pow.f64 (sin.f64 ky) 3))))))
(+.f64 (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (sin.f64 th) 2) (*.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))) 2) (pow.f64 (sin.f64 ky) 6)))) (*.f64 -24 (/.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)))) (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky)))))) (pow.f64 kx 4))) (+.f64 (log.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (*.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))) (pow.f64 (sin.f64 ky) 3)))) (*.f64 1/720 (*.f64 (+.f64 (*.f64 -720 (/.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))))) (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))))) (+.f64 (*.f64 -30 (/.f64 (pow.f64 (sin.f64 th) 3) (*.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))) 3) (pow.f64 (sin.f64 ky) 9)))) (*.f64 -360 (/.f64 (*.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)))) (sin.f64 th)) (*.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))) 2) (pow.f64 (sin.f64 ky) 3)))))) (pow.f64 kx 6))))))
(log.f64 (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))))
(log.f64 (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))))
(log.f64 (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))))
(log.f64 (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))))
(log.f64 (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))))
(log.f64 (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))))
(log.f64 (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))))
(log.f64 (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))))
Outputs
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) th)
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 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))
(fma.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 (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)))) (*.f64 (pow.f64 th 3) -1/6)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 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)))) (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)))
(fma.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)) (fma.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 1/120 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (pow.f64 th 5)) (fma.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)))) (*.f64 (pow.f64 th 3) -1/6))))
(fma.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 th 5)) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 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)))) (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))))
(fma.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)) (fma.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)) (fma.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))))
(fma.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)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) -1/6) (pow.f64 th 3) (fma.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)))) (*.f64 (pow.f64 th 7) -1/5040)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (+.f64 th (*.f64 -1/5040 (pow.f64 th 7)))) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 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)))) (sin.f64 th))
(*.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 (+.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)))) (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 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 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 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 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 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 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 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 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 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 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 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 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)))
(fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (*.f64 ky ky))) (/.f64 (sin.f64 th) (sin.f64 kx)))
(fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (*.f64 ky ky)) (/.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))))
(fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 kx) 3) (*.f64 ky ky))) (fma.f64 -1 (*.f64 (pow.f64 ky 4) (fma.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)))) (/.f64 (*.f64 -1/4 (sin.f64 th)) (pow.f64 (sin.f64 kx) 5)))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (*.f64 ky ky)) (-.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (pow.f64 ky 4) (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 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 5)))))))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (*.f64 ky ky)) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky 4) (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 (*.f64 (sin.f64 th) -1/4) (pow.f64 (sin.f64 kx) 5)))))
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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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
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(*.f64 (sin.f64 ky) (*.f64 (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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
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(*.f64 (sin.f64 ky) (*.f64 (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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (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 (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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (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 (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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
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(fma.f64 1/120 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (pow.f64 th 5))) (*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (+.f64 th (*.f64 -1/6 (pow.f64 th 3))))))
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(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)))))
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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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
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(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (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 (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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (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 (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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (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 (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)))
(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 kx) (/.f64 (pow.f64 (sin.f64 ky) 2) (sin.f64 th))) (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 (pow.f64 kx 4) (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))))))) (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 kx kx) (/.f64 (pow.f64 (sin.f64 ky) 2) (sin.f64 th))) (sin.f64 th)) (*.f64 (pow.f64 kx 4) (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))))))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (*.f64 kx kx)) (sin.f64 th)) (*.f64 (pow.f64 kx 4) (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th)) (*.f64 (/.f64 -1/4 (pow.f64 (sin.f64 ky) 4)) (sin.f64 th)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 kx 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (pow.f64 (sin.f64 ky) 2))) (+.f64 (sin.f64 th) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 2)))) (pow.f64 (sin.f64 ky) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 th) (-.f64 2/45 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (pow.f64 (sin.f64 ky) 2))))) (pow.f64 (sin.f64 ky) 2))) (*.f64 1/4 (/.f64 (*.f64 (sin.f64 th) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)) (pow.f64 (sin.f64 ky) 4))))) (pow.f64 kx 6))))))
(fma.f64 -1 (*.f64 (pow.f64 kx 4) (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))))))) (+.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 kx kx))) (sin.f64 th)) (neg.f64 (*.f64 (pow.f64 kx 6) (fma.f64 -1/2 (/.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))))) (pow.f64 (sin.f64 ky) 2)) (fma.f64 1/2 (/.f64 (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))))))))
(-.f64 (-.f64 (fma.f64 -1/2 (/.f64 (*.f64 kx kx) (/.f64 (pow.f64 (sin.f64 ky) 2) (sin.f64 th))) (sin.f64 th)) (*.f64 (pow.f64 kx 6) (fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (*.f64 -1/4 (/.f64 (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)))))))) (*.f64 (pow.f64 kx 4) (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 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 (pow.f64 kx 4) (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th)) (*.f64 (/.f64 -1/4 (pow.f64 (sin.f64 ky) 4)) (sin.f64 th))))) (*.f64 (pow.f64 kx 6) (fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th)) (*.f64 (/.f64 -1/4 (pow.f64 (sin.f64 ky) 4)) (sin.f64 th))) (pow.f64 (sin.f64 ky) 2)) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 2/45 (/.f64 1/2 (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))))) (*.f64 (/.f64 (*.f64 1/4 (sin.f64 th)) (pow.f64 (sin.f64 ky) 4)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (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 (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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (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 (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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (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 (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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (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)))
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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)))
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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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (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 (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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (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 (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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (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 (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 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) th)
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) th)
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(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) th (/.f64 (*.f64 -1/2 (*.f64 th th)) (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))
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(fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) th (*.f64 (/.f64 -1/2 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2))) (*.f64 th th)))
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(fma.f64 1/6 (*.f64 (pow.f64 th 3) (-.f64 (*.f64 2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)) 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)))) th (*.f64 -1/2 (/.f64 (*.f64 th th) (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))))
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(fma.f64 1/24 (*.f64 (pow.f64 kx 4) (fma.f64 -3 (/.f64 (pow.f64 (sin.f64 th) 2) (*.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))) 2) (pow.f64 (sin.f64 ky) 6))) (*.f64 -24 (/.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5)))) (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))))))) (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky)))) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 3))) (log1p.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))
(fma.f64 (+.f64 (/.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))) 2) (pow.f64 (sin.f64 ky) 6)) (pow.f64 (sin.f64 th) 2))) (/.f64 -1 (/.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))) (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5))))))) (pow.f64 kx 4) (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 3)) (/.f64 (*.f64 kx kx) (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))))) (log1p.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))
(+.f64 (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (sin.f64 th) 2) (*.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))) 2) (pow.f64 (sin.f64 ky) 6)))) (*.f64 -24 (/.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)))) (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky)))))) (pow.f64 kx 4))) (+.f64 (log.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 2)) (*.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))) (pow.f64 (sin.f64 ky) 3)))) (*.f64 1/720 (*.f64 (+.f64 (*.f64 -720 (/.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))))) (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))))) (+.f64 (*.f64 -30 (/.f64 (pow.f64 (sin.f64 th) 3) (*.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))) 3) (pow.f64 (sin.f64 ky) 9)))) (*.f64 -360 (/.f64 (*.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)))) (sin.f64 th)) (*.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))) 2) (pow.f64 (sin.f64 ky) 3)))))) (pow.f64 kx 6))))))
(fma.f64 1/24 (*.f64 (pow.f64 kx 4) (fma.f64 -3 (/.f64 (pow.f64 (sin.f64 th) 2) (*.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))) 2) (pow.f64 (sin.f64 ky) 6))) (*.f64 -24 (/.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))))) (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))))))) (+.f64 (log1p.f64 (/.f64 (sin.f64 th) (sin.f64 ky))) (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (*.f64 (pow.f64 (sin.f64 ky) 3) (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky)))) (*.f64 kx kx))) (*.f64 1/720 (*.f64 (pow.f64 kx 6) (fma.f64 -720 (/.f64 (fma.f64 1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 3) (+.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)))))) (fma.f64 1/4 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 5) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))) (*.f64 -1/2 (/.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))))) (pow.f64 (sin.f64 ky) 2))))) (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky)))) (fma.f64 -30 (/.f64 (pow.f64 (sin.f64 th) 3) (*.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))) 3) (pow.f64 (sin.f64 ky) 9))) (*.f64 -360 (/.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 3) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))) 2)) (sin.f64 th)))))))))))
(+.f64 (fma.f64 1/24 (*.f64 (pow.f64 kx 4) (fma.f64 -3 (/.f64 (pow.f64 (sin.f64 th) 2) (*.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))) 2) (pow.f64 (sin.f64 ky) 6))) (*.f64 -24 (/.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5)))) (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))))))) (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky)))) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 3))) (log1p.f64 (/.f64 (sin.f64 th) (sin.f64 ky))))) (*.f64 1/720 (*.f64 (pow.f64 kx 6) (fma.f64 -720 (/.f64 (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 3)) (-.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))))) (fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5)))) (pow.f64 (sin.f64 ky) 2)) (*.f64 1/4 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))))) (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky)))) (fma.f64 -360 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))) 2)) (/.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5)))) (pow.f64 (sin.f64 ky) 3))) (*.f64 -30 (/.f64 (pow.f64 (sin.f64 th) 3) (*.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))) 3) (pow.f64 (sin.f64 ky) 9)))))))))
(+.f64 (fma.f64 (+.f64 (/.f64 -1/8 (/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))) 2) (pow.f64 (sin.f64 ky) 6)) (pow.f64 (sin.f64 th) 2))) (/.f64 -1 (/.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))) (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5))))))) (pow.f64 kx 4) (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 3)) (/.f64 (*.f64 kx kx) (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))))) (log1p.f64 (/.f64 (sin.f64 th) (sin.f64 ky))))) (*.f64 (fma.f64 -720 (/.f64 (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 3)) (+.f64 2/45 (/.f64 1/2 (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))))) (fma.f64 1/4 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (/.f64 (+.f64 (/.f64 1/8 (/.f64 (pow.f64 (sin.f64 ky) 5) (sin.f64 th))) (/.f64 1/4 (/.f64 (pow.f64 (sin.f64 ky) 3) (*.f64 (sin.f64 th) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))))) (pow.f64 (sin.f64 ky) 2)))) (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky)))) (fma.f64 -360 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))) 2)) (/.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 5)))) (pow.f64 (sin.f64 ky) 3))) (*.f64 -30 (/.f64 (pow.f64 (/.f64 (sin.f64 th) (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky)))) 3) (pow.f64 (sin.f64 ky) 9))))) (*.f64 (pow.f64 kx 6) 1/720)))
(log.f64 (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))))
(log1p.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)))
(log1p.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(log.f64 (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))))
(log1p.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)))
(log1p.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(log.f64 (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))))
(log1p.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)))
(log1p.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(log.f64 (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))))
(log1p.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)))
(log1p.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(log.f64 (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))))
(log1p.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)))
(log1p.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(log.f64 (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))))
(log1p.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)))
(log1p.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(log.f64 (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))))
(log1p.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)))
(log1p.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(log.f64 (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th))))
(log1p.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (sin.f64 th)))
(log1p.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))

eval504.0ms (1.6%)

Compiler

Compiled 21883 to 9695 computations (55.7% saved)

prune272.0ms (0.9%)

Pruning

48 alts after pruning (45 fresh and 3 done)

PrunedKeptTotal
New82940869
Fresh9514
Picked101
Done235
Total84148889
Error
0b
Counts
889 → 48
Alt Table
Click to see full alt table
StatusErrorProgram
44.1b
(/.f64 (sin.f64 th) (fma.f64 1/2 (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) 1))
57.1b
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 th))) 3))
45.2b
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
▶47.9b
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
✓0.2b
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
48.2b
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
31.5b
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
31.4b
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
14.7b
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (cbrt.f64 (pow.f64 (sin.f64 th) 3))))
2.8b
(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))))
0.3b
(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 1 (sin.f64 ky))))
0.2b
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 1 (/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))))
51.6b
(*.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))
0.3b
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (log1p.f64 (expm1.f64 (sin.f64 th)))))
47.9b
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
46.9b
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
48.6b
(-.f64 (+.f64 1 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))) 1)
46.8b
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
3.1b
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))
▶46.0b
(/.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)))
47.3b
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
31.5b
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
48.6b
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
48.6b
(log.f64 (exp.f64 (sin.f64 th)))
▶0.2b
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
55.4b
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
45.2b
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
46.9b
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
0.4b
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 th))))
47.0b
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
0.2b
(/.f64 (sin.f64 th) (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) -1))
✓47.9b
(sin.f64 th)
21.4b
(*.f64 (sin.f64 ky) (-.f64 (+.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1) 1))
45.2b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
47.9b
(expm1.f64 (log1p.f64 (sin.f64 th)))
46.8b
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
58.1b
(*.f64 (sin.f64 ky) (fma.f64 (sin.f64 th) (*.f64 ky 1/6) (/.f64 (sin.f64 th) ky)))
▶47.9b
(log1p.f64 (expm1.f64 (sin.f64 th)))
31.0b
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
58.1b
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (/.f64 (sin.f64 th) ky)))
57.0b
(exp.f64 (log.f64 (sin.f64 th)))
✓0.3b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
57.8b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
55.2b
th
45.2b
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
49.1b
(*.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
51.1b
(*.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))
▶55.8b
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
Compiler

Compiled 1157 to 825 computations (28.7% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 36 to 9 computations (75% saved)

series12.0ms (0%)

Counts
2 → 60
Calls

15 calls:

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

rewrite74.0ms (0.2%)

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))))))

simplify92.0ms (0.3%)

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

Useful iterations: 2 (0.0ms)

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

localize11.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiled 21 to 16 computations (23.8% saved)

series4.0ms (0%)

Counts
2 → 3
Calls

6 calls:

TimeVariablePointExpression
2.0ms
th
@0
(*.f64 -1/6 (pow.f64 th 3))
1.0ms
th
@inf
(*.f64 -1/6 (pow.f64 th 3))
1.0ms
th
@inf
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
1.0ms
th
@-inf
(*.f64 -1/6 (pow.f64 th 3))
0.0ms
th
@-inf
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)

rewrite57.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

simplify151.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 th)
✓0.1b
(expm1.f64 (sin.f64 th))
✓0.2b
(log1p.f64 (expm1.f64 (sin.f64 th)))
Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
th
@0
(log1p.f64 (expm1.f64 (sin.f64 th)))
0.0ms
th
@0
(expm1.f64 (sin.f64 th))
0.0ms
th
@inf
(expm1.f64 (sin.f64 th))
0.0ms
th
@-inf
(log1p.f64 (expm1.f64 (sin.f64 th)))
0.0ms
th
@-inf
(expm1.f64 (sin.f64 th))

rewrite49.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
353×pow1_binary64
340×add-sqr-sqrt_binary64
334×*-un-lft-identity_binary64
326×expm1-log1p-u_binary64
325×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
1808
28838
Stop Event
1×node limit
Counts
2 → 85
Calls
Call 1
Inputs
(log1p.f64 (expm1.f64 (sin.f64 th)))
(expm1.f64 (sin.f64 th))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 th))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 th)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (expm1.f64 (sin.f64 th)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (sin.f64 th)) 2) (expm1.f64 (sin.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sin.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (sin.f64 th)) 2))) (log.f64 (-.f64 1 (expm1.f64 (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (+.f64 1 th)) (cos.f64 1)) (*.f64 (cos.f64 (+.f64 1 th)) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 th) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (sin.f64 th)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (cbrt.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 th)) (sqrt.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 th) 1/4) (sqrt.f64 (pow.f64 (sin.f64 th) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 5/2)) (pow.f64 (sin.f64 th) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (cbrt.f64 (sin.f64 th))) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (sin.f64 th) 3/2)) (pow.f64 (sin.f64 th) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 5)) (pow.f64 (sin.f64 th) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (sin.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 th) (cbrt.f64 (sin.f64 th))) 2) 1/3) (cbrt.f64 (cbrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 th) 5/2) 1/3) (pow.f64 (sin.f64 th) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 th th)) (cos.f64 (+.f64 th th)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (sin.f64 th)) 3) 1) (+.f64 (*.f64 (+.f64 1 (sin.f64 th)) (+.f64 1 (sin.f64 th))) (+.f64 1 (*.f64 (+.f64 1 (sin.f64 th)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 th) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 th) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 th) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 th)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 th)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sin.f64 th)))) (sqrt.f64 (log.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sin.f64 th)) 2))) (cbrt.f64 (log.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sin.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 th) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 th)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 th))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 th))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 th))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (sin.f64 th)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (expm1.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (sin.f64 th))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (sin.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (sin.f64 th)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (sin.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (sin.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 (sin.f64 th)) 3) (+.f64 (pow.f64 (exp.f64 (sin.f64 th)) 2) (+.f64 1 (*.f64 (exp.f64 (sin.f64 th)) 1)))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (sin.f64 th)) 2) (+.f64 1 (*.f64 (exp.f64 (sin.f64 th)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 (sin.f64 th)) 2) (+.f64 (exp.f64 (sin.f64 th)) 1)) (/.f64 1 (+.f64 (exp.f64 (sin.f64 th)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (sin.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (sin.f64 th))) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 th))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 th))) 2) (cbrt.f64 (expm1.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (sin.f64 th))) (sqrt.f64 (expm1.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (expm1.f64 (sin.f64 th)) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 th)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (sin.f64 th)) (cbrt.f64 (expm1.f64 (sin.f64 th)))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 th)) 5/2)) (pow.f64 (expm1.f64 (sin.f64 th)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 th))) 5)) (pow.f64 (expm1.f64 (sin.f64 th)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 th)) 3/2)) (pow.f64 (expm1.f64 (sin.f64 th)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (expm1.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (sin.f64 th)) (cbrt.f64 (expm1.f64 (sin.f64 th)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (expm1.f64 (sin.f64 th)) 5/2) 1/3) (pow.f64 (expm1.f64 (sin.f64 th)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 th)) 3) 1) (+.f64 (pow.f64 (exp.f64 (sin.f64 th)) 2) (+.f64 1 (*.f64 (exp.f64 (sin.f64 th)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 th)) 2) 1) (+.f64 (exp.f64 (sin.f64 th)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 th)) 3) 1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 th)) 2) (+.f64 1 (*.f64 (exp.f64 (sin.f64 th)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 th)) 2) 1)) (neg.f64 (+.f64 (exp.f64 (sin.f64 th)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 th)) 3) -1) (+.f64 (pow.f64 (exp.f64 (sin.f64 th)) 2) (-.f64 1 (*.f64 (exp.f64 (sin.f64 th)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (sin.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (sin.f64 th)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (sin.f64 th)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (expm1.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (expm1.f64 (sin.f64 th))) 2))) (cbrt.f64 (log.f64 (expm1.f64 (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (sin.f64 th))))) (sqrt.f64 (log.f64 (expm1.f64 (sin.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 th)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (expm1.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 th)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (sin.f64 th)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (sin.f64 th)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (sin.f64 th)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 (sin.f64 th)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 th))) 2) (cbrt.f64 (exp.f64 (sin.f64 th))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 (sin.f64 th))) (sqrt.f64 (exp.f64 (sin.f64 th))) -1)))))

simplify163.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1346×fma-def_binary64
714×sqr-pow_binary64
543×cube-prod_binary64
371×*-commutative_binary64
324×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037156
198156
2217156
3587156
41520156
53011156
63235156
73442156
83673156
93953156
104354156
115215156
125779156
136493156
146815156
157205156
167513156
177821156
Stop Event
1×node limit
Counts
109 → 99
Calls
Call 1
Inputs
th
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) (+.f64 (*.f64 1/120 (pow.f64 th 5)) th))
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) (+.f64 (*.f64 -1/5040 (pow.f64 th 7)) (+.f64 (*.f64 1/120 (pow.f64 th 5)) th)))
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
th
(+.f64 (*.f64 1/2 (pow.f64 th 2)) th)
(+.f64 (*.f64 1/2 (pow.f64 th 2)) (+.f64 (*.f64 -1/8 (pow.f64 th 4)) th))
(+.f64 (*.f64 -1/15 (pow.f64 th 5)) (+.f64 (*.f64 1/2 (pow.f64 th 2)) (+.f64 (*.f64 -1/8 (pow.f64 th 4)) th)))
(-.f64 (exp.f64 (sin.f64 th)) 1)
(-.f64 (exp.f64 (sin.f64 th)) 1)
(-.f64 (exp.f64 (sin.f64 th)) 1)
(-.f64 (exp.f64 (sin.f64 th)) 1)
(-.f64 (exp.f64 (sin.f64 th)) 1)
(-.f64 (exp.f64 (sin.f64 th)) 1)
(-.f64 (exp.f64 (sin.f64 th)) 1)
(-.f64 (exp.f64 (sin.f64 th)) 1)
Outputs
th
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(fma.f64 -1/6 (pow.f64 th 3) th)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) (+.f64 (*.f64 1/120 (pow.f64 th 5)) th))
(fma.f64 -1/6 (pow.f64 th 3) (fma.f64 1/120 (pow.f64 th 5) th))
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) (+.f64 (*.f64 -1/5040 (pow.f64 th 7)) (+.f64 (*.f64 1/120 (pow.f64 th 5)) th)))
(fma.f64 -1/6 (pow.f64 th 3) (fma.f64 -1/5040 (pow.f64 th 7) (fma.f64 1/120 (pow.f64 th 5) th)))
(fma.f64 -1/6 (pow.f64 th 3) (fma.f64 1/120 (pow.f64 th 5) (fma.f64 -1/5040 (pow.f64 th 7) th)))
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
th
(+.f64 (*.f64 1/2 (pow.f64 th 2)) th)
(fma.f64 1/2 (*.f64 th th) th)
(fma.f64 th (*.f64 th 1/2) th)
(+.f64 (*.f64 1/2 (pow.f64 th 2)) (+.f64 (*.f64 -1/8 (pow.f64 th 4)) th))
(fma.f64 1/2 (*.f64 th th) (fma.f64 -1/8 (pow.f64 th 4) th))
(fma.f64 th (*.f64 th 1/2) (fma.f64 -1/8 (pow.f64 th 4) th))
(*.f64 th (fma.f64 (pow.f64 th 3) -1/8 (fma.f64 th 1/2 1)))
(*.f64 th (fma.f64 th 1/2 (fma.f64 (pow.f64 th 3) -1/8 1)))
(*.f64 th (fma.f64 th (fma.f64 th (*.f64 th -1/8) 1/2) 1))
(+.f64 (*.f64 -1/15 (pow.f64 th 5)) (+.f64 (*.f64 1/2 (pow.f64 th 2)) (+.f64 (*.f64 -1/8 (pow.f64 th 4)) th)))
(fma.f64 -1/15 (pow.f64 th 5) (fma.f64 1/2 (*.f64 th th) (fma.f64 -1/8 (pow.f64 th 4) th)))
(fma.f64 (pow.f64 th 5) -1/15 (fma.f64 1/2 (*.f64 th th) (fma.f64 -1/8 (pow.f64 th 4) th)))
(fma.f64 th (*.f64 th 1/2) (fma.f64 (pow.f64 th 5) -1/15 (fma.f64 -1/8 (pow.f64 th 4) th)))
(fma.f64 th (*.f64 th 1/2) (fma.f64 -1/8 (pow.f64 th 4) (fma.f64 (pow.f64 th 5) -1/15 th)))
(-.f64 (exp.f64 (sin.f64 th)) 1)
(expm1.f64 (sin.f64 th))
(-.f64 (exp.f64 (sin.f64 th)) 1)
(expm1.f64 (sin.f64 th))
(-.f64 (exp.f64 (sin.f64 th)) 1)
(expm1.f64 (sin.f64 th))
(-.f64 (exp.f64 (sin.f64 th)) 1)
(expm1.f64 (sin.f64 th))
(-.f64 (exp.f64 (sin.f64 th)) 1)
(expm1.f64 (sin.f64 th))
(-.f64 (exp.f64 (sin.f64 th)) 1)
(expm1.f64 (sin.f64 th))
(-.f64 (exp.f64 (sin.f64 th)) 1)
(expm1.f64 (sin.f64 th))
(-.f64 (exp.f64 (sin.f64 th)) 1)
(expm1.f64 (sin.f64 th))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 th)
✓0.1b
(/.f64 1 (sin.f64 ky))
✓0.3b
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
✓0.3b
(*.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th))
Compiler

