Toniolo and Linder, Equation (3a)

Time bar (total: 10.8s)

analyze173.0ms (1.6%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
50%49.9%49.9%0.2%0%0%0%3
50%49.9%49.9%0.2%0%0%0%4
50%49.9%49.9%0.2%0%0%0%5
50%49.9%49.9%0.2%0%0%0%6
75%74.9%25%0.2%0%0%0%7
75%74.9%25%0.2%0%0%0%8
75%74.9%25%0.2%0%0%0%9
75%74.9%25%0.2%0%0%0%10
87.5%87.3%12.5%0.2%0%0%0%11
87.5%87.3%12.5%0.2%0%0%0%12
Compiler

Compiled 34 to 23 computations (32.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-sin: 28.0ms (25.1% of total)
ival-pow: 28.0ms (25.1% of total)
ival-mult: 15.0ms (13.4% of total)
ival-div: 14.0ms (12.5% of total)
ival-add: 14.0ms (12.5% of total)
ival-sqrt: 11.0ms (9.9% of total)
const: 1.0ms (0.9% of total)
backward-pass: 0.0ms (0% of total)

sample2.8s (26.3%)

Results
2.4s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.0s
ival-sin: 509.0ms (25.5% of total)
ival-pow: 501.0ms (25.1% of total)
ival-add: 357.0ms (17.9% of total)
ival-div: 258.0ms (12.9% of total)
ival-mult: 187.0ms (9.4% of total)
ival-sqrt: 168.0ms (8.4% of total)
const: 15.0ms (0.8% of total)
backward-pass: 2.0ms (0.1% of total)
Bogosity

preprocess333.0ms (3.1%)

Algorithm
egg-herbie
Rules
560×associate-*r*
549×associate-*l*
491×distribute-lft-neg-out
423×distribute-rgt-neg-out
381×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01421552
13561376
29681376
342701376
Stop Event
node limit
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 l)) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (neg.f64 Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 (neg.f64 kx)) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 (neg.f64 ky)) #s(literal 2 binary64))))))))))
(neg.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 l)) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))
(neg.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (neg.f64 Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))
(neg.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 (neg.f64 kx)) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))
(neg.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 (neg.f64 ky)) #s(literal 2 binary64)))))))))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) Om) l) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) kx) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 l) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) ky) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 l) #s(literal 2 binary64))))))))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) kx) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 Om) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) ky) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 Om) #s(literal 2 binary64))))))))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))))))
Outputs
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 l)) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (neg.f64 Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 (neg.f64 kx)) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 (neg.f64 ky)) #s(literal 2 binary64))))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))))))
(neg.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 l)) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))
(neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 l) Om)) #s(literal 2 binary64))))))))))
(neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)))))))
(neg.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (neg.f64 Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))
(neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 l) Om)) #s(literal 2 binary64))))))))))
(neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)))))))
(neg.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 (neg.f64 kx)) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))
(neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 l) Om)) #s(literal 2 binary64))))))))))
(neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)))))))
(neg.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 (neg.f64 ky)) #s(literal 2 binary64)))))))))))
(neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 l) Om)) #s(literal 2 binary64))))))))))
(neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)))))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) Om) l) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 Om l)) #s(literal 2 binary64)))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 Om l)) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) kx) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 l) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 kx Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 l) #s(literal 2 binary64))))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 kx Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 l) #s(literal 2 binary64))) #s(literal 1 binary64))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 kx (/.f64 #s(literal 2 binary64) Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 l) #s(literal 2 binary64))) #s(literal 1 binary64))))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) ky) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 l) #s(literal 2 binary64))))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) ky) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 l) #s(literal 2 binary64))))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 ky (/.f64 #s(literal 2 binary64) Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 l) #s(literal 2 binary64))) #s(literal 1 binary64))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 ky Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 l) #s(literal 2 binary64))) #s(literal 1 binary64))))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) kx) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 Om) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) kx) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 Om) #s(literal 2 binary64))))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l kx)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 Om) #s(literal 2 binary64))) #s(literal 1 binary64))))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) ky) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 Om) #s(literal 2 binary64))))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l ky)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 Om) #s(literal 2 binary64))))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l ky)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 Om) #s(literal 2 binary64))) #s(literal 1 binary64))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 l (/.f64 #s(literal 2 binary64) ky)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 Om) #s(literal 2 binary64))) #s(literal 1 binary64))))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))))))
Symmetry

(abs l)

(abs Om)

(abs kx)

(abs ky)