Compiled 31 to 15 computations (51.6% saved)

series5.0ms (0%)

Counts
3 → 52
Calls

15 calls:

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

rewrite56.0ms (0.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0927
117817
2218517
Stop Event
1×node limit
Counts
3 → 60
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
(/.f64 1 (sin.f64 ky))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 th) (sin.f64 ky))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 ky) (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 th) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (/.f64 (sin.f64 ky) (cbrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 th)) (neg.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 th) 1) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (sin.f64 ky)) 2)) (cbrt.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (sin.f64 th)) (neg.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 th) -1) (neg.f64 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (sin.f64 ky))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 th) (sin.f64 ky))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (sin.f64 ky) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (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 1 (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 -.f64 (+.f64 1 (sin.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 th) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 th) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 th)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 th)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 th) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) 3) (pow.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) 3) (pow.f64 (sin.f64 ky) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 th)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 th)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (sin.f64 ky))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sin.f64 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 ky)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (sin.f64 ky))) (cbrt.f64 (pow.f64 (sin.f64 ky) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) -2)) (cbrt.f64 (/.f64 1 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 ky) -1/2) (pow.f64 (sin.f64 ky) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 ky)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) -1) (pow.f64 (sqrt.f64 (sin.f64 ky)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 ky) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sin.f64 ky)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (sin.f64 ky)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 ky))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 ky) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 ky) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (sin.f64 ky)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (sin.f64 ky))))))))

simplify60.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
531×cancel-sign-sub-inv_binary64
471×fma-neg_binary64
468×sub-neg_binary64
424×fma-def_binary64
370×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
073486
1210477
2608468
32269460
47282460
Stop Event
1×node limit
Counts
112 → 88
Calls
Call 1
Inputs
(/.f64 (sin.f64 th) ky)
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (/.f64 (sin.f64 th) ky))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (+.f64 (/.f64 (sin.f64 th) ky) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (sin.f64 th)) (*.f64 1/120 (sin.f64 th))) (pow.f64 ky 3)))))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (+.f64 (/.f64 (sin.f64 th) ky) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (sin.f64 th)) (*.f64 1/120 (sin.f64 th))) (pow.f64 ky 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 -1/36 (sin.f64 th)) (*.f64 1/120 (sin.f64 th)))) (+.f64 (*.f64 -1/5040 (sin.f64 th)) (*.f64 1/720 (sin.f64 th)))) (pow.f64 ky 5))))))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 th (sin.f64 ky))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 ky))) (/.f64 th (sin.f64 ky)))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 th 5) (sin.f64 ky))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 ky))) (/.f64 th (sin.f64 ky))))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 th 5) (sin.f64 ky))) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 th 7) (sin.f64 ky))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 ky))) (/.f64 th (sin.f64 ky)))))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
th
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) (+.f64 (*.f64 1/120 (pow.f64 th 5)) th))
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) (+.f64 (*.f64 -1/5040 (pow.f64 th 7)) (+.f64 (*.f64 1/120 (pow.f64 th 5)) th)))
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(/.f64 1 ky)
(+.f64 (*.f64 1/6 ky) (/.f64 1 ky))
(+.f64 (*.f64 1/6 ky) (+.f64 (*.f64 7/360 (pow.f64 ky 3)) (/.f64 1 ky)))
(+.f64 (*.f64 1/6 ky) (+.f64 (*.f64 31/15120 (pow.f64 ky 5)) (+.f64 (*.f64 7/360 (pow.f64 ky 3)) (/.f64 1 ky))))
Outputs
(/.f64 (sin.f64 th) ky)
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (/.f64 (sin.f64 th) ky))
(fma.f64 1/6 (*.f64 (sin.f64 th) ky) (/.f64 (sin.f64 th) ky))
(fma.f64 (*.f64 (sin.f64 th) 1/6) ky (/.f64 (sin.f64 th) ky))
(fma.f64 (sin.f64 th) (*.f64 ky 1/6) (/.f64 (sin.f64 th) ky))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (+.f64 (/.f64 (sin.f64 th) ky) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (sin.f64 th)) (*.f64 1/120 (sin.f64 th))) (pow.f64 ky 3)))))
(+.f64 (fma.f64 1/6 (*.f64 (sin.f64 th) ky) (/.f64 (sin.f64 th) ky)) (neg.f64 (*.f64 (*.f64 (sin.f64 th) -7/360) (pow.f64 ky 3))))
(-.f64 (fma.f64 (*.f64 (sin.f64 th) 1/6) ky (/.f64 (sin.f64 th) ky)) (*.f64 (*.f64 (sin.f64 th) -7/360) (pow.f64 ky 3)))
(fma.f64 (sin.f64 th) (*.f64 ky 1/6) (fma.f64 (pow.f64 ky 3) (*.f64 (sin.f64 th) 7/360) (/.f64 (sin.f64 th) ky)))
(+.f64 (/.f64 (sin.f64 th) ky) (*.f64 (sin.f64 th) (fma.f64 (pow.f64 ky 3) 7/360 (*.f64 ky 1/6))))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (+.f64 (/.f64 (sin.f64 th) ky) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (sin.f64 th)) (*.f64 1/120 (sin.f64 th))) (pow.f64 ky 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 -1/36 (sin.f64 th)) (*.f64 1/120 (sin.f64 th)))) (+.f64 (*.f64 -1/5040 (sin.f64 th)) (*.f64 1/720 (sin.f64 th)))) (pow.f64 ky 5))))))
(+.f64 (fma.f64 1/6 (*.f64 (sin.f64 th) ky) (/.f64 (sin.f64 th) ky)) (*.f64 -1 (+.f64 (*.f64 (*.f64 (sin.f64 th) -7/360) (pow.f64 ky 3)) (*.f64 (fma.f64 1/6 (*.f64 (sin.f64 th) -7/360) (*.f64 (sin.f64 th) 1/840)) (pow.f64 ky 5)))))
(fma.f64 1/6 (*.f64 (sin.f64 th) ky) (fma.f64 -1 (fma.f64 (*.f64 (sin.f64 th) -7/360) (pow.f64 ky 3) (*.f64 (fma.f64 (sin.f64 th) 1/840 (*.f64 (sin.f64 th) -7/2160)) (pow.f64 ky 5))) (/.f64 (sin.f64 th) ky)))
(-.f64 (fma.f64 (sin.f64 th) (*.f64 ky 1/6) (/.f64 (sin.f64 th) ky)) (fma.f64 (*.f64 (sin.f64 th) -31/15120) (pow.f64 ky 5) (*.f64 (sin.f64 th) (*.f64 (pow.f64 ky 3) -7/360))))
(+.f64 (*.f64 (sin.f64 th) (fma.f64 (pow.f64 ky 3) 7/360 (*.f64 ky 1/6))) (fma.f64 (pow.f64 ky 5) (*.f64 (sin.f64 th) 31/15120) (/.f64 (sin.f64 th) ky)))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 th (sin.f64 ky))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 ky))) (/.f64 th (sin.f64 ky)))
(fma.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 ky)) (/.f64 th (sin.f64 ky)))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 th 5) (sin.f64 ky))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 ky))) (/.f64 th (sin.f64 ky))))
(fma.f64 1/120 (/.f64 (pow.f64 th 5) (sin.f64 ky)) (fma.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 ky)) (/.f64 th (sin.f64 ky))))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 th 5) (sin.f64 ky))) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 th 7) (sin.f64 ky))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 ky))) (/.f64 th (sin.f64 ky)))))
(fma.f64 1/120 (/.f64 (pow.f64 th 5) (sin.f64 ky)) (fma.f64 -1/5040 (/.f64 (pow.f64 th 7) (sin.f64 ky)) (fma.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 ky)) (/.f64 th (sin.f64 ky)))))
(fma.f64 1/120 (/.f64 (pow.f64 th 5) (sin.f64 ky)) (fma.f64 -1/6 (/.f64 (pow.f64 th 3) (sin.f64 ky)) (fma.f64 -1/5040 (/.f64 (pow.f64 th 7) (sin.f64 ky)) (/.f64 th (sin.f64 ky)))))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
th
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(fma.f64 -1/6 (pow.f64 th 3) th)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) (+.f64 (*.f64 1/120 (pow.f64 th 5)) th))
(fma.f64 -1/6 (pow.f64 th 3) (fma.f64 1/120 (pow.f64 th 5) th))
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) (+.f64 (*.f64 -1/5040 (pow.f64 th 7)) (+.f64 (*.f64 1/120 (pow.f64 th 5)) th)))
(fma.f64 -1/6 (pow.f64 th 3) (fma.f64 -1/5040 (pow.f64 th 7) (fma.f64 1/120 (pow.f64 th 5) th)))
(fma.f64 -1/5040 (pow.f64 th 7) (fma.f64 -1/6 (pow.f64 th 3) (fma.f64 1/120 (pow.f64 th 5) th)))
(fma.f64 -1/6 (pow.f64 th 3) (fma.f64 1/120 (pow.f64 th 5) (fma.f64 -1/5040 (pow.f64 th 7) th)))
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(sin.f64 th)
(/.f64 1 ky)
(+.f64 (*.f64 1/6 ky) (/.f64 1 ky))
(fma.f64 1/6 ky (/.f64 1 ky))
(fma.f64 ky 1/6 (/.f64 1 ky))
(+.f64 (*.f64 1/6 ky) (+.f64 (*.f64 7/360 (pow.f64 ky 3)) (/.f64 1 ky)))
(fma.f64 1/6 ky (fma.f64 7/360 (pow.f64 ky 3) (/.f64 1 ky)))
(fma.f64 ky 1/6 (fma.f64 (pow.f64 ky 3) 7/360 (/.f64 1 ky)))
(fma.f64 (pow.f64 ky 3) 7/360 (fma.f64 ky 1/6 (/.f64 1 ky)))
(+.f64 (*.f64 1/6 ky) (+.f64 (*.f64 31/15120 (pow.f64 ky 5)) (+.f64 (*.f64 7/360 (pow.f64 ky 3)) (/.f64 1 ky))))
(fma.f64 1/6 ky (fma.f64 31/15120 (pow.f64 ky 5) (fma.f64 7/360 (pow.f64 ky 3) (/.f64 1 ky))))
(fma.f64 ky 1/6 (fma.f64 (pow.f64 ky 5) 31/15120 (fma.f64 (pow.f64 ky 3) 7/360 (/.f64 1 ky))))
(fma.f64 (pow.f64 ky 5) 31/15120 (fma.f64 (pow.f64 ky 3) 7/360 (fma.f64 ky 1/6 (/.f64 1 ky))))
(fma.f64 ky 1/6 (fma.f64 (pow.f64 ky 3) 7/360 (fma.f64 (pow.f64 ky 5) 31/15120 (/.f64 1 ky))))

localize75.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx)))
✓0.2b
(/.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)))
✓0.3b
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky)
✓0.3b
(*.f64 -1/6 (sin.f64 kx))
Compiler

Compiled 94 to 51 computations (45.7% saved)

series25.0ms (0.1%)

Counts
4 → 32
Calls

21 calls:

TimeVariablePointExpression
5.0ms
kx
@0
(/.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)))
3.0ms
th
@0
(/.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)))
2.0ms
th
@inf
(/.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)))
1.0ms
ky
@inf
(/.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)))
1.0ms
ky
@0
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky)

rewrite116.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
713×fma-def_binary64
335×expm1-udef_binary64
335×log1p-udef_binary64
332×fma-neg_binary64
274×log-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01767
138265
2522259
Stop Event
1×node limit
Counts
4 → 255
Calls
Call 1
Inputs
(*.f64 -1/6 (sin.f64 kx))
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky)
(/.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 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (sin.f64 kx)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (sin.f64 kx)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/6 (sin.f64 kx))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/6 (sin.f64 kx))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/216 (pow.f64 (sin.f64 kx) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 (sin.f64 kx) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) (sin.f64 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/216 (pow.f64 (sin.f64 kx) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (sin.f64 kx))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (sin.f64 kx))) 1))))))
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simplify67.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
773×associate-/l*_binary64
704×fma-def_binary64
691×associate-*l*_binary64
560×associate-/r*_binary64
341×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01701778
15101720
219091624
Stop Event
1×node limit
Counts
287 → 308
Calls
Call 1
Inputs
(*.f64 -1/6 kx)
(+.f64 (*.f64 -1/6 kx) (*.f64 1/36 (pow.f64 kx 3)))
(+.f64 (*.f64 -1/6 kx) (+.f64 (*.f64 1/36 (pow.f64 kx 3)) (*.f64 -1/720 (pow.f64 kx 5))))
(+.f64 (*.f64 -1/6 kx) (+.f64 (*.f64 1/30240 (pow.f64 kx 7)) (+.f64 (*.f64 1/36 (pow.f64 kx 3)) (*.f64 -1/720 (pow.f64 kx 5)))))
(*.f64 1/2 (/.f64 ky kx))
(+.f64 (*.f64 1/4 (*.f64 kx ky)) (*.f64 1/2 (/.f64 ky kx)))
(+.f64 (*.f64 1/4 (*.f64 kx ky)) (+.f64 (*.f64 -13/720 (*.f64 (pow.f64 kx 3) ky)) (*.f64 1/2 (/.f64 ky kx))))
(+.f64 (*.f64 73/30240 (*.f64 (pow.f64 kx 5) ky)) (+.f64 (*.f64 1/4 (*.f64 kx ky)) (+.f64 (*.f64 -13/720 (*.f64 (pow.f64 kx 3) ky)) (*.f64 1/2 (/.f64 ky kx)))))
(/.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 (/.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 -1/6 (/.f64 (pow.f64 th 3) (+.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 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 (*.f64 -1/6 (/.f64 (pow.f64 th 3) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky)))) (*.f64 1/120 (/.f64 (pow.f64 th 5) (+.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 -1/5040 (/.f64 (pow.f64 th 7) (+.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 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 (*.f64 -1/6 (/.f64 (pow.f64 th 3) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky)))) (*.f64 1/120 (/.f64 (pow.f64 th 5) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky)))))))
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
(+.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky)) (*.f64 -4 (/.f64 (*.f64 (+.f64 (*.f64 1/4 ky) (/.f64 1 ky)) (*.f64 (sin.f64 th) (pow.f64 kx 3))) (pow.f64 ky 2))))
(+.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (+.f64 (*.f64 1/4 ky) (/.f64 1 ky)) (*.f64 (sin.f64 th) (pow.f64 kx 3))) (pow.f64 ky 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 4 (/.f64 (*.f64 (sin.f64 th) (-.f64 (*.f64 -13/720 ky) (*.f64 1/6 (/.f64 1 ky)))) (pow.f64 ky 2))) (*.f64 -8 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 1/4 ky) (/.f64 1 ky)) 2) (sin.f64 th)) (pow.f64 ky 3)))) (pow.f64 kx 5)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 4 (/.f64 (*.f64 (+.f64 (*.f64 1/120 (/.f64 1 ky)) (*.f64 73/30240 ky)) (sin.f64 th)) (pow.f64 ky 2))) (+.f64 (*.f64 -8 (/.f64 (*.f64 (+.f64 (*.f64 1/4 ky) (/.f64 1 ky)) (*.f64 (sin.f64 th) (-.f64 (*.f64 -13/720 ky) (*.f64 1/6 (/.f64 1 ky))))) (pow.f64 ky 3))) (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 ky) (/.f64 1 ky)) (+.f64 (*.f64 4 (/.f64 (*.f64 (sin.f64 th) (-.f64 (*.f64 -13/720 ky) (*.f64 1/6 (/.f64 1 ky)))) (pow.f64 ky 2))) (*.f64 -8 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 1/4 ky) (/.f64 1 ky)) 2) (sin.f64 th)) (pow.f64 ky 3))))) ky)))) (pow.f64 kx 7))) (+.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (+.f64 (*.f64 1/4 ky) (/.f64 1 ky)) (*.f64 (sin.f64 th) (pow.f64 kx 3))) (pow.f64 ky 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 4 (/.f64 (*.f64 (sin.f64 th) (-.f64 (*.f64 -13/720 ky) (*.f64 1/6 (/.f64 1 ky)))) (pow.f64 ky 2))) (*.f64 -8 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 1/4 ky) (/.f64 1 ky)) 2) (sin.f64 th)) (pow.f64 ky 3)))) (pow.f64 kx 5))))))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) (*.f64 (sin.f64 th) (pow.f64 ky 3))) (pow.f64 (sin.f64 kx) 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) 2) (*.f64 (sin.f64 th) (pow.f64 ky 5))) (pow.f64 (sin.f64 kx) 3)) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) (*.f64 (sin.f64 th) (pow.f64 ky 3))) (pow.f64 (sin.f64 kx) 2)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) 2) (*.f64 (sin.f64 th) (pow.f64 ky 5))) (pow.f64 (sin.f64 kx) 3)) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) (*.f64 (sin.f64 th) (pow.f64 ky 3))) (pow.f64 (sin.f64 kx) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) 3) (*.f64 (sin.f64 th) (pow.f64 ky 7))) (pow.f64 (sin.f64 kx) 4))))))
(/.f64 (sin.f64 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (*.f64 (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) 2) (pow.f64 ky 3)))) (/.f64 (sin.f64 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (*.f64 (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) 2) (pow.f64 ky 3)))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 kx) 2) (sin.f64 th)) (*.f64 (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) 3) (pow.f64 ky 5))) (/.f64 (sin.f64 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 kx) 3) (sin.f64 th)) (*.f64 (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) 4) (pow.f64 ky 7)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (*.f64 (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) 2) (pow.f64 ky 3)))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 kx) 2) (sin.f64 th)) (*.f64 (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) 3) (pow.f64 ky 5))) (/.f64 (sin.f64 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky)))))
(/.f64 (sin.f64 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (*.f64 (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) 2) (pow.f64 ky 3)))) (/.f64 (sin.f64 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (*.f64 (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) 2) (pow.f64 ky 3)))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 kx) 2) (sin.f64 th)) (*.f64 (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) 3) (pow.f64 ky 5))) (/.f64 (sin.f64 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 kx) 3) (sin.f64 th)) (*.f64 (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) 4) (pow.f64 ky 7)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (*.f64 (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) 2) (pow.f64 ky 3)))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 kx) 2) (sin.f64 th)) (*.f64 (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) 3) (pow.f64 ky 5))) (/.f64 (sin.f64 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky)))))
(/.f64 1/2 kx)
(+.f64 (*.f64 1/4 kx) (*.f64 1/2 (/.f64 1 kx)))
(+.f64 (*.f64 -13/720 (pow.f64 kx 3)) (+.f64 (*.f64 1/4 kx) (*.f64 1/2 (/.f64 1 kx))))
(+.f64 (*.f64 -13/720 (pow.f64 kx 3)) (+.f64 (*.f64 1/4 kx) (+.f64 (*.f64 73/30240 (pow.f64 kx 5)) (*.f64 1/2 (/.f64 1 kx)))))
Outputs
(*.f64 -1/6 kx)
(+.f64 (*.f64 -1/6 kx) (*.f64 1/36 (pow.f64 kx 3)))
(fma.f64 -1/6 kx (*.f64 1/36 (pow.f64 kx 3)))
(fma.f64 1/36 (pow.f64 kx 3) (*.f64 -1/6 kx))
(+.f64 (*.f64 -1/6 kx) (+.f64 (*.f64 1/36 (pow.f64 kx 3)) (*.f64 -1/720 (pow.f64 kx 5))))
(fma.f64 -1/6 kx (fma.f64 1/36 (pow.f64 kx 3) (*.f64 -1/720 (pow.f64 kx 5))))
(fma.f64 1/36 (pow.f64 kx 3) (fma.f64 -1/720 (pow.f64 kx 5) (*.f64 -1/6 kx)))
(+.f64 (*.f64 -1/6 kx) (+.f64 (*.f64 1/30240 (pow.f64 kx 7)) (+.f64 (*.f64 1/36 (pow.f64 kx 3)) (*.f64 -1/720 (pow.f64 kx 5)))))
(fma.f64 -1/6 kx (fma.f64 1/30240 (pow.f64 kx 7) (fma.f64 1/36 (pow.f64 kx 3) (*.f64 -1/720 (pow.f64 kx 5)))))
(fma.f64 -1/6 kx (fma.f64 1/36 (pow.f64 kx 3) (fma.f64 -1/720 (pow.f64 kx 5) (*.f64 1/30240 (pow.f64 kx 7)))))
(*.f64 1/2 (/.f64 ky kx))
(+.f64 (*.f64 1/4 (*.f64 kx ky)) (*.f64 1/2 (/.f64 ky kx)))
(fma.f64 1/4 (*.f64 kx ky) (*.f64 1/2 (/.f64 ky kx)))
(fma.f64 1/2 (/.f64 ky kx) (*.f64 kx (*.f64 ky 1/4)))
(fma.f64 1/2 (/.f64 ky kx) (*.f64 ky (*.f64 kx 1/4)))
(+.f64 (*.f64 1/4 (*.f64 kx ky)) (+.f64 (*.f64 -13/720 (*.f64 (pow.f64 kx 3) ky)) (*.f64 1/2 (/.f64 ky kx))))
(fma.f64 1/4 (*.f64 kx ky) (fma.f64 -13/720 (*.f64 (pow.f64 kx 3) ky) (*.f64 1/2 (/.f64 ky kx))))
(+.f64 (*.f64 1/2 (/.f64 ky kx)) (*.f64 ky (fma.f64 (pow.f64 kx 3) -13/720 (*.f64 kx 1/4))))
(fma.f64 1/2 (/.f64 ky kx) (*.f64 ky (fma.f64 kx 1/4 (*.f64 (pow.f64 kx 3) -13/720))))
(+.f64 (*.f64 73/30240 (*.f64 (pow.f64 kx 5) ky)) (+.f64 (*.f64 1/4 (*.f64 kx ky)) (+.f64 (*.f64 -13/720 (*.f64 (pow.f64 kx 3) ky)) (*.f64 1/2 (/.f64 ky kx)))))
(fma.f64 73/30240 (*.f64 (pow.f64 kx 5) ky) (fma.f64 1/4 (*.f64 kx ky) (fma.f64 -13/720 (*.f64 (pow.f64 kx 3) ky) (*.f64 1/2 (/.f64 ky kx)))))
(+.f64 (fma.f64 -13/720 (*.f64 (pow.f64 kx 3) ky) (*.f64 1/2 (/.f64 ky kx))) (*.f64 ky (fma.f64 kx 1/4 (*.f64 (pow.f64 kx 5) 73/30240))))
(fma.f64 ky (fma.f64 (pow.f64 kx 5) 73/30240 (*.f64 kx 1/4)) (fma.f64 (pow.f64 kx 3) (*.f64 ky -13/720) (*.f64 1/2 (/.f64 ky kx))))
(/.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 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))))))
(/.f64 th (fma.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) (/.f64 (sin.f64 kx) ky)))
(/.f64 th (fma.f64 ky (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) (/.f64 (sin.f64 kx) ky)))
(+.f64 (/.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 -1/6 (/.f64 (pow.f64 th 3) (+.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 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx)))))) (/.f64 (*.f64 -1/6 (pow.f64 th 3)) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx)))))))
(fma.f64 -1/6 (/.f64 (pow.f64 th 3) (fma.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) (/.f64 (sin.f64 kx) ky))) (/.f64 th (fma.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) (/.f64 (sin.f64 kx) ky))))
(fma.f64 -1/6 (/.f64 (pow.f64 th 3) (fma.f64 ky (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) (/.f64 (sin.f64 kx) ky))) (/.f64 th (fma.f64 ky (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) (/.f64 (sin.f64 kx) ky))))
(+.f64 (/.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 (*.f64 -1/6 (/.f64 (pow.f64 th 3) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky)))) (*.f64 1/120 (/.f64 (pow.f64 th 5) (+.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 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx)))))) (fma.f64 -1/6 (/.f64 (pow.f64 th 3) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx)))))) (*.f64 1/120 (/.f64 (pow.f64 th 5) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx)))))))))
(+.f64 (/.f64 th (fma.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) (/.f64 (sin.f64 kx) ky))) (fma.f64 -1/6 (/.f64 (pow.f64 th 3) (fma.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) (/.f64 (sin.f64 kx) ky))) (*.f64 1/120 (/.f64 (pow.f64 th 5) (fma.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) (/.f64 (sin.f64 kx) ky))))))
(fma.f64 -1/6 (/.f64 (pow.f64 th 3) (fma.f64 ky (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) (/.f64 (sin.f64 kx) ky))) (fma.f64 1/120 (/.f64 (pow.f64 th 5) (fma.f64 ky (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) (/.f64 (sin.f64 kx) ky))) (/.f64 th (fma.f64 ky (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) (/.f64 (sin.f64 kx) ky)))))
(+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 th 7) (+.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 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 (*.f64 -1/6 (/.f64 (pow.f64 th 3) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky)))) (*.f64 1/120 (/.f64 (pow.f64 th 5) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky)))))))
(fma.f64 -1/5040 (/.f64 (pow.f64 th 7) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx)))))) (+.f64 (/.f64 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx)))))) (fma.f64 -1/6 (/.f64 (pow.f64 th 3) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx)))))) (*.f64 1/120 (/.f64 (pow.f64 th 5) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))))))))))
(+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 th 3) (fma.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) (/.f64 (sin.f64 kx) ky))) (*.f64 1/120 (/.f64 (pow.f64 th 5) (fma.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) (/.f64 (sin.f64 kx) ky))))) (fma.f64 -1/5040 (/.f64 (pow.f64 th 7) (fma.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) (/.f64 (sin.f64 kx) ky))) (/.f64 th (fma.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) (/.f64 (sin.f64 kx) ky)))))
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(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
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(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (*.f64 (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) 2) (pow.f64 ky 3)))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 kx) 2) (sin.f64 th)) (*.f64 (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) 3) (pow.f64 ky 5))) (/.f64 (sin.f64 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))))
(fma.f64 -1 (/.f64 (sin.f64 kx) (/.f64 (*.f64 (pow.f64 ky 3) (pow.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))) 2)) (sin.f64 th))) (+.f64 (/.f64 (sin.f64 th) (*.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))))) (*.f64 (/.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))) 3)) (/.f64 (sin.f64 th) (pow.f64 ky 5)))))
(-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) 3)) (/.f64 (sin.f64 th) (pow.f64 ky 5)) (/.f64 (/.f64 (sin.f64 th) ky) (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)))) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) 2)) (/.f64 (sin.f64 kx) (pow.f64 ky 3))))
(-.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 ky 5)) (pow.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) 3)) (sin.f64 th) (/.f64 (/.f64 (sin.f64 th) ky) (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))))) (*.f64 (/.f64 (/.f64 (sin.f64 kx) (pow.f64 ky 3)) (pow.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) 2)) (sin.f64 th)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 kx) 3) (sin.f64 th)) (*.f64 (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) 4) (pow.f64 ky 7)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (*.f64 (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) 2) (pow.f64 ky 3)))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 kx) 2) (sin.f64 th)) (*.f64 (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) 3) (pow.f64 ky 5))) (/.f64 (sin.f64 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky)))))
(fma.f64 -1 (*.f64 (/.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))) 4)) (/.f64 (sin.f64 th) (pow.f64 ky 7))) (fma.f64 -1 (/.f64 (sin.f64 kx) (/.f64 (*.f64 (pow.f64 ky 3) (pow.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))) 2)) (sin.f64 th))) (+.f64 (/.f64 (sin.f64 th) (*.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))))) (*.f64 (/.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))) 3)) (/.f64 (sin.f64 th) (pow.f64 ky 5))))))
(-.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) 3)) (/.f64 (sin.f64 th) (pow.f64 ky 5)) (/.f64 (/.f64 (sin.f64 th) ky) (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)))) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) 2)) (/.f64 (sin.f64 kx) (pow.f64 ky 3)))) (*.f64 (/.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) 4)) (/.f64 (sin.f64 th) (pow.f64 ky 7))))
(-.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 ky 5)) (pow.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) 3)) (sin.f64 th) (/.f64 (/.f64 (sin.f64 th) ky) (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))))) (*.f64 (sin.f64 th) (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 ky 7)) (pow.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) 4)) (/.f64 (/.f64 (sin.f64 kx) (pow.f64 ky 3)) (pow.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) 2)))))
(/.f64 (sin.f64 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))
(/.f64 (sin.f64 th) (*.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx)))))
(/.f64 (/.f64 (sin.f64 th) ky) (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)))
(/.f64 (/.f64 (sin.f64 th) ky) (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (*.f64 (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) 2) (pow.f64 ky 3)))) (/.f64 (sin.f64 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky)))
(fma.f64 -1 (/.f64 (sin.f64 kx) (/.f64 (*.f64 (pow.f64 ky 3) (pow.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))) 2)) (sin.f64 th))) (/.f64 (sin.f64 th) (*.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))))))
(-.f64 (/.f64 (/.f64 (sin.f64 th) ky) (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6))) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) 2)) (/.f64 (sin.f64 kx) (pow.f64 ky 3))))
(-.f64 (/.f64 (/.f64 (sin.f64 th) ky) (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx)))) (*.f64 (/.f64 (/.f64 (sin.f64 kx) (pow.f64 ky 3)) (pow.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) 2)) (sin.f64 th)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (*.f64 (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) 2) (pow.f64 ky 3)))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 kx) 2) (sin.f64 th)) (*.f64 (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) 3) (pow.f64 ky 5))) (/.f64 (sin.f64 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))))
(fma.f64 -1 (/.f64 (sin.f64 kx) (/.f64 (*.f64 (pow.f64 ky 3) (pow.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))) 2)) (sin.f64 th))) (+.f64 (/.f64 (sin.f64 th) (*.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))))) (*.f64 (/.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))) 3)) (/.f64 (sin.f64 th) (pow.f64 ky 5)))))
(-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) 3)) (/.f64 (sin.f64 th) (pow.f64 ky 5)) (/.f64 (/.f64 (sin.f64 th) ky) (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)))) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) 2)) (/.f64 (sin.f64 kx) (pow.f64 ky 3))))
(-.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 ky 5)) (pow.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) 3)) (sin.f64 th) (/.f64 (/.f64 (sin.f64 th) ky) (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))))) (*.f64 (/.f64 (/.f64 (sin.f64 kx) (pow.f64 ky 3)) (pow.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) 2)) (sin.f64 th)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 kx) 3) (sin.f64 th)) (*.f64 (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) 4) (pow.f64 ky 7)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (*.f64 (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) 2) (pow.f64 ky 3)))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 kx) 2) (sin.f64 th)) (*.f64 (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) 3) (pow.f64 ky 5))) (/.f64 (sin.f64 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky)))))
(fma.f64 -1 (*.f64 (/.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))) 4)) (/.f64 (sin.f64 th) (pow.f64 ky 7))) (fma.f64 -1 (/.f64 (sin.f64 kx) (/.f64 (*.f64 (pow.f64 ky 3) (pow.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))) 2)) (sin.f64 th))) (+.f64 (/.f64 (sin.f64 th) (*.f64 ky (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))))) (*.f64 (/.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))) 3)) (/.f64 (sin.f64 th) (pow.f64 ky 5))))))
(-.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) 3)) (/.f64 (sin.f64 th) (pow.f64 ky 5)) (/.f64 (/.f64 (sin.f64 th) ky) (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)))) (*.f64 (/.f64 (sin.f64 th) (pow.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) 2)) (/.f64 (sin.f64 kx) (pow.f64 ky 3)))) (*.f64 (/.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) 4)) (/.f64 (sin.f64 th) (pow.f64 ky 7))))
(-.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 ky 5)) (pow.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) 3)) (sin.f64 th) (/.f64 (/.f64 (sin.f64 th) ky) (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))))) (*.f64 (sin.f64 th) (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 ky 7)) (pow.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) 4)) (/.f64 (/.f64 (sin.f64 kx) (pow.f64 ky 3)) (pow.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) 2)))))
(/.f64 1/2 kx)
(+.f64 (*.f64 1/4 kx) (*.f64 1/2 (/.f64 1 kx)))
(fma.f64 1/4 kx (/.f64 1/2 kx))
(fma.f64 kx 1/4 (/.f64 1/2 kx))
(+.f64 (*.f64 -13/720 (pow.f64 kx 3)) (+.f64 (*.f64 1/4 kx) (*.f64 1/2 (/.f64 1 kx))))
(fma.f64 -13/720 (pow.f64 kx 3) (fma.f64 1/4 kx (/.f64 1/2 kx)))
(fma.f64 (pow.f64 kx 3) -13/720 (fma.f64 kx 1/4 (/.f64 1/2 kx)))
(+.f64 (*.f64 -13/720 (pow.f64 kx 3)) (+.f64 (*.f64 1/4 kx) (+.f64 (*.f64 73/30240 (pow.f64 kx 5)) (*.f64 1/2 (/.f64 1 kx)))))
(fma.f64 -13/720 (pow.f64 kx 3) (fma.f64 1/4 kx (fma.f64 73/30240 (pow.f64 kx 5) (/.f64 1/2 kx))))
(fma.f64 (pow.f64 kx 3) -13/720 (fma.f64 kx 1/4 (fma.f64 (pow.f64 kx 5) 73/30240 (/.f64 1/2 kx))))

eval382.0ms (1.2%)

Compiler

Compiled 19086 to 9608 computations (49.7% saved)

prune265.0ms (0.9%)

Pruning

59 alts after pruning (54 fresh and 5 done)

PrunedKeptTotal
New79132823
Fresh182240
Picked101
Done257
Total81259871
Error
0b
Counts
871 → 59
Alt Table
Click to see full alt table
StatusErrorProgram
48.2b
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
44.1b
(/.f64 (sin.f64 th) (fma.f64 1/2 (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) 1))
50.7b
(log1p.f64 (fabs.f64 (expm1.f64 (sin.f64 th))))
▶46.0b
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (/.f64 1/2 kx) ky)))
57.1b
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 th))) 3))
51.0b
(*.f64 (fma.f64 -1/2 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) 2)) 1) (sin.f64 th))
47.9b
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 kx)) ky)))
54.3b
(-.f64 (*.f64 (sin.f64 (+.f64 1 th)) (cos.f64 1)) (*.f64 (cos.f64 (+.f64 1 th)) (sin.f64 1)))
45.2b
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
58.1b
(*.f64 (sin.f64 ky) (*.f64 (+.f64 (*.f64 1/6 ky) (/.f64 1 ky)) (sin.f64 th)))
✓0.2b
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
47.3b
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
31.5b
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
31.4b
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
54.3b
(*.f64 (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th th)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th)))
57.8b
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 ky) (sin.f64 th)))
55.4b
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
53.2b
(/.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)))
55.4b
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 ky)) th))
48.6b
(-.f64 (+.f64 1 (sin.f64 th)) 1)
2.8b
(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))))
14.7b
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (cbrt.f64 (pow.f64 (sin.f64 th) 3))))
49.2b
(/.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 th th)) (cos.f64 (+.f64 th th)))) (sqrt.f64 2))
0.3b
(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 1 (sin.f64 ky))))
0.2b
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 1 (/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))))
57.0b
(exp.f64 (log.f64 (sin.f64 th)))
0.3b
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (log1p.f64 (expm1.f64 (sin.f64 th)))))
47.9b
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
3.1b
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))
✓0.2b
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
55.2b
th
61.6b
(*.f64 2 (*.f64 (/.f64 (sin.f64 th) ky) kx))
48.4b
(fabs.f64 (sin.f64 th))
31.4b
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
46.0b
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) ky)))
45.2b
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
46.9b
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
▶61.3b
(/.f64 (sin.f64 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))
47.9b
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (+.f64 (*.f64 1/4 (*.f64 kx ky)) (*.f64 1/2 (/.f64 ky kx)))))
✓47.9b
(sin.f64 th)
▶0.2b
(/.f64 (sin.f64 th) (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) -1))
0.4b
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 th))))
21.4b
(*.f64 (sin.f64 ky) (-.f64 (+.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1) 1))
45.2b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
47.0b
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
48.6b
(log1p.f64 (expm1.f64 (log.f64 (exp.f64 (sin.f64 th)))))
60.9b
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
46.8b
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
48.6b
(log.f64 (exp.f64 (sin.f64 th)))
57.1b
(log1p.f64 (exp.f64 (log.f64 (expm1.f64 (sin.f64 th)))))
✓47.9b
(log1p.f64 (expm1.f64 (sin.f64 th)))
▶31.0b
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
51.6b
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (+.f64 (*.f64 -13/720 (pow.f64 kx 3)) (+.f64 (*.f64 1/4 kx) (*.f64 1/2 (/.f64 1 kx)))) ky)))
✓0.3b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
54.3b
(/.f64 (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th th)) (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th))
57.8b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
47.1b
(log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 th)) 3)))
▶57.4b
(*.f64 -1/6 (pow.f64 th 3))
45.2b
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
Compiler

Compiled 1534 to 1120 computations (27% saved)

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 49 to 14 computations (71.4% saved)

series28.0ms (0.1%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
5.0ms
ky
@0
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) -1)
2.0ms
kx
@0
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
2.0ms
kx
@0
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) -1)
2.0ms
ky
@inf
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) -1)
2.0ms
ky
@-inf
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) -1)

rewrite123.0ms (0.4%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01250
124944
2318844
Stop Event
1×node limit
Counts
3 → 129
Calls
Call 1
Inputs
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) -1)
(/.f64 (sin.f64 th) (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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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (sin.f64 ky) (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 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))) 1)))) (#(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 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((#(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 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(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))))))

simplify115.0ms (0.4%)

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
232343816
Stop Event
1×node limit
Counts
213 → 185
Calls
Call 1
Inputs
(/.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 (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 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 (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 (pow.f64 (sin.f64 kx) 2) (*.f64 ky (+.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 3)) (/.f64 1/6 (sin.f64 kx))))))
(fma.f64 (pow.f64 (sin.f64 kx) 2) (*.f64 ky (+.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 3)) (/.f64 1/6 (sin.f64 kx)))) (/.f64 (sin.f64 kx) ky))
(+.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) (fma.f64 (pow.f64 (sin.f64 kx) 2) (*.f64 ky (+.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 3)) (/.f64 1/6 (sin.f64 kx)))) (neg.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 kx) 2) (-.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))))) (neg.f64 (*.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 (+.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 3)) (/.f64 1/6 (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 (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 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 (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 (pow.f64 ky 3) (+.f64 (*.f64 -1/6 (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 -1/2 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3))))))))
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(+.f64 (fma.f64 (pow.f64 ky 5) (+.f64 (fma.f64 1/120 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.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 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))))) (fma.f64 (pow.f64 ky 3) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (/.f64 ky (/.f64 (sin.f64 kx) (sin.f64 th))))) (*.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 (*.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 1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))))) (pow.f64 (sin.f64 kx) 2)))) (fma.f64 1/2 (/.f64 (+.f64 2/45 (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (pow.f64 (sin.f64 kx) 3) (sin.f64 th))) (*.f64 -1/2 (/.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (-.f64 -1/6 (/.f64 1/2 (pow.f64 (sin.f64 kx) 2)))) (/.f64 (pow.f64 (sin.f64 kx) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2))))))) (pow.f64 ky 7)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 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 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 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 th) (sin.f64 ky)))
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(sin.f64 th)
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(fma.f64 -1/2 (/.f64 (*.f64 kx (*.f64 kx (sin.f64 th))) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th))
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(fma.f64 -1 (*.f64 (pow.f64 kx 4) (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))))))) (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 kx kx))) (sin.f64 th)))
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(fma.f64 -1 (*.f64 (pow.f64 kx 4) (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))))))) (+.f64 (fma.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (*.f64 kx kx))) (sin.f64 th)) (neg.f64 (*.f64 (pow.f64 kx 6) (fma.f64 -1/2 (/.f64 (fma.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)) (*.f64 -1/2 (/.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) 2) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)))))) (pow.f64 (sin.f64 ky) 2)) (fma.f64 1/2 (/.f64 (*.f64 (+.f64 2/45 (*.f64 1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)) (pow.f64 (sin.f64 ky) 2)) (*.f64 1/4 (/.f64 (*.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (sin.f64 th)) (pow.f64 (sin.f64 ky) 4)))))))))
(-.f64 (-.f64 (fma.f64 -1/2 (/.f64 (*.f64 kx (*.f64 kx (sin.f64 th))) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th)) (*.f64 (pow.f64 kx 6) (fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (*.f64 -1/4 (/.f64 (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)))))))) (*.f64 (pow.f64 kx 4) (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4))))))
(-.f64 (-.f64 (fma.f64 -1/2 (/.f64 (*.f64 kx (*.f64 kx (sin.f64 th))) (pow.f64 (sin.f64 ky) 2)) (sin.f64 th)) (*.f64 (pow.f64 kx 4) (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (*.f64 -1/4 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 4)))))) (*.f64 (pow.f64 kx 6) (fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) 2)) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (*.f64 -1/4 (/.f64 (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))))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 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 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)))
(/.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 (+.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 3)) (/.f64 1/6 (sin.f64 kx))) (pow.f64 ky 3)) (/.f64 ky (sin.f64 kx)))
(fma.f64 (neg.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 (+.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 3)) (/.f64 1/6 (sin.f64 kx))) (pow.f64 ky 3)))
(+.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 (+.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 3)) (/.f64 1/6 (sin.f64 kx))) (pow.f64 ky 3)) (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 (+.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 (/.f64 1/2 (pow.f64 (sin.f64 kx) 3)) (/.f64 1/6 (sin.f64 kx))) (pow.f64 ky 3)))
(+.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 (+.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 3)) (/.f64 1/6 (sin.f64 kx))) (pow.f64 ky 3)) (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 (+.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 (/.f64 1/2 (pow.f64 (sin.f64 kx) 3)) (/.f64 1/6 (sin.f64 kx))) (pow.f64 ky 3))) (*.f64 (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 (/.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 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)))) (pow.f64 ky 7)))
(-.f64 (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 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 (/.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 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)))) (pow.f64 ky 7)) (*.f64 (+.f64 (/.f64 1/2 (pow.f64 (sin.f64 kx) 3)) (/.f64 1/6 (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)))) (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 (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 (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 (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 (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 (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 (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 (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)))))
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 (*.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 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 (*.f64 1/2 (+.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))))))
(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) (*.f64 (neg.f64 (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)))))) (pow.f64 kx 6))))
(fma.f64 -1/2 (/.f64 kx (/.f64 (pow.f64 (sin.f64 ky) 2) kx)) (-.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 (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))))) (pow.f64 kx 6))))
(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 (*.f64 1/2 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2))) (pow.f64 (sin.f64 ky) 2))) (fma.f64 (+.f64 (*.f64 -1/2 (+.f64 (-.f64 (/.f64 1/4 (pow.f64 (pow.f64 (sin.f64 ky) 2) 3)) (/.f64 (+.f64 -1/6 (*.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) -1/2)) (pow.f64 (sin.f64 ky) 4))) (-.f64 (/.f64 2/45 (pow.f64 (sin.f64 ky) 2)) (/.f64 (+.f64 -1/6 (*.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) -1/2)) (pow.f64 (sin.f64 ky) 4))))) (*.f64 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2)) (pow.f64 (sin.f64 ky) 4)) -1/4)) (pow.f64 kx 6) 1)))
(*.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 (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 (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 (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 (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 (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 (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 (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)))))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 11 computations (21.4% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (/.f64 1/2 kx) ky))
✓0.1b
(/.f64 (sin.f64 kx) ky)
✓0.2b
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (/.f64 1/2 kx) ky)))
✓0.2b
(*.f64 (/.f64 1/2 kx) ky)
Compiler