(sort kx ky)

explain413.0ms (3.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
390-0-(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
101(4.052019189681119e+120 4.946973702611826e+67 1.011523806054145e-228 2.2284260194611588e-215)0-(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
11(8.687077985701162e+297 9.162395181716129e-197 7.912292903470367e-173 1.4573275925526875e-172)0-(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
00-0-(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
00-0-Om
00-0-(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
00-0-#s(literal 1 binary64)
00-0-(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
00-0-(*.f64 #s(literal 2 binary64) l)
00-0-(sin.f64 ky)
00-0-(/.f64 (*.f64 #s(literal 2 binary64) l) Om)
00-0-kx
00-0-ky
00-0-(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
00-0-(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
00-0-(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))
00-0-(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
00-0-(sin.f64 kx)
00-0-#s(literal 2 binary64)
00-0-(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
00-0-l
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))oflow-rescue390
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))overflow21
(/.f64 (*.f64 #s(literal 2 binary64) l) Om)overflow23
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))overflow60
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))overflow60
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))overflow67
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))n*o30
Confusion
Predicted +Predicted -
+16
-41208
Precision
0.023809523809523808
Recall
0.14285714285714285
Confusion?
Predicted +Predicted MaybePredicted -
+106
-410208
Precision?
0.023809523809523808
Recall?
0.14285714285714285
Freqs
test
numberfreq
0214
142
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Results
132.0ms512×0valid
Compiler

Compiled 484 to 90 computations (81.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-sin: 24.0ms (28.1% of total)
ival-pow: 20.0ms (23.4% of total)
ival-div: 13.0ms (15.2% of total)
ival-mult: 10.0ms (11.7% of total)
ival-add: 9.0ms (10.5% of total)
ival-sqrt: 7.0ms (8.2% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 55 to 27 computations (50.9% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
97.6%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
Compiler

Compiled 31 to 22 computations (29% saved)

simplify130.0ms (1.2%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 l Om)
cost-diff0
(*.f64 #s(literal 2 binary64) (/.f64 l Om))
cost-diff0
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64))
cost-diff0
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
Rules
765×fma-define
713×distribute-lft-in
695×distribute-rgt-in
438×associate-/l*
399×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030690
154666
2125666
3502666
41802666
53590666
64568666
74883666
85400666
96556666
Stop Event
node limit
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
#s(literal 1 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 l Om))
#s(literal 2 binary64)
(/.f64 l Om)
l
Om
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin.f64 kx)
kx
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin.f64 ky)
ky
Outputs
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 l (/.f64 #s(literal 2 binary64) Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 l (/.f64 #s(literal 2 binary64) Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 l (/.f64 #s(literal 2 binary64) Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 l (/.f64 #s(literal 2 binary64) Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(literal 1 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(sqrt.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (pow.f64 (*.f64 l (/.f64 #s(literal 2 binary64) Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (*.f64 l (/.f64 #s(literal 2 binary64) Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 l (/.f64 #s(literal 2 binary64) Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))
(pow.f64 (*.f64 l (/.f64 #s(literal 2 binary64) Om)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 l Om))
(/.f64 (*.f64 #s(literal 2 binary64) l) Om)
(*.f64 l (/.f64 #s(literal 2 binary64) Om))
#s(literal 2 binary64)
(/.f64 l Om)
l
Om
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin.f64 kx)
kx
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin.f64 ky)
ky

localize109.0ms (1%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
accuracy99.5%
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
accuracy96.2%
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
accuracy85.7%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
Results
78.0ms256×0valid
Compiler

Compiled 203 to 23 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-sin: 20.0ms (37.6% of total)
ival-mult: 8.0ms (15% of total)
ival-pow: 8.0ms (15% of total)
ival-div: 6.0ms (11.3% of total)
ival-sqrt: 6.0ms (11.3% of total)
ival-add: 4.0ms (7.5% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series223.0ms (2.1%)

Counts
7 → 172
Calls
Call 1
Inputs
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 l Om))>
#<alt (/.f64 l Om)>
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
Outputs
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64)))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4/3 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 Om #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64)))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 Om #s(literal 2 binary64)))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4/3 binary64) (/.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 Om #s(literal 2 binary64)))) (*.f64 #s(literal 8/45 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64)))))>
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#<alt (*.f64 Om (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (pow.f64 Om #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 3/256 binary64) (*.f64 (/.f64 (pow.f64 Om #s(literal 2 binary64)) (pow.f64 l #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))))))>
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binary64) (/.f64 (pow.f64 l #s(literal 2 binary64)) (*.f64 (pow.f64 Om #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64))))) #s(literal 2 binary64))))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64))))) #s(literal 3 binary64)))))))) (*.f64 (pow.f64 Om #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64)))))))) (*.f64 #s(literal 16/3 binary64) (/.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64))))) #s(literal 3 binary64))))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64)))))))))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64)))))))>
Calls