Compiled 46 to 21 computations (54.3% saved)

series21.0ms (0.1%)

Counts
4 → 88
Calls

27 calls:

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

rewrite123.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
705×log-prod_binary64
367×pow2_binary64
351×fma-def_binary64
254×pow1/3_binary64
252×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01248
126844
2386544
Stop Event
1×node limit
Counts
4 → 183
Calls
Call 1
Inputs
(*.f64 (/.f64 1/2 kx) ky)
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (/.f64 1/2 kx) ky)))
(/.f64 (sin.f64 kx) ky)
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (/.f64 1/2 kx) ky))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1/2 kx) ky))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 ky) (/.f64 1/2 kx))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 ky) (/.f64 1/2 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 ky) (/.f64 1/2 kx)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 ky) (/.f64 1/2 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/2 kx) ky))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 kx ky))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 ky (*.f64 kx 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 kx (*.f64 1/2 ky)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 ky) kx)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 ky)) (neg.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 ky) 1) kx)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 ky) (pow.f64 (cbrt.f64 kx) 2)) (cbrt.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 ky) (sqrt.f64 kx)) (sqrt.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 ky) (neg.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 ky -1/2) (neg.f64 kx))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/2 kx) ky) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 kx) ky)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 1/2 kx) ky)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 1/2 kx) ky) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 kx (*.f64 1/2 ky)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 1/2 kx) ky) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 ky) (/.f64 1/2 kx)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/2 kx) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 1/2 kx) ky) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 1/2 kx) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 1/2 kx) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 1/2 kx) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/2 kx) ky)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 th) (/.f64 1 (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) (*.f64 (cbrt.f64 (sin.f64 th)) (/.f64 1 (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky)))) 2) (cbrt.f64 (/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 th)) (*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 1 (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky)))) (sqrt.f64 (/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 th)) (/.f64 1 (neg.f64 (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))) (sin.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 th)) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 th)) 1) (/.f64 (sqrt.f64 (sin.f64 th)) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))) 2)) (/.f64 (sin.f64 th) (cbrt.f64 (fma.f64 1/2 (/.f64 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1/2 kx) ky))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 ky) (/.f64 1 kx) (/.f64 (sin.f64 kx) ky))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 kx) 2)) (/.f64 ky (cbrt.f64 kx)) (/.f64 (sin.f64 kx) ky))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (sqrt.f64 kx)) (/.f64 ky (sqrt.f64 kx)) (/.f64 (sin.f64 kx) ky))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 kx)) ky) (*.f64 (/.f64 1/2 kx) ky))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) 1) (/.f64 (sqrt.f64 (sin.f64 kx)) ky) (*.f64 (/.f64 1/2 kx) ky))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 ky) 2)) (/.f64 (sin.f64 kx) (cbrt.f64 ky)) (*.f64 (/.f64 1/2 kx) ky))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (pow.f64 (cbrt.f64 ky) 2)) (cbrt.f64 (/.f64 (sin.f64 kx) ky)) (*.f64 (/.f64 1/2 kx) ky))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (sin.f64 kx)) (pow.f64 (cbrt.f64 ky) 2)) (/.f64 (sqrt.f64 (sin.f64 kx)) (cbrt.f64 ky)) (*.f64 (/.f64 1/2 kx) ky))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 ky)) (/.f64 (sin.f64 kx) (sqrt.f64 ky)) (*.f64 (/.f64 1/2 kx) ky))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) 2) (sqrt.f64 ky)) (/.f64 (cbrt.f64 (sin.f64 kx)) (sqrt.f64 ky)) (*.f64 (/.f64 1/2 kx) ky))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 kx) (pow.f64 (cbrt.f64 ky) 2)) (cbrt.f64 ky) (/.f64 (sin.f64 kx) ky))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 kx) (sqrt.f64 ky)) (sqrt.f64 ky) (/.f64 (sin.f64 kx) ky))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 ky (pow.f64 (cbrt.f64 (/.f64 1/2 kx)) 2)) (cbrt.f64 (/.f64 1/2 kx)) (/.f64 (sin.f64 kx) ky))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 ky (sqrt.f64 (/.f64 1/2 kx))) (sqrt.f64 (/.f64 1/2 kx)) (/.f64 (sin.f64 kx) ky))))))

simplify130.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
757×associate-/l*_binary64
622×associate-/r*_binary64
552×associate-*r*_binary64
510×fma-neg_binary64
441×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01372168
14052083
215262072
376122072
Stop Event
1×node limit
Counts
271 → 232
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 ky kx))
(*.f64 1/2 (/.f64 ky kx))
(*.f64 1/2 (/.f64 ky kx))
(*.f64 1/2 (/.f64 ky kx))
(*.f64 1/2 (/.f64 ky kx))
(*.f64 1/2 (/.f64 ky kx))
(*.f64 1/2 (/.f64 ky kx))
(*.f64 1/2 (/.f64 ky kx))
(*.f64 1/2 (/.f64 ky kx))
(*.f64 1/2 (/.f64 ky kx))
(*.f64 1/2 (/.f64 ky kx))
(*.f64 1/2 (/.f64 ky kx))
(*.f64 1/2 (/.f64 ky kx))
(*.f64 1/2 (/.f64 ky kx))
(*.f64 1/2 (/.f64 ky kx))
(*.f64 1/2 (/.f64 ky kx))
(*.f64 1/2 (/.f64 ky kx))
(*.f64 1/2 (/.f64 ky kx))
(*.f64 1/2 (/.f64 ky kx))
(*.f64 1/2 (/.f64 ky kx))
(*.f64 1/2 (/.f64 ky kx))
(*.f64 1/2 (/.f64 ky kx))
(*.f64 1/2 (/.f64 ky kx))
(*.f64 1/2 (/.f64 ky kx))
(/.f64 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))
(+.f64 (/.f64 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))) (*.f64 -1/6 (/.f64 (pow.f64 th 3) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 th 5) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))) (+.f64 (/.f64 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))) (*.f64 -1/6 (/.f64 (pow.f64 th 3) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))))))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 th 5) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))) (+.f64 (/.f64 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 th 7) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))) (*.f64 -1/6 (/.f64 (pow.f64 th 3) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))))))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
(+.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky)) (*.f64 -4 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 3)) (pow.f64 ky 3))))
(+.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 kx 5) (+.f64 (*.f64 -8 (/.f64 (sin.f64 th) (pow.f64 ky 5))) (*.f64 -2/3 (/.f64 (sin.f64 th) (pow.f64 ky 3)))))) (*.f64 -4 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 3)) (pow.f64 ky 3)))))
(+.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 4/3 (/.f64 (sin.f64 th) (pow.f64 ky 5))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -8 (/.f64 (sin.f64 th) (pow.f64 ky 5))) (*.f64 -2/3 (/.f64 (sin.f64 th) (pow.f64 ky 3)))) (pow.f64 ky 2))) (*.f64 1/30 (/.f64 (sin.f64 th) (pow.f64 ky 3))))) (pow.f64 kx 7))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 kx 5) (+.f64 (*.f64 -8 (/.f64 (sin.f64 th) (pow.f64 ky 5))) (*.f64 -2/3 (/.f64 (sin.f64 th) (pow.f64 ky 3)))))) (*.f64 -4 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 3)) (pow.f64 ky 3))))))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) (*.f64 (pow.f64 (sin.f64 kx) 2) kx))) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) (*.f64 (pow.f64 (sin.f64 kx) 2) kx))) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (*.f64 1/4 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 5)) (*.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 kx 2))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) (*.f64 (pow.f64 (sin.f64 kx) 2) kx))) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 5)) (*.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 kx 2)))) (*.f64 -1/8 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 7)) (*.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 kx 3)))))))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) (*.f64 (pow.f64 (sin.f64 kx) 2) kx))) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) (*.f64 (pow.f64 (sin.f64 kx) 2) kx))) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (*.f64 1/4 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 5)) (*.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 kx 2))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) (*.f64 (pow.f64 (sin.f64 kx) 2) kx))) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 5)) (*.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 kx 2)))) (*.f64 -1/8 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 7)) (*.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 kx 3)))))))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) (*.f64 (pow.f64 (sin.f64 kx) 2) kx))) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) (*.f64 (pow.f64 (sin.f64 kx) 2) kx))) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (*.f64 1/4 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 5)) (*.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 kx 2))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) (*.f64 (pow.f64 (sin.f64 kx) 2) kx))) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 5)) (*.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 kx 2)))) (*.f64 -1/8 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 7)) (*.f64 (pow.f64 (sin.f64 kx) 4) (pow.f64 kx 3)))))))
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
(+.f64 (*.f64 -4 (/.f64 (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (pow.f64 kx 2))) (pow.f64 ky 3))) (*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky)))
(+.f64 (*.f64 -4 (/.f64 (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (pow.f64 kx 2))) (pow.f64 ky 3))) (+.f64 (*.f64 8 (/.f64 (*.f64 (pow.f64 (sin.f64 kx) 2) (*.f64 (sin.f64 th) (pow.f64 kx 3))) (pow.f64 ky 5))) (*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))))
(+.f64 (*.f64 -4 (/.f64 (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (pow.f64 kx 2))) (pow.f64 ky 3))) (+.f64 (*.f64 8 (/.f64 (*.f64 (pow.f64 (sin.f64 kx) 2) (*.f64 (sin.f64 th) (pow.f64 kx 3))) (pow.f64 ky 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky)) (*.f64 -16 (/.f64 (*.f64 (pow.f64 (sin.f64 kx) 3) (*.f64 (sin.f64 th) (pow.f64 kx 4))) (pow.f64 ky 7))))))
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
(+.f64 (*.f64 -4 (/.f64 (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (pow.f64 kx 2))) (pow.f64 ky 3))) (*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky)))
(+.f64 (*.f64 -4 (/.f64 (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (pow.f64 kx 2))) (pow.f64 ky 3))) (+.f64 (*.f64 8 (/.f64 (*.f64 (pow.f64 (sin.f64 kx) 2) (*.f64 (sin.f64 th) (pow.f64 kx 3))) (pow.f64 ky 5))) (*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))))
(+.f64 (*.f64 -4 (/.f64 (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (pow.f64 kx 2))) (pow.f64 ky 3))) (+.f64 (*.f64 8 (/.f64 (*.f64 (pow.f64 (sin.f64 kx) 2) (*.f64 (sin.f64 th) (pow.f64 kx 3))) (pow.f64 ky 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky)) (*.f64 -16 (/.f64 (*.f64 (pow.f64 (sin.f64 kx) 3) (*.f64 (sin.f64 th) (pow.f64 kx 4))) (pow.f64 ky 7))))))
(/.f64 kx ky)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 kx 3) ky)) (/.f64 kx ky))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 kx 5) ky)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 kx 3) ky)) (/.f64 kx ky)))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 kx 5) ky)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 kx 3) ky)) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 kx 7) ky)) (/.f64 kx ky))))
(*.f64 1/2 (/.f64 ky kx))
(+.f64 (/.f64 kx ky) (*.f64 1/2 (/.f64 ky kx)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 kx 3) ky)) (+.f64 (/.f64 kx ky) (*.f64 1/2 (/.f64 ky kx))))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 kx 5) ky)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 kx 3) ky)) (+.f64 (/.f64 kx ky) (*.f64 1/2 (/.f64 ky kx)))))
(/.f64 (sin.f64 kx) ky)
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))
(/.f64 (sin.f64 kx) ky)
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))
(/.f64 (sin.f64 kx) ky)
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))
(*.f64 1/2 (/.f64 ky kx))
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))
(*.f64 1/2 (/.f64 ky kx))
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))
Outputs
(*.f64 1/2 (/.f64 ky kx))
(/.f64 (*.f64 1/2 ky) kx)
(/.f64 ky (/.f64 kx 1/2))
(*.f64 1/2 (/.f64 ky kx))
(/.f64 (*.f64 1/2 ky) kx)
(/.f64 ky (/.f64 kx 1/2))
(*.f64 1/2 (/.f64 ky kx))
(/.f64 (*.f64 1/2 ky) kx)
(/.f64 ky (/.f64 kx 1/2))
(*.f64 1/2 (/.f64 ky kx))
(/.f64 (*.f64 1/2 ky) kx)
(/.f64 ky (/.f64 kx 1/2))
(*.f64 1/2 (/.f64 ky kx))
(/.f64 (*.f64 1/2 ky) kx)
(/.f64 ky (/.f64 kx 1/2))
(*.f64 1/2 (/.f64 ky kx))
(/.f64 (*.f64 1/2 ky) kx)
(/.f64 ky (/.f64 kx 1/2))
(*.f64 1/2 (/.f64 ky kx))
(/.f64 (*.f64 1/2 ky) kx)
(/.f64 ky (/.f64 kx 1/2))
(*.f64 1/2 (/.f64 ky kx))
(/.f64 (*.f64 1/2 ky) kx)
(/.f64 ky (/.f64 kx 1/2))
(*.f64 1/2 (/.f64 ky kx))
(/.f64 (*.f64 1/2 ky) kx)
(/.f64 ky (/.f64 kx 1/2))
(*.f64 1/2 (/.f64 ky kx))
(/.f64 (*.f64 1/2 ky) kx)
(/.f64 ky (/.f64 kx 1/2))
(*.f64 1/2 (/.f64 ky kx))
(/.f64 (*.f64 1/2 ky) kx)
(/.f64 ky (/.f64 kx 1/2))
(*.f64 1/2 (/.f64 ky kx))
(/.f64 (*.f64 1/2 ky) kx)
(/.f64 ky (/.f64 kx 1/2))
(*.f64 1/2 (/.f64 ky kx))
(/.f64 (*.f64 1/2 ky) kx)
(/.f64 ky (/.f64 kx 1/2))
(*.f64 1/2 (/.f64 ky kx))
(/.f64 (*.f64 1/2 ky) kx)
(/.f64 ky (/.f64 kx 1/2))
(*.f64 1/2 (/.f64 ky kx))
(/.f64 (*.f64 1/2 ky) kx)
(/.f64 ky (/.f64 kx 1/2))
(*.f64 1/2 (/.f64 ky kx))
(/.f64 (*.f64 1/2 ky) kx)
(/.f64 ky (/.f64 kx 1/2))
(*.f64 1/2 (/.f64 ky kx))
(/.f64 (*.f64 1/2 ky) kx)
(/.f64 ky (/.f64 kx 1/2))
(*.f64 1/2 (/.f64 ky kx))
(/.f64 (*.f64 1/2 ky) kx)
(/.f64 ky (/.f64 kx 1/2))
(*.f64 1/2 (/.f64 ky kx))
(/.f64 (*.f64 1/2 ky) kx)
(/.f64 ky (/.f64 kx 1/2))
(*.f64 1/2 (/.f64 ky kx))
(/.f64 (*.f64 1/2 ky) kx)
(/.f64 ky (/.f64 kx 1/2))
(*.f64 1/2 (/.f64 ky kx))
(/.f64 (*.f64 1/2 ky) kx)
(/.f64 ky (/.f64 kx 1/2))
(*.f64 1/2 (/.f64 ky kx))
(/.f64 (*.f64 1/2 ky) kx)
(/.f64 ky (/.f64 kx 1/2))
(*.f64 1/2 (/.f64 ky kx))
(/.f64 (*.f64 1/2 ky) kx)
(/.f64 ky (/.f64 kx 1/2))
(*.f64 1/2 (/.f64 ky kx))
(/.f64 (*.f64 1/2 ky) kx)
(/.f64 ky (/.f64 kx 1/2))
(/.f64 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))
(/.f64 th (+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky)))
(/.f64 th (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky)))
(+.f64 (/.f64 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))) (*.f64 -1/6 (/.f64 (pow.f64 th 3) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))))
(+.f64 (/.f64 th (+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky))) (*.f64 -1/6 (/.f64 (pow.f64 th 3) (+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky)))))
(fma.f64 -1/6 (/.f64 (pow.f64 th 3) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))) (/.f64 th (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 th 5) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))) (+.f64 (/.f64 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))) (*.f64 -1/6 (/.f64 (pow.f64 th 3) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))))))
(fma.f64 1/120 (/.f64 (pow.f64 th 5) (+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky))) (+.f64 (/.f64 th (+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky))) (*.f64 -1/6 (/.f64 (pow.f64 th 3) (+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky))))))
(fma.f64 1/120 (/.f64 (pow.f64 th 5) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))) (fma.f64 -1/6 (/.f64 (pow.f64 th 3) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))) (/.f64 th (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky)))))
(fma.f64 -1/6 (/.f64 (pow.f64 th 3) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))) (fma.f64 1/120 (/.f64 (pow.f64 th 5) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))) (/.f64 th (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky)))))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 th 5) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))) (+.f64 (/.f64 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 th 7) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))) (*.f64 -1/6 (/.f64 (pow.f64 th 3) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))))))
(fma.f64 1/120 (/.f64 (pow.f64 th 5) (+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky))) (+.f64 (/.f64 th (+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky))) (fma.f64 -1/5040 (/.f64 (pow.f64 th 7) (+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky))) (*.f64 -1/6 (/.f64 (pow.f64 th 3) (+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky)))))))
(+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 th 3) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))) (/.f64 -1/5040 (/.f64 (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky)) (pow.f64 th 7)))) (fma.f64 1/120 (/.f64 (pow.f64 th 5) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))) (/.f64 th (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky)))))
(fma.f64 1/120 (/.f64 (pow.f64 th 5) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))) (fma.f64 -1/6 (/.f64 (pow.f64 th 3) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))) (fma.f64 -1/5040 (/.f64 (pow.f64 th 7) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))) (/.f64 th (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))))))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))
(/.f64 (sin.f64 th) (+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))
(/.f64 (sin.f64 th) (+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))
(/.f64 (sin.f64 th) (+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))
(/.f64 (sin.f64 th) (+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))
(/.f64 (sin.f64 th) (+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))
(/.f64 (sin.f64 th) (+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))
(/.f64 (sin.f64 th) (+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))
(/.f64 (sin.f64 th) (+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky)))
(/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky)))
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
(*.f64 2 (/.f64 (sin.f64 th) (/.f64 ky kx)))
(*.f64 2 (/.f64 kx (/.f64 ky (sin.f64 th))))
(*.f64 2 (*.f64 (/.f64 kx ky) (sin.f64 th)))
(+.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky)) (*.f64 -4 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 3)) (pow.f64 ky 3))))
(fma.f64 2 (/.f64 (sin.f64 th) (/.f64 ky kx)) (*.f64 -4 (/.f64 (sin.f64 th) (/.f64 (pow.f64 ky 3) (pow.f64 kx 3)))))
(fma.f64 2 (/.f64 kx (/.f64 ky (sin.f64 th))) (/.f64 (*.f64 (*.f64 -4 (sin.f64 th)) (pow.f64 kx 3)) (pow.f64 ky 3)))
(fma.f64 2 (*.f64 (/.f64 kx ky) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 ky 3)) (*.f64 -4 (pow.f64 kx 3))))
(+.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 kx 5) (+.f64 (*.f64 -8 (/.f64 (sin.f64 th) (pow.f64 ky 5))) (*.f64 -2/3 (/.f64 (sin.f64 th) (pow.f64 ky 3)))))) (*.f64 -4 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 3)) (pow.f64 ky 3)))))
(fma.f64 2 (/.f64 (sin.f64 th) (/.f64 ky kx)) (fma.f64 -1 (*.f64 (pow.f64 kx 5) (fma.f64 -8 (/.f64 (sin.f64 th) (pow.f64 ky 5)) (*.f64 -2/3 (/.f64 (sin.f64 th) (pow.f64 ky 3))))) (*.f64 -4 (/.f64 (sin.f64 th) (/.f64 (pow.f64 ky 3) (pow.f64 kx 3))))))
(fma.f64 2 (/.f64 kx (/.f64 ky (sin.f64 th))) (-.f64 (/.f64 (*.f64 (*.f64 -4 (sin.f64 th)) (pow.f64 kx 3)) (pow.f64 ky 3)) (*.f64 (pow.f64 kx 5) (fma.f64 -8 (/.f64 (sin.f64 th) (pow.f64 ky 5)) (/.f64 -2/3 (/.f64 (pow.f64 ky 3) (sin.f64 th)))))))
(fma.f64 (fma.f64 -8 (/.f64 (sin.f64 th) (pow.f64 ky 5)) (*.f64 -2/3 (/.f64 (sin.f64 th) (pow.f64 ky 3)))) (neg.f64 (pow.f64 kx 5)) (fma.f64 2 (*.f64 (/.f64 kx ky) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 ky 3)) (*.f64 -4 (pow.f64 kx 3)))))
(+.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 4/3 (/.f64 (sin.f64 th) (pow.f64 ky 5))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -8 (/.f64 (sin.f64 th) (pow.f64 ky 5))) (*.f64 -2/3 (/.f64 (sin.f64 th) (pow.f64 ky 3)))) (pow.f64 ky 2))) (*.f64 1/30 (/.f64 (sin.f64 th) (pow.f64 ky 3))))) (pow.f64 kx 7))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 kx 5) (+.f64 (*.f64 -8 (/.f64 (sin.f64 th) (pow.f64 ky 5))) (*.f64 -2/3 (/.f64 (sin.f64 th) (pow.f64 ky 3)))))) (*.f64 -4 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 3)) (pow.f64 ky 3))))))
(fma.f64 2 (/.f64 (sin.f64 th) (/.f64 ky kx)) (fma.f64 -1 (*.f64 (fma.f64 4/3 (/.f64 (sin.f64 th) (pow.f64 ky 5)) (fma.f64 -2 (/.f64 (fma.f64 -8 (/.f64 (sin.f64 th) (pow.f64 ky 5)) (*.f64 -2/3 (/.f64 (sin.f64 th) (pow.f64 ky 3)))) (*.f64 ky ky)) (*.f64 (/.f64 (sin.f64 th) (pow.f64 ky 3)) 1/30))) (pow.f64 kx 7)) (fma.f64 -1 (*.f64 (pow.f64 kx 5) (fma.f64 -8 (/.f64 (sin.f64 th) (pow.f64 ky 5)) (*.f64 -2/3 (/.f64 (sin.f64 th) (pow.f64 ky 3))))) (*.f64 -4 (/.f64 (sin.f64 th) (/.f64 (pow.f64 ky 3) (pow.f64 kx 3)))))))
(fma.f64 2 (/.f64 kx (/.f64 ky (sin.f64 th))) (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 -4 (sin.f64 th)) (pow.f64 kx 3)) (pow.f64 ky 3)) (*.f64 (pow.f64 kx 5) (fma.f64 -8 (/.f64 (sin.f64 th) (pow.f64 ky 5)) (/.f64 -2/3 (/.f64 (pow.f64 ky 3) (sin.f64 th)))))) (*.f64 (fma.f64 (/.f64 (sin.f64 th) (pow.f64 ky 5)) 4/3 (fma.f64 (/.f64 (sin.f64 th) (pow.f64 ky 3)) 1/30 (/.f64 (*.f64 (fma.f64 -8 (/.f64 (sin.f64 th) (pow.f64 ky 5)) (/.f64 -2/3 (/.f64 (pow.f64 ky 3) (sin.f64 th)))) -2) (*.f64 ky ky)))) (pow.f64 kx 7))))
(fma.f64 2 (*.f64 (/.f64 kx ky) (sin.f64 th)) (-.f64 (*.f64 (/.f64 (sin.f64 th) (pow.f64 ky 3)) (*.f64 -4 (pow.f64 kx 3))) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (pow.f64 ky 3)) 1/30 (fma.f64 (/.f64 (sin.f64 th) (pow.f64 ky 5)) 4/3 (/.f64 (+.f64 (*.f64 (/.f64 (sin.f64 th) (pow.f64 ky 5)) 16) (*.f64 (/.f64 (sin.f64 th) (pow.f64 ky 3)) 4/3)) (*.f64 ky ky)))) (pow.f64 kx 7) (*.f64 (pow.f64 kx 5) (fma.f64 -8 (/.f64 (sin.f64 th) (pow.f64 ky 5)) (*.f64 -2/3 (/.f64 (sin.f64 th) (pow.f64 ky 3))))))))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) (*.f64 (pow.f64 (sin.f64 kx) 2) kx))) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)))
(fma.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) (*.f64 kx (pow.f64 (sin.f64 kx) 2))) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)))
(fma.f64 -1/2 (/.f64 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) kx) (pow.f64 (sin.f64 kx) 2)) (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)))
(fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 2)) (/.f64 (pow.f64 ky 3) kx)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) (*.f64 (pow.f64 (sin.f64 kx) 2) kx))) (+.f64 (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (*.f64 1/4 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 5)) (*.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 kx 2))))))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) (*.f64 kx (pow.f64 (sin.f64 kx) 2))) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))) (*.f64 1/4 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (/.f64 (pow.f64 ky 5) (*.f64 kx kx)))))
(fma.f64 -1/2 (/.f64 (/.f64 (*.f64 (sin.f64 th) (pow.f64 ky 3)) kx) (pow.f64 (sin.f64 kx) 2)) (fma.f64 1/4 (*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) 3)) (/.f64 (pow.f64 ky 5) (*.f64 kx kx))) (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))))
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(fma.f64 -4 (/.f64 (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (*.f64 kx kx)) (pow.f64 ky 3)) (fma.f64 8 (/.f64 (*.f64 (*.f64 (sin.f64 th) (pow.f64 kx 3)) (pow.f64 (sin.f64 kx) 2)) (pow.f64 ky 5)) (fma.f64 2 (/.f64 (sin.f64 th) (/.f64 ky kx)) (*.f64 -16 (/.f64 (*.f64 (pow.f64 (sin.f64 kx) 3) (*.f64 (sin.f64 th) (pow.f64 kx 4))) (pow.f64 ky 7))))))
(fma.f64 -4 (*.f64 (/.f64 (sin.f64 kx) (pow.f64 ky 3)) (*.f64 kx (*.f64 kx (sin.f64 th)))) (fma.f64 8 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 3)) (/.f64 (pow.f64 ky 5) (pow.f64 (sin.f64 kx) 2))) (fma.f64 -16 (/.f64 (pow.f64 (sin.f64 kx) 3) (/.f64 (/.f64 (pow.f64 ky 7) (sin.f64 th)) (pow.f64 kx 4))) (*.f64 2 (/.f64 kx (/.f64 ky (sin.f64 th)))))))
(fma.f64 -4 (*.f64 (/.f64 (sin.f64 kx) (/.f64 (pow.f64 ky 3) (*.f64 kx kx))) (sin.f64 th)) (fma.f64 2 (*.f64 (/.f64 kx ky) (sin.f64 th)) (fma.f64 8 (*.f64 (*.f64 (sin.f64 th) (pow.f64 kx 3)) (/.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 ky 5))) (*.f64 (/.f64 (pow.f64 (sin.f64 kx) 3) (pow.f64 ky 7)) (*.f64 -16 (*.f64 (sin.f64 th) (pow.f64 kx 4)))))))
(/.f64 kx ky)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 kx 3) ky)) (/.f64 kx ky))
(fma.f64 -1/6 (/.f64 (pow.f64 kx 3) ky) (/.f64 kx ky))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 kx 5) ky)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 kx 3) ky)) (/.f64 kx ky)))
(fma.f64 1/120 (/.f64 (pow.f64 kx 5) ky) (fma.f64 -1/6 (/.f64 (pow.f64 kx 3) ky) (/.f64 kx ky)))
(fma.f64 -1/6 (/.f64 (pow.f64 kx 3) ky) (fma.f64 1/120 (/.f64 (pow.f64 kx 5) ky) (/.f64 kx ky)))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 kx 5) ky)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 kx 3) ky)) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 kx 7) ky)) (/.f64 kx ky))))
(fma.f64 1/120 (/.f64 (pow.f64 kx 5) ky) (fma.f64 -1/6 (/.f64 (pow.f64 kx 3) ky) (fma.f64 -1/5040 (/.f64 (pow.f64 kx 7) ky) (/.f64 kx ky))))
(fma.f64 -1/6 (/.f64 (pow.f64 kx 3) ky) (fma.f64 1/120 (/.f64 (pow.f64 kx 5) ky) (fma.f64 -1/5040 (/.f64 (pow.f64 kx 7) ky) (/.f64 kx ky))))
(*.f64 1/2 (/.f64 ky kx))
(/.f64 (*.f64 1/2 ky) kx)
(/.f64 ky (/.f64 kx 1/2))
(+.f64 (/.f64 kx ky) (*.f64 1/2 (/.f64 ky kx)))
(+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 kx ky))
(fma.f64 1/2 (/.f64 ky kx) (/.f64 kx ky))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 kx 3) ky)) (+.f64 (/.f64 kx ky) (*.f64 1/2 (/.f64 ky kx))))
(fma.f64 -1/6 (/.f64 (pow.f64 kx 3) ky) (+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 kx ky)))
(fma.f64 -1/6 (/.f64 (pow.f64 kx 3) ky) (fma.f64 1/2 (/.f64 ky kx) (/.f64 kx ky)))
(fma.f64 1/2 (/.f64 ky kx) (fma.f64 -1/6 (/.f64 (pow.f64 kx 3) ky) (/.f64 kx ky)))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 kx 5) ky)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 kx 3) ky)) (+.f64 (/.f64 kx ky) (*.f64 1/2 (/.f64 ky kx)))))
(fma.f64 1/120 (/.f64 (pow.f64 kx 5) ky) (fma.f64 -1/6 (/.f64 (pow.f64 kx 3) ky) (+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 kx ky))))
(fma.f64 1/120 (/.f64 (pow.f64 kx 5) ky) (fma.f64 -1/6 (/.f64 (pow.f64 kx 3) ky) (fma.f64 1/2 (/.f64 ky kx) (/.f64 kx ky))))
(fma.f64 -1/6 (/.f64 (pow.f64 kx 3) ky) (fma.f64 1/120 (/.f64 (pow.f64 kx 5) ky) (fma.f64 1/2 (/.f64 ky kx) (/.f64 kx ky))))
(/.f64 (sin.f64 kx) ky)
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))
(+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky))
(fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))
(+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky))
(fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))
(+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky))
(fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 kx) ky)
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))
(+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky))
(fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))
(+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky))
(fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))
(+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky))
(fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))
(/.f64 (sin.f64 kx) ky)
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))
(+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky))
(fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))
(+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky))
(fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))
(+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky))
(fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))
(*.f64 1/2 (/.f64 ky kx))
(/.f64 (*.f64 1/2 ky) kx)
(/.f64 ky (/.f64 kx 1/2))
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))
(+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky))
(fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))
(+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky))
(fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))
(+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky))
(fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))
(*.f64 1/2 (/.f64 ky kx))
(/.f64 (*.f64 1/2 ky) kx)
(/.f64 ky (/.f64 kx 1/2))
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))
(+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky))
(fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))
(+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky))
(fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))
(+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))
(+.f64 (*.f64 1/2 (/.f64 ky kx)) (/.f64 (sin.f64 kx) ky))
(fma.f64 1/2 (/.f64 ky kx) (/.f64 (sin.f64 kx) ky))