57 calls:

TimeVariablePointExpression
144.0ms
ky
@0
(/ 1 (sqrt (+ 1 (* (pow (* 2 (/ l Om)) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
7.0ms
Om
@0
(* (pow (* 2 (/ l Om)) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))
4.0ms
ky
@0
(sqrt (+ 1 (* (pow (* 2 (/ l Om)) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
4.0ms
kx
@0
(/ 1 (sqrt (+ 1 (* (pow (* 2 (/ l Om)) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
3.0ms
l
@-inf
(/ l Om)

rewrite320.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
1106×log1p-expm1-u
789×expm1-log1p-u
162×add-cube-cbrt
161×add-exp-log
161×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026286
1379230
25024230
Stop Event
node limit
Counts
7 → 187
Calls
Call 1
Inputs
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 l Om))
(/.f64 l Om)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
Outputs
(+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (sin.f64 ky)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 kx) (/.f64 #s(literal 2 binary64) (/.f64 Om l))) #s(literal 2 binary64)))
(+.f64 (pow.f64 (*.f64 (sin.f64 kx) (/.f64 #s(literal 2 binary64) (/.f64 Om l))) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (sin.f64 ky)) #s(literal 2 binary64)))
(+.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 kx) (/.f64 #s(literal 2 binary64) (/.f64 Om l))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 kx) (/.f64 #s(literal 2 binary64) (/.f64 Om l))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 kx) (/.f64 #s(literal 2 binary64) (/.f64 Om l))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 kx) (/.f64 #s(literal 2 binary64) (/.f64 Om l))) #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (sin.f64 ky)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (sin.f64 ky)) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (sin.f64 kx) (/.f64 #s(literal 2 binary64) (/.f64 Om l))) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (sin.f64 ky)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 kx) (/.f64 #s(literal 2 binary64) (/.f64 Om l))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 kx) (/.f64 #s(literal 2 binary64) (/.f64 Om l))) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (sin.f64 ky)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (sin.f64 ky)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (sin.f64 kx) (/.f64 #s(literal 2 binary64) (/.f64 Om l))) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (sin.f64 ky)) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (sin.f64 ky)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (sin.f64 ky)) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (/.f64 #s(literal 2 binary64) (/.f64 Om l))))
(*.f64 (/.f64 l Om) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (/.f64 Om l))))
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (/.f64 #s(literal 2 binary64) (/.f64 Om l)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 l Om) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 l Om) #s(literal 2 binary64)) #s(literal 4 binary64))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l))) (/.f64 #s(literal 2 binary64) (/.f64 Om l))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l))) (/.f64 #s(literal 2 binary64) (/.f64 Om l))))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l))))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) #s(literal 2 binary64)) (/.f64 l Om))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (/.f64 l Om)) #s(literal 2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 #s(literal 2 binary64) l)) (pow.f64 Om #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (*.f64 #s(literal 2 binary64) l)) Om)
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 #s(literal 2 binary64) (/.f64 Om l))) Om)
(sqrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 Om l))
(/.f64 #s(literal 1 binary64) (/.f64 Om (*.f64 #s(literal 2 binary64) l)))
(/.f64 (*.f64 #s(literal 2 binary64) l) Om)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) l)) (neg.f64 Om))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 l)) (neg.f64 Om))
(/.f64 (*.f64 (neg.f64 l) #s(literal 2 binary64)) (neg.f64 Om))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)) Om)
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (pow.f64 (cbrt.f64 Om) #s(literal 2 binary64))) (cbrt.f64 Om))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (sqrt.f64 Om)) (sqrt.f64 Om))
(pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) #s(literal 2 binary64)))
(fabs.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 l Om)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l))))
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 l Om))) #s(literal 1 binary64))
(*.f64 l (/.f64 #s(literal 1 binary64) Om))
(*.f64 (/.f64 l Om) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 l Om))
(*.f64 (cbrt.f64 (/.f64 l Om)) (pow.f64 (cbrt.f64 (/.f64 l Om)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 l Om)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 l Om)))
(*.f64 (pow.f64 (cbrt.f64 l) #s(literal 2 binary64)) (/.f64 (cbrt.f64 l) Om))
(*.f64 (pow.f64 (cbrt.f64 l) #s(literal 2 binary64)) (*.f64 (cbrt.f64 l) (/.f64 #s(literal 1 binary64) Om)))
(*.f64 (sqrt.f64 (/.f64 l Om)) (sqrt.f64 (/.f64 l Om)))
(*.f64 (sqrt.f64 l) (/.f64 (sqrt.f64 l) Om))
(*.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (/.f64 #s(literal 1 binary64) Om)))
(*.f64 (neg.f64 l) (/.f64 #s(literal 1 binary64) (neg.f64 Om)))
(*.f64 (/.f64 #s(literal 1 binary64) Om) l)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 Om) #s(literal 2 binary64))) (/.f64 l (cbrt.f64 Om)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 Om)) (/.f64 l (sqrt.f64 Om)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 l) Om))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 l) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 Om) #s(literal 2 binary64))) (cbrt.f64 (/.f64 l Om)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 l) #s(literal 2 binary64)) (sqrt.f64 Om)) (/.f64 (cbrt.f64 l) (sqrt.f64 Om)))
(*.f64 (/.f64 (sqrt.f64 l) #s(literal 1 binary64)) (/.f64 (sqrt.f64 l) Om))
(*.f64 (/.f64 (sqrt.f64 l) (pow.f64 (cbrt.f64 Om) #s(literal 2 binary64))) (/.f64 (sqrt.f64 l) (cbrt.f64 Om)))
(pow.f64 (/.f64 l Om) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 l Om)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (/.f64 l Om)) #s(literal 2 binary64))
(pow.f64 (/.f64 Om l) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 l Om) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (/.f64 l (neg.f64 Om)))
(neg.f64 (/.f64 (neg.f64 l) Om))
(sqrt.f64 (pow.f64 (/.f64 l Om) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 l Om)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 l Om))))
(cbrt.f64 (pow.f64 (/.f64 l Om) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 Om #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 l Om)))
(log1p.f64 (expm1.f64 (/.f64 l Om)))
(exp.f64 (log.f64 (/.f64 l Om)))
(exp.f64 (*.f64 (log.f64 (/.f64 l Om)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (/.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1 binary64))
(/.f64 (neg.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64))))))
(pow.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 2 binary64))
(fabs.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(log.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(log1p.f64 (expm1.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(exp.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 1 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sin.f64 ky) (sin.f64 ky))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 ky)) (sin.f64 ky)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 ky)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky ky)) (cos.f64 (+.f64 ky ky))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal -1 binary64)))
(pow.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
(exp.f64 (neg.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) #s(literal 1 binary64)))