localize51.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx)))
✓0.2b
(/.f64 (sin.f64 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))
0.3b
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky)
0.3b
(*.f64 -1/6 (sin.f64 kx))
Compiler

Compiled 67 to 40 computations (40.3% saved)

series15.0ms (0%)

Counts
1 → 8
Calls

9 calls:

TimeVariablePointExpression
3.0ms
th
@0
(/.f64 (sin.f64 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))
2.0ms
kx
@-inf
(/.f64 (sin.f64 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))
1.0ms
kx
@0
(/.f64 (sin.f64 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))
1.0ms
kx
@inf
(/.f64 (sin.f64 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))
1.0ms
th
@inf
(/.f64 (sin.f64 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))

rewrite85.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
783×log-prod_binary64
426×fma-def_binary64
283×expm1-udef_binary64
283×log1p-udef_binary64
262×pow3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01522
132922
2427820
Stop Event
1×node limit
Counts
1 → 44
Calls
Call 1
Inputs
(/.f64 (sin.f64 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 th) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 th) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky)))) (cbrt.f64 (exp.f64 (/.f64 (sin.f64 th) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 th) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 th) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 th) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 th) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 th) (/.f64 1 (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 th) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 th) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky)) 2)) (cbrt.f64 (/.f64 (sin.f64 th) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) (*.f64 (cbrt.f64 (sin.f64 th)) (/.f64 1 (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 th) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky))) (sqrt.f64 (/.f64 (sin.f64 th) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 th)) (*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 1 (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 th)) (/.f64 1 (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) (neg.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky)) (sin.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 th) (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx)))) (/.f64 1 ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) 1) (/.f64 (cbrt.f64 (sin.f64 th)) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 th)) 1) (/.f64 (sqrt.f64 (sin.f64 th)) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx)))) (/.f64 (sqrt.f64 (sin.f64 th)) ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx)))) (/.f64 (sin.f64 th) ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx)))) (/.f64 (cbrt.f64 (sin.f64 th)) ky))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 th)) ky) (/.f64 (sqrt.f64 (sin.f64 th)) (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 ky) (/.f64 (sin.f64 th) (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) ky) (/.f64 (cbrt.f64 (sin.f64 th)) (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky) 2))) (/.f64 (sin.f64 th) (cbrt.f64 (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky) 2))) (cbrt.f64 (/.f64 (sin.f64 th) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky) 2))) (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky))) (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) 2)) (sqrt.f64 (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky))) (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 th) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 th) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 th) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) (/.f64 (sin.f64 th) ky)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) (/.f64 (sin.f64 th) ky)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 th) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) (neg.f64 ky))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 th) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 th) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 th) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 th) 3) (pow.f64 (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 th) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 th) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky))) 1))))))

simplify55.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
591×cancel-sign-sub-inv_binary64
541×fma-neg_binary64
446×associate-/l*_binary64
403×associate-*l/_binary64
293×associate-*r/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
068402
1210386
2648353
32571327
Stop Event
1×node limit
Counts
52 → 60
Calls
Call 1
Inputs
(/.f64 th (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 th 3) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))) (/.f64 th (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 th 3) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 th 5) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))) (/.f64 th (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 th 3) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 th 7) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 th 5) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))) (/.f64 th (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky)))))
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 3)) ky)) (*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 3)) ky)) (+.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -13/180 (/.f64 (sin.f64 th) ky)) (*.f64 -1/2 (/.f64 (sin.f64 th) ky))) (pow.f64 kx 5)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 3)) ky)) (+.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 13/360 (/.f64 (sin.f64 th) ky)) (+.f64 (*.f64 73/7560 (/.f64 (sin.f64 th) ky)) (*.f64 -1/2 (+.f64 (*.f64 -13/180 (/.f64 (sin.f64 th) ky)) (*.f64 -1/2 (/.f64 (sin.f64 th) ky)))))) (pow.f64 kx 7))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -13/180 (/.f64 (sin.f64 th) ky)) (*.f64 -1/2 (/.f64 (sin.f64 th) ky))) (pow.f64 kx 5))))))
Outputs
(/.f64 th (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))
(/.f64 th (*.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))) ky))
(/.f64 th (*.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) ky))
(/.f64 th (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 th 3) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))) (/.f64 th (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky)))
(fma.f64 -1/6 (/.f64 (pow.f64 th 3) (*.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))) ky)) (/.f64 th (*.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))) ky)))
(fma.f64 -1/6 (/.f64 (pow.f64 th 3) (*.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) ky)) (/.f64 th (*.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) ky)))
(fma.f64 -1/6 (/.f64 (pow.f64 th 3) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky)) (/.f64 th (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 th 3) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 th 5) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))) (/.f64 th (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))))
(fma.f64 -1/6 (/.f64 (pow.f64 th 3) (*.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))) ky)) (fma.f64 1/120 (/.f64 (pow.f64 th 5) (*.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))) ky)) (/.f64 th (*.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))) ky))))
(fma.f64 -1/6 (/.f64 (pow.f64 th 3) (*.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) ky)) (fma.f64 1/120 (/.f64 (/.f64 (pow.f64 th 5) ky) (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6))) (/.f64 th (*.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) ky))))
(fma.f64 -1/6 (/.f64 (pow.f64 th 3) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky)) (fma.f64 1/120 (/.f64 (pow.f64 th 5) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky)) (/.f64 th (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky))))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 th 3) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 th 7) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 th 5) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))) (/.f64 th (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky)))))
(fma.f64 -1/6 (/.f64 (pow.f64 th 3) (*.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))) ky)) (fma.f64 -1/5040 (/.f64 (pow.f64 th 7) (*.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))) ky)) (fma.f64 1/120 (/.f64 (pow.f64 th 5) (*.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))) ky)) (/.f64 th (*.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 1/6 (sin.f64 kx))) ky)))))
(fma.f64 -1/6 (/.f64 (pow.f64 th 3) (*.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) ky)) (fma.f64 -1/5040 (/.f64 (/.f64 (pow.f64 th 7) ky) (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6))) (fma.f64 1/120 (/.f64 (/.f64 (pow.f64 th 5) ky) (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6))) (/.f64 th (*.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) ky)))))
(fma.f64 -1/6 (/.f64 (pow.f64 th 3) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky)) (fma.f64 1/120 (/.f64 (pow.f64 th 5) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky)) (fma.f64 -1/5040 (/.f64 (/.f64 (pow.f64 th 7) ky) (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx)))) (/.f64 th (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky)))))
(fma.f64 -1/6 (/.f64 (pow.f64 th 3) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky)) (fma.f64 1/120 (/.f64 (pow.f64 th 5) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky)) (fma.f64 -1/5040 (/.f64 (pow.f64 th 7) (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky)) (/.f64 th (*.f64 (fma.f64 (sin.f64 kx) 1/6 (/.f64 1/2 (sin.f64 kx))) ky)))))
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
(*.f64 2 (/.f64 (sin.f64 th) (/.f64 ky kx)))
(*.f64 2 (*.f64 (/.f64 (sin.f64 th) ky) kx))
(*.f64 2 (*.f64 kx (/.f64 (sin.f64 th) ky)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 3)) ky)) (*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky)))
(fma.f64 -1 (/.f64 (sin.f64 th) (/.f64 ky (pow.f64 kx 3))) (*.f64 2 (/.f64 (sin.f64 th) (/.f64 ky kx))))
(fma.f64 2 (*.f64 (/.f64 (sin.f64 th) ky) kx) (/.f64 (neg.f64 (sin.f64 th)) (/.f64 ky (pow.f64 kx 3))))
(-.f64 (*.f64 2 (*.f64 kx (/.f64 (sin.f64 th) ky))) (*.f64 (pow.f64 kx 3) (/.f64 (sin.f64 th) ky)))
(*.f64 (*.f64 kx (/.f64 (sin.f64 th) ky)) (-.f64 2 (*.f64 kx kx)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 3)) ky)) (+.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -13/180 (/.f64 (sin.f64 th) ky)) (*.f64 -1/2 (/.f64 (sin.f64 th) ky))) (pow.f64 kx 5)))))
(fma.f64 -1 (/.f64 (sin.f64 th) (/.f64 ky (pow.f64 kx 3))) (fma.f64 2 (/.f64 (sin.f64 th) (/.f64 ky kx)) (neg.f64 (*.f64 (*.f64 (/.f64 (sin.f64 th) ky) -103/180) (pow.f64 kx 5)))))
(-.f64 (fma.f64 2 (*.f64 (/.f64 (sin.f64 th) ky) kx) (/.f64 (neg.f64 (sin.f64 th)) (/.f64 ky (pow.f64 kx 3)))) (*.f64 (/.f64 (sin.f64 th) ky) (*.f64 -103/180 (pow.f64 kx 5))))
(-.f64 (fma.f64 2 (*.f64 kx (/.f64 (sin.f64 th) ky)) (*.f64 (pow.f64 kx 5) (*.f64 (/.f64 (sin.f64 th) ky) 103/180))) (*.f64 (pow.f64 kx 3) (/.f64 (sin.f64 th) ky)))
(fma.f64 2 (*.f64 kx (/.f64 (sin.f64 th) ky)) (*.f64 (/.f64 (sin.f64 th) ky) (-.f64 (*.f64 (pow.f64 kx 5) 103/180) (pow.f64 kx 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 th) (pow.f64 kx 3)) ky)) (+.f64 (*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 13/360 (/.f64 (sin.f64 th) ky)) (+.f64 (*.f64 73/7560 (/.f64 (sin.f64 th) ky)) (*.f64 -1/2 (+.f64 (*.f64 -13/180 (/.f64 (sin.f64 th) ky)) (*.f64 -1/2 (/.f64 (sin.f64 th) ky)))))) (pow.f64 kx 7))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -13/180 (/.f64 (sin.f64 th) ky)) (*.f64 -1/2 (/.f64 (sin.f64 th) ky))) (pow.f64 kx 5))))))
(fma.f64 -1 (/.f64 (sin.f64 th) (/.f64 ky (pow.f64 kx 3))) (fma.f64 2 (/.f64 (sin.f64 th) (/.f64 ky kx)) (fma.f64 -1 (*.f64 (fma.f64 13/360 (/.f64 (sin.f64 th) ky) (fma.f64 73/7560 (/.f64 (sin.f64 th) ky) (*.f64 -1/2 (*.f64 (/.f64 (sin.f64 th) ky) -103/180)))) (pow.f64 kx 7)) (neg.f64 (*.f64 (*.f64 (/.f64 (sin.f64 th) ky) -103/180) (pow.f64 kx 5))))))
(-.f64 (fma.f64 2 (*.f64 (/.f64 (sin.f64 th) ky) kx) (neg.f64 (fma.f64 (+.f64 (*.f64 (/.f64 (sin.f64 th) ky) 103/360) (*.f64 (/.f64 (sin.f64 th) ky) 173/3780)) (pow.f64 kx 7) (*.f64 (/.f64 (sin.f64 th) ky) (*.f64 -103/180 (pow.f64 kx 5)))))) (*.f64 (/.f64 (sin.f64 th) ky) (pow.f64 kx 3)))
(-.f64 (-.f64 (*.f64 2 (*.f64 kx (/.f64 (sin.f64 th) ky))) (*.f64 (pow.f64 kx 3) (/.f64 (sin.f64 th) ky))) (fma.f64 (/.f64 (sin.f64 th) ky) (*.f64 (pow.f64 kx 5) -103/180) (*.f64 (*.f64 (/.f64 (sin.f64 th) ky) 2509/7560) (pow.f64 kx 7))))
(fma.f64 2 (*.f64 kx (/.f64 (sin.f64 th) ky)) (fma.f64 (pow.f64 kx 7) (*.f64 (/.f64 (sin.f64 th) ky) -2509/7560) (*.f64 (/.f64 (sin.f64 th) ky) (-.f64 (*.f64 (pow.f64 kx 5) 103/180) (pow.f64 kx 3)))))

localize54.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓0.2b
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
✓0.3b
(*.f64 1/6 th)
✓0.4b
(*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
Compiler

Compiled 59 to 30 computations (49.2% saved)

series37.0ms (0.1%)

Counts
3 → 72
Calls

21 calls:

TimeVariablePointExpression
4.0ms
ky
@0
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
3.0ms
ky
@inf
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
3.0ms
kx
@0
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
2.0ms
kx
@inf
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
2.0ms
th
@inf
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))

rewrite118.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
755×log-prod_binary64
336×fma-def_binary64
275×pow1/3_binary64
267×expm1-udef_binary64
267×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01449
130145
2417245
Stop Event
1×node limit
Counts
3 → 128
Calls
Call 1
Inputs
(*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(*.f64 1/6 th)
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (fma.f64 th 1/6 (/.f64 1 th))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th 1/6)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th) 1) (*.f64 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 th 1/6 (/.f64 1 th))) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 th 1/6 (/.f64 1 th))) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 th 1/6 (/.f64 1 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 (fma.f64 th 1/6 (/.f64 1 th))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 th 1/6 (/.f64 1 th))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (fma.f64 th 1/6 (/.f64 1 th))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th) 3) (pow.f64 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th 1/6)) 3)) (fma.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th) (-.f64 (*.f64 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th 1/6)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th 1/6))) (*.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 th 1/6))))))))) 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simplify142.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
962×fma-def_binary64
506×associate-/r*_binary64
453×times-frac_binary64
439×distribute-rgt-in_binary64
435×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02083941
16723495
224503190
Stop Event
1×node limit
Counts
200 → 185
Calls
Call 1
Inputs
(*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (sin.f64 ky))
(+.f64 (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (sin.f64 ky)) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 kx 2)) (sin.f64 ky))))
(+.f64 (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (sin.f64 ky)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 kx 2)) (sin.f64 ky))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (*.f64 (pow.f64 kx 4) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3))) (sin.f64 ky)))))
(+.f64 (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (sin.f64 ky)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (*.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 (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 kx 2)) (sin.f64 ky))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (*.f64 (pow.f64 kx 4) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3))) (sin.f64 ky))))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (sin.f64 kx))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 ky 2)) (sin.f64 kx))) (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (sin.f64 kx)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 ky 2)) (sin.f64 kx))) (+.f64 (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (sin.f64 kx)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (*.f64 (pow.f64 ky 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (sin.f64 kx)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (*.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 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 ky 2)) (sin.f64 kx))) (+.f64 (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (sin.f64 kx)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (*.f64 (pow.f64 ky 4) (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)))) (sin.f64 kx))))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th))
(+.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th)) (*.f64 1/6 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) th)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th)) (*.f64 1/6 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) th)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th)) (*.f64 1/6 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) th)))
(*.f64 1/6 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) th))
(+.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th)) (*.f64 1/6 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) th)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th)) (*.f64 1/6 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) th)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th)) (*.f64 1/6 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) th)))
(*.f64 1/6 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) th))
(+.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th)) (*.f64 1/6 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) th)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th)) (*.f64 1/6 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) th)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) (/.f64 1 th)) (*.f64 1/6 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))) th)))
(/.f64 ky (*.f64 (sin.f64 kx) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(+.f64 (/.f64 ky (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (sin.f64 kx))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 (sin.f64 kx) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 3))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 1 (*.f64 (sin.f64 kx) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 (sin.f64 kx) 3)))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 (sin.f64 kx) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 ky 5)) (+.f64 (/.f64 ky (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (sin.f64 kx))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 (sin.f64 kx) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 3)))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 1 (*.f64 (sin.f64 kx) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 (sin.f64 kx) 3)))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 (sin.f64 kx) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 ky 5)) (+.f64 (/.f64 ky (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (sin.f64 kx))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 (sin.f64 kx) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 (sin.f64 kx) 3))))) (pow.f64 ky 3))) (*.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)))) (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 (sin.f64 kx) 3)))) (+.f64 (*.f64 1/5040 (/.f64 1 (*.f64 (sin.f64 kx) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/120 (/.f64 1 (*.f64 (sin.f64 kx) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/3 (pow.f64 (/.f64 1/2 (sin.f64 kx)) 2)) (*.f64 (pow.f64 (sin.f64 kx) 3) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 (sin.f64 kx) 3)))) (*.f64 1/6 (/.f64 1 (*.f64 (sin.f64 kx) (+.f64 (/.f64 1 th) (*.f64 1/6 th)))))) (pow.f64 (sin.f64 kx) 2))))) (pow.f64 (sin.f64 kx) 2))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 (sin.f64 kx) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 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)))))) (pow.f64 ky 7))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(/.f64 1 (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(+.f64 (/.f64 1 (+.f64 (/.f64 1 th) (*.f64 1/6 th))) (*.f64 -1/2 (/.f64 (pow.f64 kx 2) (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 (sin.f64 ky) 2)))))
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 (sin.f64 ky) 4)))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 (sin.f64 ky) 2))))) (pow.f64 kx 4)) (+.f64 (/.f64 1 (+.f64 (/.f64 1 th) (*.f64 1/6 th))) (*.f64 -1/2 (/.f64 (pow.f64 kx 2) (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 (sin.f64 ky) 2))))))
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 (sin.f64 ky) 4)))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 (sin.f64 ky) 2))))) (pow.f64 kx 4)) (+.f64 (/.f64 1 (+.f64 (/.f64 1 th) (*.f64 1/6 th))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 kx 6) (+.f64 (*.f64 1/4 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 (sin.f64 ky) 4)))) (+.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)))) (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 (sin.f64 ky) 2)))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 (sin.f64 ky) 4)))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3) (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 (sin.f64 ky) 2))))) (pow.f64 (sin.f64 ky) 2))))))) (*.f64 -1/2 (/.f64 (pow.f64 kx 2) (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 (sin.f64 ky) 2)))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (sin.f64 ky) (+.f64 (/.f64 1 th) (*.f64 1/6 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 -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 -1/6 (*.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 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)) (*.f64 1/36 (*.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 -1/216 (*.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 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)) (*.f64 1/36 (*.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 6 (*.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 -36 (*.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 6 (*.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 -36 (*.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 216 (*.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 6 (*.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 -36 (*.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 216 (*.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 6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (sin.f64 ky) th))) (*.f64 -1296 (*.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 6 (*.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 -36 (*.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 6 (*.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 -36 (*.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 216 (*.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 6 (*.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 -36 (*.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 216 (*.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 6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (sin.f64 ky) th))) (*.f64 -1296 (*.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)))))))
Outputs
(*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (sin.f64 ky))
(*.f64 (+.f64 (/.f64 1 th) (*.f64 th 1/6)) (sin.f64 ky))
(*.f64 (fma.f64 th 1/6 (/.f64 1 th)) (sin.f64 ky))
(+.f64 (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (sin.f64 ky)) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 kx 2)) (sin.f64 ky))))
(fma.f64 (+.f64 (/.f64 1 th) (*.f64 th 1/6)) (sin.f64 ky) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 th) (*.f64 th 1/6)) (/.f64 (sin.f64 ky) (*.f64 kx kx)))))
(fma.f64 (fma.f64 th 1/6 (/.f64 1 th)) (sin.f64 ky) (/.f64 (*.f64 (*.f64 1/2 (*.f64 kx kx)) (fma.f64 th 1/6 (/.f64 1 th))) (sin.f64 ky)))
(fma.f64 (fma.f64 th 1/6 (/.f64 1 th)) (sin.f64 ky) (*.f64 (/.f64 1/2 (sin.f64 ky)) (*.f64 (fma.f64 th 1/6 (/.f64 1 th)) (*.f64 kx kx))))
(+.f64 (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (sin.f64 ky)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 kx 2)) (sin.f64 ky))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (*.f64 (pow.f64 kx 4) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3))) (sin.f64 ky)))))
(fma.f64 (+.f64 (/.f64 1 th) (*.f64 th 1/6)) (sin.f64 ky) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1 th) (*.f64 th 1/6)) (/.f64 (sin.f64 ky) (*.f64 kx kx))) (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 th) (*.f64 th 1/6)) (/.f64 (sin.f64 ky) (*.f64 (pow.f64 kx 4) (+.f64 (pow.f64 (/.f64 1/2 (sin.f64 ky)) 2) 1/3)))))))
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(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 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 th (sin.f64 ky)) (*.f64 1/36 (*.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 (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 th (sin.f64 ky)) (*.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 5)) 1/36))))
(fma.f64 th (*.f64 (sin.f64 ky) (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 (pow.f64 th 3) -1/6) (*.f64 (pow.f64 th 5) 1/36))))
(+.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 -1/216 (*.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 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (sin.f64 ky) th)) (*.f64 1/36 (*.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 -1/216 (*.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))) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 th (sin.f64 ky)) (*.f64 1/36 (*.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 (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 -1/216 (*.f64 (sin.f64 ky) (*.f64 (pow.f64 th 7) (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 th (sin.f64 ky)) (*.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 5)) 1/36)))))
(+.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 (pow.f64 th 5) 1/36))) (*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2))))) (+.f64 (*.f64 (pow.f64 th 3) -1/6) (*.f64 (pow.f64 th 7) -1/216))))
(*.f64 6 (*.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) th) 6))
(+.f64 (*.f64 -36 (*.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 6 (*.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 -36 (*.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 6 (*.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 6 (*.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)) -36)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (+.f64 (*.f64 6 (/.f64 (sin.f64 ky) th)) (*.f64 -36 (/.f64 (sin.f64 ky) (pow.f64 th 3)))))
(+.f64 (*.f64 -36 (*.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 216 (*.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 6 (*.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 -36 (*.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 216 (*.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 6 (*.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 -36 (*.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 6 (*.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 5)) 216))))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (/.f64 (sin.f64 ky) th) 6) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (+.f64 (*.f64 -36 (/.f64 (sin.f64 ky) (pow.f64 th 3))) (*.f64 216 (/.f64 (sin.f64 ky) (pow.f64 th 5))))))
(+.f64 (*.f64 -36 (*.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 216 (*.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 6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (sin.f64 ky) th))) (*.f64 -1296 (*.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)))))))
(fma.f64 -36 (*.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 216 (*.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 6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (sin.f64 ky) th)) (*.f64 -1296 (*.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)))))))
(fma.f64 -36 (*.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 216 (*.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 6 (*.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)) -1296)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (+.f64 (*.f64 6 (/.f64 (sin.f64 ky) th)) (*.f64 216 (/.f64 (sin.f64 ky) (pow.f64 th 5))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (+.f64 (*.f64 -1296 (/.f64 (sin.f64 ky) (pow.f64 th 7))) (*.f64 -36 (/.f64 (sin.f64 ky) (pow.f64 th 3))))))
(*.f64 6 (*.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) th) 6))
(+.f64 (*.f64 -36 (*.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 6 (*.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 -36 (*.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 6 (*.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 6 (*.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)) -36)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (+.f64 (*.f64 6 (/.f64 (sin.f64 ky) th)) (*.f64 -36 (/.f64 (sin.f64 ky) (pow.f64 th 3)))))
(+.f64 (*.f64 -36 (*.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 216 (*.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 6 (*.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 -36 (*.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 216 (*.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 6 (*.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 -36 (*.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 6 (*.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 5)) 216))))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (*.f64 (/.f64 (sin.f64 ky) th) 6) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (+.f64 (*.f64 -36 (/.f64 (sin.f64 ky) (pow.f64 th 3))) (*.f64 216 (/.f64 (sin.f64 ky) (pow.f64 th 5))))))
(+.f64 (*.f64 -36 (*.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 216 (*.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 6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (sin.f64 ky) th))) (*.f64 -1296 (*.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)))))))
(fma.f64 -36 (*.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 216 (*.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 6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (/.f64 (sin.f64 ky) th)) (*.f64 -1296 (*.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)))))))
(fma.f64 -36 (*.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 216 (*.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 6 (*.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)) -1296)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (+.f64 (*.f64 6 (/.f64 (sin.f64 ky) th)) (*.f64 216 (/.f64 (sin.f64 ky) (pow.f64 th 5))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 ky) 2) (pow.f64 (sin.f64 kx) 2)))) (+.f64 (*.f64 -1296 (/.f64 (sin.f64 ky) (pow.f64 th 7))) (*.f64 -36 (/.f64 (sin.f64 ky) (pow.f64 th 3))))))

eval595.0ms (1.9%)

Compiler

Compiled 27311 to 14308 computations (47.6% saved)

prune267.0ms (0.9%)

Pruning

72 alts after pruning (65 fresh and 7 done)

PrunedKeptTotal
New978281006
Fresh123749
Picked011
Done369
Total993721065
Error
0b
Counts
1065 → 72
Alt Table
Click to see full alt table
StatusErrorProgram
0.2b
(/.f64 (sin.f64 th) (/.f64 1 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
57.9b
(/.f64 (sin.f64 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (+.f64 (*.f64 -1/6 kx) (*.f64 1/36 (pow.f64 kx 3)))) ky))
48.2b
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
50.7b
(log1p.f64 (fabs.f64 (expm1.f64 (sin.f64 th))))
57.1b
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 th))) 3))
58.1b
(*.f64 (sin.f64 ky) (*.f64 (+.f64 (*.f64 1/6 ky) (/.f64 1 ky)) (sin.f64 th)))
61.4b
(/.f64 (sin.f64 ky) (*.f64 (*.f64 th 1/6) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
57.7b
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 th 3))))
✓0.2b
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
45.2b
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
47.3b
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
54.3b
(-.f64 (*.f64 (sin.f64 (+.f64 1 th)) (cos.f64 1)) (*.f64 (cos.f64 (+.f64 1 th)) (sin.f64 1)))
31.5b
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
31.4b
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
54.3b
(*.f64 (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th th)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th)))
57.8b
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 ky) (sin.f64 th)))
55.4b
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
0.3b
(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 ky))))
54.1b
(+.f64 (/.f64 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))) (*.f64 -1/6 (/.f64 (pow.f64 th 3) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))))
62.3b
(*.f64 (*.f64 kx (/.f64 (sin.f64 th) ky)) (-.f64 2 (*.f64 kx kx)))
55.4b
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 ky)) th))
57.0b
(+.f64 (/.f64 1 (+.f64 (/.f64 1 th) (*.f64 1/6 th))) (*.f64 -1/2 (/.f64 (pow.f64 kx 2) (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 (sin.f64 ky) 2)))))
14.7b
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (cbrt.f64 (pow.f64 (sin.f64 th) 3))))
49.2b
(/.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 th th)) (cos.f64 (+.f64 th th)))) (sqrt.f64 2))
48.6b
(-.f64 (+.f64 1 (sin.f64 th)) 1)
50.1b
(/.f64 (sin.f64 th) (+.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 kx) ky) 2)) (*.f64 (/.f64 1/2 kx) ky)))
0.2b
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 1 (/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))))
52.7b
(/.f64 (sin.f64 th) (+.f64 (/.f64 kx ky) (*.f64 (/.f64 1/2 kx) ky)))
53.2b
(/.f64 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))
57.0b
(exp.f64 (log.f64 (sin.f64 th)))
54.7b
(/.f64 1 (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
0.3b
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (log1p.f64 (expm1.f64 (sin.f64 th)))))
47.9b
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
0.3b
(/.f64 (sin.f64 th) (/.f64 (/.f64 1 (sin.f64 ky)) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
54.7b
(/.f64 (sin.f64 ky) (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (sin.f64 ky)))
3.1b
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))
56.8b
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 th 3))) 1)
44.1b
(/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 kx (/.f64 (pow.f64 (sin.f64 ky) 2) kx)) 1))
✓0.2b
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
55.2b
th
61.6b
(*.f64 2 (*.f64 (/.f64 (sin.f64 th) ky) kx))
48.4b
(fabs.f64 (sin.f64 th))
31.4b
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
46.0b
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) ky)))
61.7b
(/.f64 (sin.f64 th) (*.f64 (/.f64 1/2 kx) ky))
45.2b
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
46.9b
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
61.7b
(*.f64 2 (*.f64 (/.f64 kx ky) (sin.f64 th)))
57.4b
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
✓47.9b
(sin.f64 th)
21.4b
(*.f64 (sin.f64 ky) (-.f64 (+.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1) 1))
45.2b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
47.0b
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
60.9b
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
46.8b
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
48.6b
(log.f64 (exp.f64 (sin.f64 th)))
57.9b
(/.f64 (sin.f64 th) (*.f64 (+.f64 (*.f64 -13/720 (pow.f64 kx 3)) (+.f64 (*.f64 1/4 kx) (*.f64 1/2 (/.f64 1 kx)))) ky))
57.1b
(log1p.f64 (exp.f64 (log.f64 (expm1.f64 (sin.f64 th)))))
✓47.9b
(log1p.f64 (expm1.f64 (sin.f64 th)))
✓31.0b
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
60.4b
(/.f64 (sin.f64 th) (+.f64 (*.f64 1/4 (*.f64 kx ky)) (*.f64 1/2 (/.f64 ky kx))))
48.6b
(/.f64 (sin.f64 th) (/.f64 (fma.f64 (*.f64 1/2 ky) ky (*.f64 kx (sin.f64 kx))) (*.f64 kx ky)))
✓0.3b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
52.6b
(/.f64 (sin.f64 ky) (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (sin.f64 kx)))
57.8b
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
47.1b
(log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 th)) 3)))
61.6b
(/.f64 th (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))
56.3b
(/.f64 (sin.f64 th) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 ky)) (/.f64 (sin.f64 kx) (sqrt.f64 ky))) (*.f64 (/.f64 1/2 kx) ky)))
45.2b
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
58.3b
(/.f64 (sin.f64 th) (+.f64 (*.f64 1/4 (*.f64 kx ky)) (+.f64 (*.f64 -13/720 (*.f64 (pow.f64 kx 3) ky)) (*.f64 1/2 (/.f64 ky kx)))))
53.6b
(/.f64 ky (*.f64 (sin.f64 kx) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
✓57.4b
(*.f64 -1/6 (pow.f64 th 3))
Compiler

Compiled 1005 to 734 computations (27% saved)

regimes1.0s (3.3%)

Counts
121 → 1
Calls
Call 1
Inputs
th
th
(/.f64 1 (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(sin.f64 th)
(*.f64 -1/6 (pow.f64 th 3))
(-.f64 (+.f64 1 (sin.f64 th)) 1)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(/.f64 (sin.f64 th) (*.f64 (/.f64 1/2 kx) ky))
(*.f64 2 (*.f64 (/.f64 kx ky) (sin.f64 th)))
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
(*.f64 2 (*.f64 (/.f64 (sin.f64 th) ky) kx))
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 th 3))) 1)
(*.f64 (*.f64 kx (/.f64 (sin.f64 th) ky)) (-.f64 2 (*.f64 kx kx)))
(/.f64 (sin.f64 th) (+.f64 (/.f64 kx ky) (*.f64 (/.f64 1/2 kx) ky)))
(/.f64 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))
(/.f64 ky (*.f64 (sin.f64 kx) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(/.f64 (sin.f64 th) (+.f64 (*.f64 1/4 (*.f64 kx ky)) (*.f64 1/2 (/.f64 ky kx))))
(fabs.f64 (sin.f64 th))
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 ky)) th))
(/.f64 (sin.f64 ky) (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (sin.f64 kx)))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (/.f64 1/2 kx) ky)))
(*.f64 (sin.f64 ky) (*.f64 (+.f64 (*.f64 1/6 ky) (/.f64 1 ky)) (sin.f64 th)))
(/.f64 th (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))
(/.f64 (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th th)) (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th))
(*.f64 (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th th)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th)))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (+.f64 (*.f64 1/4 (*.f64 kx ky)) (*.f64 1/2 (/.f64 ky kx)))))
(/.f64 (sin.f64 th) (*.f64 (+.f64 (*.f64 -13/720 (pow.f64 kx 3)) (+.f64 (*.f64 1/4 kx) (*.f64 1/2 (/.f64 1 kx)))) ky))
(/.f64 (sin.f64 th) (+.f64 (*.f64 1/4 (*.f64 kx ky)) (+.f64 (*.f64 -13/720 (*.f64 (pow.f64 kx 3) ky)) (*.f64 1/2 (/.f64 ky kx)))))
(exp.f64 (log.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 th 3))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))) 1)
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (/.f64 (sin.f64 th) ky)))
(/.f64 (sin.f64 th) (/.f64 (fma.f64 (*.f64 1/2 ky) ky (*.f64 kx (sin.f64 kx))) (*.f64 kx ky)))
(/.f64 (sin.f64 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 kx)) ky)))
(/.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 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (+.f64 (*.f64 -1/6 kx) (*.f64 1/36 (pow.f64 kx 3)))) ky))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (+.f64 (*.f64 -13/720 (pow.f64 kx 3)) (+.f64 (*.f64 1/4 kx) (*.f64 1/2 (/.f64 1 kx)))) ky)))
(+.f64 (/.f64 1 (+.f64 (/.f64 1 th) (*.f64 1/6 th))) (*.f64 -1/2 (/.f64 (pow.f64 kx 2) (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 (sin.f64 ky) 2)))))
(+.f64 (/.f64 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))) (*.f64 -1/6 (/.f64 (pow.f64 th 3) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))))
(log1p.f64 (fabs.f64 (expm1.f64 (sin.f64 th))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 th))) 3))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (*.f64 (*.f64 th 1/6) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 th th)) (cos.f64 (+.f64 th th)))) (sqrt.f64 2))
(*.f64 (sin.f64 ky) (fma.f64 (sin.f64 th) (*.f64 ky 1/6) (/.f64 (sin.f64 th) ky)))
(/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 kx (/.f64 (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 (sin.f64 th) (fma.f64 1/2 (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) 1))
(-.f64 (*.f64 (sin.f64 (+.f64 1 th)) (cos.f64 1)) (*.f64 (cos.f64 (+.f64 1 th)) (sin.f64 1)))
(/.f64 (sin.f64 th) (+.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 kx) ky) 2)) (*.f64 (/.f64 1/2 kx) ky)))
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(/.f64 (sin.f64 th) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 ky)) (/.f64 (sin.f64 kx) (sqrt.f64 ky))) (*.f64 (/.f64 1/2 kx) ky)))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) ky)))
(/.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)))
(log1p.f64 (expm1.f64 (log.f64 (exp.f64 (sin.f64 th)))))
(log1p.f64 (exp.f64 (log.f64 (expm1.f64 (sin.f64 th)))))
(log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 th)) 3)))
(*.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))
(*.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(*.f64 (/.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 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 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 1 (sin.f64 th))))
(/.f64 1 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (sin.f64 th) (/.f64 (/.f64 1 (sin.f64 ky)) (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 1 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (/.f64 1 (sin.f64 th))))
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 1 (/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (-.f64 (+.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) 1) 1))
(/.f64 (sin.f64 th) (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) -1))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 kx kx)))) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (log1p.f64 (expm1.f64 (sin.f64 th)))))
(*.f64 (sin.f64 ky) (/.f64 (log1p.f64 (expm1.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (sin.f64 ky) (/.f64 (expm1.f64 (log1p.f64 (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (cbrt.f64 (pow.f64 (sin.f64 th) 3))))
(*.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) 3))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 kx) 2))) 1) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th))
Outputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
Calls

11 calls:

134.0ms
kx
111.0ms
(sin.f64 kx)
108.0ms
th
98.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
89.0ms
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (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 1461 to 670 computations (54.1% saved)

regimes464.0ms (1.5%)

Counts
96 → 1
Calls
Call 1
Inputs
th
th
(/.f64 1 (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(sin.f64 th)
(*.f64 -1/6 (pow.f64 th 3))
(-.f64 (+.f64 1 (sin.f64 th)) 1)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(/.f64 (sin.f64 th) (*.f64 (/.f64 1/2 kx) ky))
(*.f64 2 (*.f64 (/.f64 kx ky) (sin.f64 th)))
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
(*.f64 2 (*.f64 (/.f64 (sin.f64 th) ky) kx))
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 th 3))) 1)
(*.f64 (*.f64 kx (/.f64 (sin.f64 th) ky)) (-.f64 2 (*.f64 kx kx)))
(/.f64 (sin.f64 th) (+.f64 (/.f64 kx ky) (*.f64 (/.f64 1/2 kx) ky)))
(/.f64 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))
(/.f64 ky (*.f64 (sin.f64 kx) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(/.f64 (sin.f64 th) (+.f64 (*.f64 1/4 (*.f64 kx ky)) (*.f64 1/2 (/.f64 ky kx))))
(fabs.f64 (sin.f64 th))
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 ky)) th))
(/.f64 (sin.f64 ky) (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (sin.f64 kx)))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (/.f64 1/2 kx) ky)))
(*.f64 (sin.f64 ky) (*.f64 (+.f64 (*.f64 1/6 ky) (/.f64 1 ky)) (sin.f64 th)))
(/.f64 th (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))
(/.f64 (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th th)) (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th))
(*.f64 (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th th)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th)))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (+.f64 (*.f64 1/4 (*.f64 kx ky)) (*.f64 1/2 (/.f64 ky kx)))))
(/.f64 (sin.f64 th) (*.f64 (+.f64 (*.f64 -13/720 (pow.f64 kx 3)) (+.f64 (*.f64 1/4 kx) (*.f64 1/2 (/.f64 1 kx)))) ky))
(/.f64 (sin.f64 th) (+.f64 (*.f64 1/4 (*.f64 kx ky)) (+.f64 (*.f64 -13/720 (*.f64 (pow.f64 kx 3) ky)) (*.f64 1/2 (/.f64 ky kx)))))
(exp.f64 (log.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 th 3))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))) 1)
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (/.f64 (sin.f64 th) ky)))
(/.f64 (sin.f64 th) (/.f64 (fma.f64 (*.f64 1/2 ky) ky (*.f64 kx (sin.f64 kx))) (*.f64 kx ky)))
(/.f64 (sin.f64 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 kx)) ky)))
(/.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 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (+.f64 (*.f64 -1/6 kx) (*.f64 1/36 (pow.f64 kx 3)))) ky))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (+.f64 (*.f64 -13/720 (pow.f64 kx 3)) (+.f64 (*.f64 1/4 kx) (*.f64 1/2 (/.f64 1 kx)))) ky)))
(+.f64 (/.f64 1 (+.f64 (/.f64 1 th) (*.f64 1/6 th))) (*.f64 -1/2 (/.f64 (pow.f64 kx 2) (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 (sin.f64 ky) 2)))))
(+.f64 (/.f64 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))) (*.f64 -1/6 (/.f64 (pow.f64 th 3) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))))
(log1p.f64 (fabs.f64 (expm1.f64 (sin.f64 th))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 th))) 3))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (*.f64 (*.f64 th 1/6) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 th th)) (cos.f64 (+.f64 th th)))) (sqrt.f64 2))
(*.f64 (sin.f64 ky) (fma.f64 (sin.f64 th) (*.f64 ky 1/6) (/.f64 (sin.f64 th) ky)))
(/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 kx (/.f64 (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 (sin.f64 th) (fma.f64 1/2 (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) 1))
(-.f64 (*.f64 (sin.f64 (+.f64 1 th)) (cos.f64 1)) (*.f64 (cos.f64 (+.f64 1 th)) (sin.f64 1)))
(/.f64 (sin.f64 th) (+.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 kx) ky) 2)) (*.f64 (/.f64 1/2 kx) ky)))
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(/.f64 (sin.f64 th) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 ky)) (/.f64 (sin.f64 kx) (sqrt.f64 ky))) (*.f64 (/.f64 1/2 kx) ky)))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) ky)))
(/.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)))
(log1p.f64 (expm1.f64 (log.f64 (exp.f64 (sin.f64 th)))))
(log1p.f64 (exp.f64 (log.f64 (expm1.f64 (sin.f64 th)))))
(log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 th)) 3)))
(*.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))
(*.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
Calls

6 calls:

87.0ms
(sin.f64 th)
74.0ms
(sin.f64 kx)
66.0ms
th
65.0ms
ky
61.0ms
kx
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 1045 to 503 computations (51.9% saved)

regimes3.4s (10.9%)

Counts
95 → 4
Calls
Call 1
Inputs
th
th
(/.f64 1 (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(sin.f64 th)
(*.f64 -1/6 (pow.f64 th 3))
(-.f64 (+.f64 1 (sin.f64 th)) 1)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(/.f64 (sin.f64 th) (*.f64 (/.f64 1/2 kx) ky))
(*.f64 2 (*.f64 (/.f64 kx ky) (sin.f64 th)))
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
(*.f64 2 (*.f64 (/.f64 (sin.f64 th) ky) kx))
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 th 3))) 1)
(*.f64 (*.f64 kx (/.f64 (sin.f64 th) ky)) (-.f64 2 (*.f64 kx kx)))
(/.f64 (sin.f64 th) (+.f64 (/.f64 kx ky) (*.f64 (/.f64 1/2 kx) ky)))
(/.f64 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))
(/.f64 ky (*.f64 (sin.f64 kx) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(/.f64 (sin.f64 th) (+.f64 (*.f64 1/4 (*.f64 kx ky)) (*.f64 1/2 (/.f64 ky kx))))
(fabs.f64 (sin.f64 th))
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 ky)) th))
(/.f64 (sin.f64 ky) (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (sin.f64 kx)))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (/.f64 1/2 kx) ky)))
(*.f64 (sin.f64 ky) (*.f64 (+.f64 (*.f64 1/6 ky) (/.f64 1 ky)) (sin.f64 th)))
(/.f64 th (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))
(/.f64 (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th th)) (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th))
(*.f64 (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th th)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th)))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (+.f64 (*.f64 1/4 (*.f64 kx ky)) (*.f64 1/2 (/.f64 ky kx)))))
(/.f64 (sin.f64 th) (*.f64 (+.f64 (*.f64 -13/720 (pow.f64 kx 3)) (+.f64 (*.f64 1/4 kx) (*.f64 1/2 (/.f64 1 kx)))) ky))
(/.f64 (sin.f64 th) (+.f64 (*.f64 1/4 (*.f64 kx ky)) (+.f64 (*.f64 -13/720 (*.f64 (pow.f64 kx 3) ky)) (*.f64 1/2 (/.f64 ky kx)))))
(exp.f64 (log.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 th 3))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))) 1)
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (/.f64 (sin.f64 th) ky)))
(/.f64 (sin.f64 th) (/.f64 (fma.f64 (*.f64 1/2 ky) ky (*.f64 kx (sin.f64 kx))) (*.f64 kx ky)))
(/.f64 (sin.f64 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 kx)) ky)))
(/.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 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (+.f64 (*.f64 -1/6 kx) (*.f64 1/36 (pow.f64 kx 3)))) ky))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (+.f64 (*.f64 -13/720 (pow.f64 kx 3)) (+.f64 (*.f64 1/4 kx) (*.f64 1/2 (/.f64 1 kx)))) ky)))
(+.f64 (/.f64 1 (+.f64 (/.f64 1 th) (*.f64 1/6 th))) (*.f64 -1/2 (/.f64 (pow.f64 kx 2) (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 (sin.f64 ky) 2)))))
(+.f64 (/.f64 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))) (*.f64 -1/6 (/.f64 (pow.f64 th 3) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))))
(log1p.f64 (fabs.f64 (expm1.f64 (sin.f64 th))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 th))) 3))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (*.f64 (*.f64 th 1/6) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 th th)) (cos.f64 (+.f64 th th)))) (sqrt.f64 2))
(*.f64 (sin.f64 ky) (fma.f64 (sin.f64 th) (*.f64 ky 1/6) (/.f64 (sin.f64 th) ky)))
(/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 kx (/.f64 (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 (sin.f64 th) (fma.f64 1/2 (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) 1))
(-.f64 (*.f64 (sin.f64 (+.f64 1 th)) (cos.f64 1)) (*.f64 (cos.f64 (+.f64 1 th)) (sin.f64 1)))
(/.f64 (sin.f64 th) (+.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 kx) ky) 2)) (*.f64 (/.f64 1/2 kx) ky)))
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(/.f64 (sin.f64 th) (+.f64 (*.f64 (/.f64 1 (sqrt.f64 ky)) (/.f64 (sin.f64 kx) (sqrt.f64 ky))) (*.f64 (/.f64 1/2 kx) ky)))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (+.f64 (/.f64 1/2 (sin.f64 kx)) (*.f64 (sin.f64 kx) 1/6)) ky)))
(/.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)))
(log1p.f64 (expm1.f64 (log.f64 (exp.f64 (sin.f64 th)))))
(log1p.f64 (exp.f64 (log.f64 (expm1.f64 (sin.f64 th)))))
(log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 th)) 3)))
(*.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))
(*.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (sin.f64 ky)))))
Outputs
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(sin.f64 th)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
Calls

9 calls:

872.0ms
(sin.f64 kx)
562.0ms
kx
561.0ms
(sin.f64 kx)
285.0ms
(sin.f64 th)
232.0ms
(sin.f64 th)
Results
ErrorSegmentsBranch
27.1b8kx
28.0b3ky
22.6b3th
24.2b4(sin.f64 ky)
24.2b4(sin.f64 ky)
23.2b11(sin.f64 kx)
23.2b11(sin.f64 kx)
21.8b4(sin.f64 th)
21.8b4(sin.f64 th)
Compiler

Compiled 1049 to 514 computations (51% saved)

bsearch1.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
0.9220137404874494
0.9389076114697623
0.0ms
0.042809030832049434
0.0716714982214575
0.0ms
-0.022845716649350523
-0.0021779053413475795
Compiler

Compiled 25 to 19 computations (24% saved)

regimes2.9s (9.5%)

Counts
85 → 4
Calls
Call 1
Inputs
th
th
(/.f64 1 (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(sin.f64 th)
(*.f64 -1/6 (pow.f64 th 3))
(-.f64 (+.f64 1 (sin.f64 th)) 1)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(/.f64 (sin.f64 th) (*.f64 (/.f64 1/2 kx) ky))
(*.f64 2 (*.f64 (/.f64 kx ky) (sin.f64 th)))
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
(*.f64 2 (*.f64 (/.f64 (sin.f64 th) ky) kx))
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 th 3))) 1)
(*.f64 (*.f64 kx (/.f64 (sin.f64 th) ky)) (-.f64 2 (*.f64 kx kx)))
(/.f64 (sin.f64 th) (+.f64 (/.f64 kx ky) (*.f64 (/.f64 1/2 kx) ky)))
(/.f64 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))
(/.f64 ky (*.f64 (sin.f64 kx) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(/.f64 (sin.f64 th) (+.f64 (*.f64 1/4 (*.f64 kx ky)) (*.f64 1/2 (/.f64 ky kx))))
(fabs.f64 (sin.f64 th))
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 ky)) th))
(/.f64 (sin.f64 ky) (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (sin.f64 kx)))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (/.f64 1/2 kx) ky)))
(*.f64 (sin.f64 ky) (*.f64 (+.f64 (*.f64 1/6 ky) (/.f64 1 ky)) (sin.f64 th)))
(/.f64 th (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))
(/.f64 (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th th)) (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th))
(*.f64 (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th th)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th)))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (+.f64 (*.f64 1/4 (*.f64 kx ky)) (*.f64 1/2 (/.f64 ky kx)))))
(/.f64 (sin.f64 th) (*.f64 (+.f64 (*.f64 -13/720 (pow.f64 kx 3)) (+.f64 (*.f64 1/4 kx) (*.f64 1/2 (/.f64 1 kx)))) ky))
(/.f64 (sin.f64 th) (+.f64 (*.f64 1/4 (*.f64 kx ky)) (+.f64 (*.f64 -13/720 (*.f64 (pow.f64 kx 3) ky)) (*.f64 1/2 (/.f64 ky kx)))))
(exp.f64 (log.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 th 3))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))) 1)
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (/.f64 (sin.f64 th) ky)))
(/.f64 (sin.f64 th) (/.f64 (fma.f64 (*.f64 1/2 ky) ky (*.f64 kx (sin.f64 kx))) (*.f64 kx ky)))
(/.f64 (sin.f64 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 kx)) ky)))
(/.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 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (+.f64 (*.f64 -1/6 kx) (*.f64 1/36 (pow.f64 kx 3)))) ky))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (+.f64 (*.f64 -13/720 (pow.f64 kx 3)) (+.f64 (*.f64 1/4 kx) (*.f64 1/2 (/.f64 1 kx)))) ky)))
(+.f64 (/.f64 1 (+.f64 (/.f64 1 th) (*.f64 1/6 th))) (*.f64 -1/2 (/.f64 (pow.f64 kx 2) (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 (sin.f64 ky) 2)))))
(+.f64 (/.f64 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))) (*.f64 -1/6 (/.f64 (pow.f64 th 3) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))))
(log1p.f64 (fabs.f64 (expm1.f64 (sin.f64 th))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 th))) 3))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) th))
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (*.f64 (*.f64 th 1/6) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 th th)) (cos.f64 (+.f64 th th)))) (sqrt.f64 2))
(*.f64 (sin.f64 ky) (fma.f64 (sin.f64 th) (*.f64 ky 1/6) (/.f64 (sin.f64 th) ky)))
(/.f64 (sin.f64 th) (fma.f64 1/2 (/.f64 kx (/.f64 (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 (sin.f64 th) (fma.f64 1/2 (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) 2)) kx) 1))
(-.f64 (*.f64 (sin.f64 (+.f64 1 th)) (cos.f64 1)) (*.f64 (cos.f64 (+.f64 1 th)) (sin.f64 1)))
(/.f64 (sin.f64 th) (+.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 kx) ky) 2)) (*.f64 (/.f64 1/2 kx) ky)))
Outputs
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(sin.f64 th)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
Calls

9 calls:

580.0ms
(sin.f64 kx)
498.0ms
kx
484.0ms
(sin.f64 kx)
264.0ms
(sin.f64 th)
262.0ms
(sin.f64 th)
Results
ErrorSegmentsBranch
27.4b8kx
28.2b3ky
22.6b3th
24.3b4(sin.f64 ky)
24.3b4(sin.f64 ky)
23.5b11(sin.f64 kx)
23.5b11(sin.f64 kx)
21.8b4(sin.f64 th)
21.8b4(sin.f64 th)
Compiler

Compiled 925 to 461 computations (50.2% saved)

bsearch1.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
0.9220137404874494
0.9389076114697623
0.0ms
0.0072482691066108025
0.042809030832049434
0.0ms
-0.022845716649350523
-0.0021779053413475795
Compiler

Compiled 25 to 19 computations (24% saved)

regimes1.3s (4%)

Counts
73 → 3
Calls
Call 1
Inputs
th
th
(/.f64 1 (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(sin.f64 th)
(*.f64 -1/6 (pow.f64 th 3))
(-.f64 (+.f64 1 (sin.f64 th)) 1)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(/.f64 (sin.f64 th) (*.f64 (/.f64 1/2 kx) ky))
(*.f64 2 (*.f64 (/.f64 kx ky) (sin.f64 th)))
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
(*.f64 2 (*.f64 (/.f64 (sin.f64 th) ky) kx))
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 th 3))) 1)
(*.f64 (*.f64 kx (/.f64 (sin.f64 th) ky)) (-.f64 2 (*.f64 kx kx)))
(/.f64 (sin.f64 th) (+.f64 (/.f64 kx ky) (*.f64 (/.f64 1/2 kx) ky)))
(/.f64 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))
(/.f64 ky (*.f64 (sin.f64 kx) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(/.f64 (sin.f64 th) (+.f64 (*.f64 1/4 (*.f64 kx ky)) (*.f64 1/2 (/.f64 ky kx))))
(fabs.f64 (sin.f64 th))
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 ky)) th))
(/.f64 (sin.f64 ky) (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (sin.f64 kx)))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (/.f64 1/2 kx) ky)))
(*.f64 (sin.f64 ky) (*.f64 (+.f64 (*.f64 1/6 ky) (/.f64 1 ky)) (sin.f64 th)))
(/.f64 th (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))
(/.f64 (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th th)) (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th))
(*.f64 (-.f64 (*.f64 (pow.f64 th 6) 1/36) (*.f64 th th)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 th 3)) th)))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (+.f64 (*.f64 1/4 (*.f64 kx ky)) (*.f64 1/2 (/.f64 ky kx)))))
(/.f64 (sin.f64 th) (*.f64 (+.f64 (*.f64 -13/720 (pow.f64 kx 3)) (+.f64 (*.f64 1/4 kx) (*.f64 1/2 (/.f64 1 kx)))) ky))
(/.f64 (sin.f64 th) (+.f64 (*.f64 1/4 (*.f64 kx ky)) (+.f64 (*.f64 -13/720 (*.f64 (pow.f64 kx 3) ky)) (*.f64 1/2 (/.f64 ky kx)))))
(exp.f64 (log.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(log.f64 (exp.f64 (sin.f64 th)))
(expm1.f64 (log1p.f64 (sin.f64 th)))
(log1p.f64 (expm1.f64 (sin.f64 th)))
(exp.f64 (log.f64 (sin.f64 th)))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(pow.f64 (cbrt.f64 (sin.f64 th)) 3)
(sqrt.f64 (pow.f64 (sin.f64 th) 2))
(cbrt.f64 (pow.f64 (sin.f64 th) 3))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 th))) 1)
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 th 3))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 ky)) (sin.f64 th)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))) 1)
(*.f64 (sin.f64 ky) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 th) ky)) (/.f64 (sin.f64 th) ky)))
(/.f64 (sin.f64 th) (/.f64 (fma.f64 (*.f64 1/2 ky) ky (*.f64 kx (sin.f64 kx))) (*.f64 kx ky)))
(/.f64 (sin.f64 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 (sin.f64 kx))) ky))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (*.f64 -1/6 kx)) ky)))
(/.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 th) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sin.f64 kx))) (+.f64 (*.f64 -1/6 kx) (*.f64 1/36 (pow.f64 kx 3)))) ky))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (+.f64 (*.f64 -13/720 (pow.f64 kx 3)) (+.f64 (*.f64 1/4 kx) (*.f64 1/2 (/.f64 1 kx)))) ky)))
(+.f64 (/.f64 1 (+.f64 (/.f64 1 th) (*.f64 1/6 th))) (*.f64 -1/2 (/.f64 (pow.f64 kx 2) (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (pow.f64 (sin.f64 ky) 2)))))
(+.f64 (/.f64 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))) (*.f64 -1/6 (/.f64 (pow.f64 th 3) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))))
(log1p.f64 (fabs.f64 (expm1.f64 (sin.f64 th))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 th))) 3))
Outputs
(fabs.f64 (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (/.f64 1/2 kx) ky)))
(sin.f64 th)
Calls

7 calls:

303.0ms
kx
195.0ms
(sin.f64 kx)
168.0ms
(sin.f64 th)
135.0ms
th
133.0ms
(sin.f64 ky)
Results
ErrorSegmentsBranch
32.4b8kx
35.7b3ky
43.6b2th
30.5b3(sin.f64 ky)
30.5b3(sin.f64 ky)
33.6b5(sin.f64 kx)
43.4b3(sin.f64 th)
Compiler

Compiled 764 to 382 computations (50% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.1625465948126195e-48
3.685436133022201e-40
0.0ms
-2.461705234623812e-76
-2.680027557467005e-82
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes997.0ms (3.2%)

Counts
33 → 3
Calls
Call 1
Inputs
th
th
(/.f64 1 (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(sin.f64 th)
(*.f64 -1/6 (pow.f64 th 3))
(-.f64 (+.f64 1 (sin.f64 th)) 1)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(/.f64 (sin.f64 th) (*.f64 (/.f64 1/2 kx) ky))
(*.f64 2 (*.f64 (/.f64 kx ky) (sin.f64 th)))
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
(*.f64 2 (*.f64 (/.f64 (sin.f64 th) ky) kx))
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 th 3))) 1)
(*.f64 (*.f64 kx (/.f64 (sin.f64 th) ky)) (-.f64 2 (*.f64 kx kx)))
(/.f64 (sin.f64 th) (+.f64 (/.f64 kx ky) (*.f64 (/.f64 1/2 kx) ky)))
(/.f64 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))
(/.f64 ky (*.f64 (sin.f64 kx) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(/.f64 (sin.f64 th) (+.f64 (*.f64 1/4 (*.f64 kx ky)) (*.f64 1/2 (/.f64 ky kx))))
(fabs.f64 (sin.f64 th))
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 1 (sin.f64 ky)) th))
(/.f64 (sin.f64 ky) (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (*.f64 (+.f64 (/.f64 1 th) (*.f64 1/6 th)) (sin.f64 kx)))
Outputs
(fabs.f64 (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(sin.f64 th)
Calls

9 calls:

218.0ms
kx
143.0ms
(sin.f64 kx)
137.0ms
(sin.f64 kx)
86.0ms
ky
86.0ms
th
Results
ErrorSegmentsBranch
33.9b8kx
35.8b3ky
44.7b2th
30.5b3(sin.f64 ky)
30.5b3(sin.f64 ky)
33.2b8(sin.f64 kx)
33.2b8(sin.f64 kx)
43.4b4(sin.f64 th)
43.4b4(sin.f64 th)
Compiler

Compiled 303 to 153 computations (49.5% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.1625465948126195e-48
3.685436133022201e-40
0.0ms
-2.461705234623812e-76
-2.680027557467005e-82
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes682.0ms (2.2%)

Counts
28 → 3
Calls
Call 1
Inputs
th
th
(/.f64 1 (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(sin.f64 th)
(*.f64 -1/6 (pow.f64 th 3))
(-.f64 (+.f64 1 (sin.f64 th)) 1)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(/.f64 (sin.f64 th) (*.f64 (/.f64 1/2 kx) ky))
(*.f64 2 (*.f64 (/.f64 kx ky) (sin.f64 th)))
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
(*.f64 2 (*.f64 (/.f64 (sin.f64 th) ky) kx))
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 th 3))) 1)
(*.f64 (*.f64 kx (/.f64 (sin.f64 th) ky)) (-.f64 2 (*.f64 kx kx)))
(/.f64 (sin.f64 th) (+.f64 (/.f64 kx ky) (*.f64 (/.f64 1/2 kx) ky)))
(/.f64 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))
(/.f64 ky (*.f64 (sin.f64 kx) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(/.f64 (sin.f64 th) (+.f64 (*.f64 1/4 (*.f64 kx ky)) (*.f64 1/2 (/.f64 ky kx))))
(fabs.f64 (sin.f64 th))
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
Outputs
(fabs.f64 (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(sin.f64 th)
Calls

9 calls:

107.0ms
kx
106.0ms
(sin.f64 kx)
105.0ms
(sin.f64 th)
103.0ms
(sin.f64 kx)
81.0ms
(sin.f64 th)
Results
ErrorSegmentsBranch
33.9b8kx
35.8b3ky
44.7b2th
30.5b3(sin.f64 ky)
30.5b3(sin.f64 ky)
33.2b8(sin.f64 kx)
33.2b8(sin.f64 kx)
43.6b4(sin.f64 th)
43.6b4(sin.f64 th)
Compiler

Compiled 252 to 129 computations (48.8% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.1625465948126195e-48
3.685436133022201e-40
0.0ms
-2.461705234623812e-76
-2.680027557467005e-82
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes534.0ms (1.7%)

Counts
25 → 3
Calls
Call 1
Inputs
th
th
(/.f64 1 (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(sin.f64 th)
(*.f64 -1/6 (pow.f64 th 3))
(-.f64 (+.f64 1 (sin.f64 th)) 1)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(/.f64 (sin.f64 th) (*.f64 (/.f64 1/2 kx) ky))
(*.f64 2 (*.f64 (/.f64 kx ky) (sin.f64 th)))
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
(*.f64 2 (*.f64 (/.f64 (sin.f64 th) ky) kx))
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 th 3))) 1)
(*.f64 (*.f64 kx (/.f64 (sin.f64 th) ky)) (-.f64 2 (*.f64 kx kx)))
(/.f64 (sin.f64 th) (+.f64 (/.f64 kx ky) (*.f64 (/.f64 1/2 kx) ky)))
(/.f64 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))
(/.f64 ky (*.f64 (sin.f64 kx) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(/.f64 (sin.f64 th) (+.f64 (*.f64 1/4 (*.f64 kx ky)) (*.f64 1/2 (/.f64 ky kx))))
(fabs.f64 (sin.f64 th))
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
Outputs
(fabs.f64 (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(sin.f64 th)
Calls

9 calls:

95.0ms
(sin.f64 kx)
93.0ms
kx
90.0ms
(sin.f64 kx)
49.0ms
(sin.f64 th)
49.0ms
(sin.f64 th)
Results
ErrorSegmentsBranch
33.9b8kx
35.8b3ky
44.7b2th
30.5b3(sin.f64 ky)
30.5b3(sin.f64 ky)
33.2b8(sin.f64 kx)
33.2b8(sin.f64 kx)
43.6b4(sin.f64 th)
43.6b4(sin.f64 th)
Compiler

Compiled 231 to 127 computations (45% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.1625465948126195e-48
3.685436133022201e-40
0.0ms
-2.461705234623812e-76
-2.680027557467005e-82
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes530.0ms (1.7%)

Counts
22 → 3
Calls
Call 1
Inputs
th
th
(/.f64 1 (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(sin.f64 th)
(*.f64 -1/6 (pow.f64 th 3))
(-.f64 (+.f64 1 (sin.f64 th)) 1)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(/.f64 (sin.f64 th) (*.f64 (/.f64 1/2 kx) ky))
(*.f64 2 (*.f64 (/.f64 kx ky) (sin.f64 th)))
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
(*.f64 2 (*.f64 (/.f64 (sin.f64 th) ky) kx))
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 th 3))) 1)
(*.f64 (*.f64 kx (/.f64 (sin.f64 th) ky)) (-.f64 2 (*.f64 kx kx)))
(/.f64 (sin.f64 th) (+.f64 (/.f64 kx ky) (*.f64 (/.f64 1/2 kx) ky)))
(/.f64 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))
(/.f64 ky (*.f64 (sin.f64 kx) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(/.f64 (sin.f64 th) (+.f64 (*.f64 1/4 (*.f64 kx ky)) (*.f64 1/2 (/.f64 ky kx))))
(fabs.f64 (sin.f64 th))
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 th (sin.f64 ky)))
Outputs
(fabs.f64 (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(sin.f64 th)
Calls

9 calls:

88.0ms
(sin.f64 kx)
86.0ms
(sin.f64 kx)
82.0ms
kx
63.0ms
ky
49.0ms
th
Results
ErrorSegmentsBranch
33.9b8kx
36.2b3ky
44.9b2th
31.0b3(sin.f64 ky)
31.0b3(sin.f64 ky)
33.2b8(sin.f64 kx)
33.2b8(sin.f64 kx)
43.6b4(sin.f64 th)
43.6b4(sin.f64 th)
Compiler

Compiled 210 to 125 computations (40.5% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.1625465948126195e-48
3.685436133022201e-40
0.0ms
-2.461705234623812e-76
-2.680027557467005e-82
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes406.0ms (1.3%)

Counts
20 → 7
Calls
Call 1
Inputs
th
th
(/.f64 1 (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(sin.f64 th)
(*.f64 -1/6 (pow.f64 th 3))
(-.f64 (+.f64 1 (sin.f64 th)) 1)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(/.f64 (sin.f64 th) (*.f64 (/.f64 1/2 kx) ky))
(*.f64 2 (*.f64 (/.f64 kx ky) (sin.f64 th)))
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
(*.f64 2 (*.f64 (/.f64 (sin.f64 th) ky) kx))
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 th 3))) 1)
(*.f64 (*.f64 kx (/.f64 (sin.f64 th) ky)) (-.f64 2 (*.f64 kx kx)))
(/.f64 (sin.f64 th) (+.f64 (/.f64 kx ky) (*.f64 (/.f64 1/2 kx) ky)))
(/.f64 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))
(/.f64 ky (*.f64 (sin.f64 kx) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(/.f64 (sin.f64 th) (+.f64 (*.f64 1/4 (*.f64 kx ky)) (*.f64 1/2 (/.f64 ky kx))))
(fabs.f64 (sin.f64 th))
(pow.f64 (*.f64 th (cbrt.f64 -1/6)) 3)
Outputs
(sin.f64 th)
(/.f64 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))
(fabs.f64 (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 (/.f64 kx ky) (*.f64 (/.f64 1/2 kx) ky)))
(sin.f64 th)
(fabs.f64 (sin.f64 th))
(sin.f64 th)
Calls

7 calls:

80.0ms
(sin.f64 kx)
78.0ms
kx
77.0ms
(sin.f64 kx)
71.0ms
ky
32.0ms
th
Results
ErrorSegmentsBranch
38.7b8kx
37.9b7ky
44.6b3th
38.1b8(sin.f64 kx)
38.1b8(sin.f64 kx)
44.9b3(sin.f64 th)
44.9b3(sin.f64 th)
Compiler

Compiled 186 to 112 computations (39.8% saved)

bsearch1.2s (3.9%)

Algorithm
6×binary-search
Steps
TimeLeftRight
397.0ms
5.461917350554937e+207
5.891654097114288e+208
223.0ms
1.866124329417162e+77
2.8943098724758645e+87
141.0ms
1.501651687734702e-163
1.6568922369488168e-143
145.0ms
-5.7878754234540105e-164
-1.752256907877035e-164
145.0ms
-4.095199025788004e-157
-4.449389120215968e-161
165.0ms
-219.7734271665244
-1.8807256742897666e-10
Compiler

Compiled 25 to 19 computations (24% saved)

regimes278.0ms (0.9%)

Counts
18 → 3
Calls
Call 1
Inputs
th
th
(/.f64 1 (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(sin.f64 th)
(*.f64 -1/6 (pow.f64 th 3))
(-.f64 (+.f64 1 (sin.f64 th)) 1)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(/.f64 (sin.f64 th) (*.f64 (/.f64 1/2 kx) ky))
(*.f64 2 (*.f64 (/.f64 kx ky) (sin.f64 th)))
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
(*.f64 2 (*.f64 (/.f64 (sin.f64 th) ky) kx))
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 th 3))) 1)
(*.f64 (*.f64 kx (/.f64 (sin.f64 th) ky)) (-.f64 2 (*.f64 kx kx)))
(/.f64 (sin.f64 th) (+.f64 (/.f64 kx ky) (*.f64 (/.f64 1/2 kx) ky)))
(/.f64 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx))))
(/.f64 ky (*.f64 (sin.f64 kx) (+.f64 (/.f64 1 th) (*.f64 1/6 th))))
(/.f64 (sin.f64 th) (+.f64 (*.f64 1/4 (*.f64 kx ky)) (*.f64 1/2 (/.f64 ky kx))))
Outputs
(sin.f64 th)
(/.f64 (sin.f64 th) (+.f64 (/.f64 kx ky) (*.f64 (/.f64 1/2 kx) ky)))
(sin.f64 th)
Calls

7 calls:

52.0ms
(sin.f64 kx)
51.0ms
(sin.f64 kx)
47.0ms
kx
35.0ms
(sin.f64 th)
29.0ms
th
Results
ErrorSegmentsBranch
41.5b5kx
40.5b3ky
44.9b3th
41.0b5(sin.f64 kx)
41.0b5(sin.f64 kx)
44.9b3(sin.f64 th)
44.9b3(sin.f64 th)
Compiler

Compiled 177 to 106 computations (40.1% saved)

bsearch307.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
153.0ms
1.501651687734702e-163
1.6568922369488168e-143
154.0ms
-219.7734271665244
-1.8807256742897666e-10
Compiler

Compiled 25 to 19 computations (24% saved)

regimes107.0ms (0.3%)

Counts
14 → 3
Calls
Call 1
Inputs
th
th
(/.f64 1 (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(sin.f64 th)
(*.f64 -1/6 (pow.f64 th 3))
(-.f64 (+.f64 1 (sin.f64 th)) 1)
(+.f64 (*.f64 -1/6 (pow.f64 th 3)) th)
(/.f64 (sin.f64 th) (*.f64 (/.f64 1/2 kx) ky))
(*.f64 2 (*.f64 (/.f64 kx ky) (sin.f64 th)))
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
(*.f64 2 (*.f64 (/.f64 (sin.f64 th) ky) kx))
(*.f64 2 (/.f64 (*.f64 (sin.f64 th) kx) ky))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 th 3))) 1)
(*.f64 (*.f64 kx (/.f64 (sin.f64 th) ky)) (-.f64 2 (*.f64 kx kx)))
Outputs
(sin.f64 th)
(-.f64 (+.f64 1 (sin.f64 th)) 1)
(sin.f64 th)
Calls

4 calls:

49.0ms
kx
22.0ms
ky
16.0ms
th
16.0ms
(sin.f64 th)
Results
ErrorSegmentsBranch
43.8b3kx
43.1b3ky
46.6b2th
46.6b2(sin.f64 th)
Compiler

Compiled 112 to 68 computations (39.3% saved)

bsearch384.0ms (1.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
232.0ms
3.790320758224962e-113
7.057168766946412e-113
152.0ms
-219.7734271665244
-1.8807256742897666e-10
Compiler

Compiled 25 to 19 computations (24% saved)

regimes77.0ms (0.2%)

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

4 calls:

38.0ms
ky
15.0ms
(sin.f64 th)
12.0ms
th
8.0ms
kx
Results
ErrorSegmentsBranch
46.6b2kx
44.4b3ky
45.6b3th
45.6b3(sin.f64 th)
Compiler

Compiled 38 to 28 computations (26.3% saved)

bsearch345.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
177.0ms
9.536693539020358e-244
6.329565790792764e-232
168.0ms
-219.7734271665244
-1.8807256742897666e-10
Compiler

Compiled 25 to 19 computations (24% saved)

regimes19.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
th
th
(/.f64 1 (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(sin.f64 th)
Outputs
(sin.f64 th)
Calls

4 calls:

5.0ms
th
4.0ms
(sin.f64 th)
4.0ms
kx
4.0ms
ky
Results
ErrorSegmentsBranch
47.9b1kx
47.9b1ky
47.9b1th
47.9b1(sin.f64 th)
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes14.0ms (0%)

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

3 calls:

5.0ms
kx
4.0ms
th
4.0ms
ky
Results
ErrorSegmentsBranch
54.7b1kx
54.7b1ky
54.7b1th
Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes11.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
th
th
Outputs
th
Calls

3 calls:

3.0ms
ky
3.0ms
th
3.0ms
kx
Results
ErrorSegmentsBranch
55.2b1kx
55.2b1ky
55.2b1th
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify22.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
10×*-commutative_binary64
6×+-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107563
1127563
2128563
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 (sin.f64 th) -5764607523034235/288230376151711744) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 th) 3602879701896397/72057594037927936) (/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (+.f64 (/.f64 1 th) (*.f64 1/6 th)))) (if (<=.f64 (sin.f64 th) 8376695306909123/9007199254740992) (sin.f64 th) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))))
(if (<=.f64 (sin.f64 th) -5764607523034235/288230376151711744) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 th) 5764607523034235/576460752303423488) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (if (<=.f64 (sin.f64 th) 8376695306909123/9007199254740992) (sin.f64 th) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))))
(if (<=.f64 (sin.f64 ky) -6518515124270355/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 4113761393303015/822752278660603021077484591278675252491367932816789931674304512) (/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (/.f64 1/2 kx) ky))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -6518515124270355/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 4113761393303015/822752278660603021077484591278675252491367932816789931674304512) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -6518515124270355/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 4113761393303015/822752278660603021077484591278675252491367932816789931674304512) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -6518515124270355/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 4113761393303015/822752278660603021077484591278675252491367932816789931674304512) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -6518515124270355/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 4113761393303015/822752278660603021077484591278675252491367932816789931674304512) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (sin.f64 th)))
(if (<=.f64 ky -3866295018332407/17592186044416) (sin.f64 th) (if (<=.f64 ky -6330420119752585/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696) (/.f64 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))) (if (<=.f64 ky -3752637371932201/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584) (fabs.f64 (sin.f64 th)) (if (<=.f64 ky 4868068013509035/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792) (/.f64 (sin.f64 th) (+.f64 (/.f64 kx ky) (*.f64 (/.f64 1/2 kx) ky))) (if (<=.f64 ky 186612432941716207668931186177297709257064294217511108895483491295771047755776) (sin.f64 th) (if (<=.f64 ky 5461917350554936788609054634060505363908425348475433087111789969795866745524737160484140955555057504153947277091949103337684444780594118666934591024821757010570884997109995425076535377960169224242457485508608) (fabs.f64 (sin.f64 th)) (sin.f64 th)))))))
(if (<=.f64 ky -3866295018332407/17592186044416) (sin.f64 th) (if (<=.f64 ky 4868068013509035/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792) (/.f64 (sin.f64 th) (+.f64 (/.f64 kx ky) (*.f64 (/.f64 1/2 kx) ky))) (sin.f64 th)))
(if (<=.f64 ky -3866295018332407/17592186044416) (sin.f64 th) (if (<=.f64 ky 6568317185829613/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864) (-.f64 (+.f64 1 (sin.f64 th)) 1) (sin.f64 th)))
(if (<=.f64 ky -3866295018332407/17592186044416) (sin.f64 th) (if (<=.f64 ky 7331521252899675/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976) (*.f64 -1/6 (pow.f64 th 3)) (sin.f64 th)))
(sin.f64 th)
(/.f64 1 (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
th
Outputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 (sin.f64 th) -5764607523034235/288230376151711744) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 th) 3602879701896397/72057594037927936) (/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (+.f64 (/.f64 1 th) (*.f64 1/6 th)))) (if (<=.f64 (sin.f64 th) 8376695306909123/9007199254740992) (sin.f64 th) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))))
(if (<=.f64 (sin.f64 th) -5764607523034235/288230376151711744) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 th) 3602879701896397/72057594037927936) (/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (+.f64 (/.f64 1 th) (*.f64 th 1/6)))) (if (<=.f64 (sin.f64 th) 8376695306909123/9007199254740992) (sin.f64 th) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))))
(if (<=.f64 (sin.f64 th) -5764607523034235/288230376151711744) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 th) 5764607523034235/576460752303423488) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (if (<=.f64 (sin.f64 th) 8376695306909123/9007199254740992) (sin.f64 th) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))))
(if (<=.f64 (sin.f64 th) -5764607523034235/288230376151711744) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) (if (<=.f64 (sin.f64 th) 5764607523034235/576460752303423488) (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 th) 8376695306909123/9007199254740992) (sin.f64 th) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))))))
(if (<=.f64 (sin.f64 ky) -6518515124270355/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 4113761393303015/822752278660603021077484591278675252491367932816789931674304512) (/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 (/.f64 1/2 kx) ky))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -6518515124270355/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 4113761393303015/822752278660603021077484591278675252491367932816789931674304512) (/.f64 (sin.f64 th) (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 ky (/.f64 1/2 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -6518515124270355/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 4113761393303015/822752278660603021077484591278675252491367932816789931674304512) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -6518515124270355/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 4113761393303015/822752278660603021077484591278675252491367932816789931674304512) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -6518515124270355/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 4113761393303015/822752278660603021077484591278675252491367932816789931674304512) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -6518515124270355/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 4113761393303015/822752278660603021077484591278675252491367932816789931674304512) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -6518515124270355/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 4113761393303015/822752278660603021077484591278675252491367932816789931674304512) (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) -6518515124270355/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) (fabs.f64 (sin.f64 th)) (if (<=.f64 (sin.f64 ky) 4113761393303015/822752278660603021077484591278675252491367932816789931674304512) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) (sin.f64 th)))
(if (<=.f64 ky -3866295018332407/17592186044416) (sin.f64 th) (if (<=.f64 ky -6330420119752585/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696) (/.f64 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))) (if (<=.f64 ky -3752637371932201/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584) (fabs.f64 (sin.f64 th)) (if (<=.f64 ky 4868068013509035/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792) (/.f64 (sin.f64 th) (+.f64 (/.f64 kx ky) (*.f64 (/.f64 1/2 kx) ky))) (if (<=.f64 ky 186612432941716207668931186177297709257064294217511108895483491295771047755776) (sin.f64 th) (if (<=.f64 ky 5461917350554936788609054634060505363908425348475433087111789969795866745524737160484140955555057504153947277091949103337684444780594118666934591024821757010570884997109995425076535377960169224242457485508608) (fabs.f64 (sin.f64 th)) (sin.f64 th)))))))
(if (<=.f64 ky -3866295018332407/17592186044416) (sin.f64 th) (if (<=.f64 ky -6330420119752585/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696) (/.f64 th (+.f64 (/.f64 (sin.f64 kx) ky) (*.f64 1/2 (/.f64 ky kx)))) (if (<=.f64 ky -3752637371932201/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584) (fabs.f64 (sin.f64 th)) (if (<=.f64 ky 4868068013509035/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792) (/.f64 (sin.f64 th) (+.f64 (*.f64 ky (/.f64 1/2 kx)) (/.f64 kx ky))) (if (<=.f64 ky 186612432941716207668931186177297709257064294217511108895483491295771047755776) (sin.f64 th) (if (<=.f64 ky 5461917350554936788609054634060505363908425348475433087111789969795866745524737160484140955555057504153947277091949103337684444780594118666934591024821757010570884997109995425076535377960169224242457485508608) (fabs.f64 (sin.f64 th)) (sin.f64 th)))))))
(if (<=.f64 ky -3866295018332407/17592186044416) (sin.f64 th) (if (<=.f64 ky 4868068013509035/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792) (/.f64 (sin.f64 th) (+.f64 (/.f64 kx ky) (*.f64 (/.f64 1/2 kx) ky))) (sin.f64 th)))
(if (<=.f64 ky -3866295018332407/17592186044416) (sin.f64 th) (if (<=.f64 ky 4868068013509035/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792) (/.f64 (sin.f64 th) (+.f64 (*.f64 ky (/.f64 1/2 kx)) (/.f64 kx ky))) (sin.f64 th)))
(if (<=.f64 ky -3866295018332407/17592186044416) (sin.f64 th) (if (<=.f64 ky 6568317185829613/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864) (-.f64 (+.f64 1 (sin.f64 th)) 1) (sin.f64 th)))
(if (<=.f64 ky -3866295018332407/17592186044416) (sin.f64 th) (if (<=.f64 ky 6568317185829613/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864) (+.f64 (+.f64 (sin.f64 th) 1) -1) (sin.f64 th)))
(if (<=.f64 ky -3866295018332407/17592186044416) (sin.f64 th) (if (<=.f64 ky 7331521252899675/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976) (*.f64 -1/6 (pow.f64 th 3)) (sin.f64 th)))
(sin.f64 th)
(/.f64 1 (+.f64 (/.f64 1 th) (*.f64 1/6 th)))
(/.f64 1 (+.f64 (/.f64 1 th) (*.f64 th 1/6)))
th
Compiler

Compiled 409 to 239 computations (41.6% saved)

soundness0.0ms (0%)

end137.0ms (0.4%)

Compiler

Compiled 364 to 151 computations (58.5% saved)

Profiling

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