simplify506.0ms (4.7%)

Algorithm
egg-herbie
Rules
580×fma-define
319×distribute-lft-in
318×distribute-rgt-in
287×*-commutative
284×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
086830865
1242528051
2680928033
Stop Event
node limit
Counts
359 → 425
Calls
Call 1
Inputs
(*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal -1 binary64)))
(pow.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
(exp.f64 (neg.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 l #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64)))))
(*.f64 #s(literal 4 binary64) (*.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 (/.f64 l Om) #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 l #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64)))))
(*.f64 #s(literal 4 binary64) (*.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 (/.f64 l Om) #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 l #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64)))))
(*.f64 #s(literal 4 binary64) (*.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 (/.f64 l Om) #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 l #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64)))))
(*.f64 #s(literal 4 binary64) (*.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 (/.f64 l Om) #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 l #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64)))))
(*.f64 #s(literal 4 binary64) (*.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 (/.f64 l Om) #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 l #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64)))))
(*.f64 #s(literal 4 binary64) (*.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 (/.f64 l Om) #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 l #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64)))))
(*.f64 #s(literal 4 binary64) (*.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 (/.f64 l Om) #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 l #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64)))))
(*.f64 #s(literal 4 binary64) (*.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 (/.f64 l Om) #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 l #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64)))))
(*.f64 #s(literal 4 binary64) (*.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 (/.f64 l Om) #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 l #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64)))))
(*.f64 #s(literal 4 binary64) (*.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 (/.f64 l Om) #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 l #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64)))))
(*.f64 #s(literal 4 binary64) (*.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 (/.f64 l Om) #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 l #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64)))))
(*.f64 #s(literal 4 binary64) (*.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 (/.f64 l Om) #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 l #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64)))))
(*.f64 #s(literal 4 binary64) (*.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 (/.f64 l Om) #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 l #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64)))))
(*.f64 #s(literal 4 binary64) (*.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 (/.f64 l Om) #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 l #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64)))))
(*.f64 #s(literal 4 binary64) (*.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 (/.f64 l Om) #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 l #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64)))))
(*.f64 #s(literal 4 binary64) (*.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 (/.f64 l Om) #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 l #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64)))))
(*.f64 #s(literal 4 binary64) (*.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 (/.f64 l Om) #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 l #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64)))))
(*.f64 #s(literal 4 binary64) (*.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 (/.f64 l Om) #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 l #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 Om #s(literal 2 binary64)))))
(*.f64 #s(literal 4 binary64) (*.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 (/.f64 l Om) #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 Om #s(literal 2 binary64))))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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(/.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal -2 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (/.f64 #s(literal 2 binary64) Om) l))) #s(literal -2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (/.f64 #s(literal 2 binary64) Om) l)))))
(/.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal -2 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))))
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (/.f64 #s(literal 2 binary64) Om) l))))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (/.f64 #s(literal 2 binary64) Om) l))))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (/.f64 #s(literal 2 binary64) Om) l))))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(pow.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (/.f64 #s(literal 2 binary64) Om) l)) #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (/.f64 #s(literal 2 binary64) Om) l))))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (/.f64 #s(literal 2 binary64) Om) l))))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (/.f64 #s(literal 2 binary64) Om) l))))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (/.f64 #s(literal 2 binary64) Om) l))))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (/.f64 #s(literal 2 binary64) Om) l))))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (/.f64 #s(literal 2 binary64) Om) l))))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (/.f64 #s(literal 2 binary64) Om) l))))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (/.f64 #s(literal 2 binary64) Om) l))))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (/.f64 #s(literal 2 binary64) Om) l))))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (/.f64 #s(literal 2 binary64) Om) l))))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (/.f64 #s(literal 2 binary64) Om) l))))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (/.f64 #s(literal 2 binary64) Om) l))))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(exp.f64 (neg.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (/.f64 #s(literal 2 binary64) Om) l))))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (/.f64 #s(literal 2 binary64) Om) l))))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 Om l)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (/.f64 #s(literal 2 binary64) Om) l))))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))

eval78.0ms (0.7%)

Compiler

Compiled 21937 to 3867 computations (82.4% saved)

prune109.0ms (1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New4232425
Fresh000
Picked101
Done000
Total4242426
Accuracy
100.0%
Counts
426 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.0%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))
63.1%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))
Compiler

Compiled 34 to 27 computations (20.6% saved)

simplify46.0ms (0.4%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
cost-diff128
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
cost-diff256
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
cost-diff128
(/.f64 #s(literal 1 binary64) #s(literal 1 binary64))
cost-diff256
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
cost-diff384
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
cost-diff6784
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))
Rules
184×times-frac
160×associate-*r*
151×associate-*r/
125×associate-/r*
120×associate-*l/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029373
149355
291355
3188347
4365347
5702347
61066347
71244347
81246347
91247347
Stop Event
saturated
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
#s(literal 2 binary64)
(*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 l Om)
l
Om
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin.f64 kx)
kx
(sin.f64 ky)
ky
Outputs
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 1 binary64)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky))) Om)))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)))
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 Om (/.f64 #s(literal 1/4 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky))) Om))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om #s(literal 1/2 binary64))
(fma.f64 Om (/.f64 #s(literal 1/4 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky))) Om)))
(/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))
(*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)
(*.f64 Om (/.f64 #s(literal 1/4 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky))) Om))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)
(*.f64 Om (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 Om (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky))) Om))
(*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))
(*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 #s(literal 2 binary64) (/.f64 l Om)))
#s(literal 2 binary64)
(*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky))) Om)
(*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))
(/.f64 l Om)
l
Om
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin.f64 kx)
kx
(sin.f64 ky)
ky

localize103.0ms (1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
accuracy99.4%
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
accuracy99.0%
(*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
accuracy84.2%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))
accuracy100.0%
(/.f64 #s(literal 1 binary64) #s(literal 1 binary64))
accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
accuracy100.0%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))
Results
73.0ms256×0valid
Compiler

Compiled 132 to 22 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-sin: 21.0ms (42.4% of total)
ival-sqrt: 8.0ms (16.1% of total)
ival-mult: 7.0ms (14.1% of total)
ival-div: 6.0ms (12.1% of total)
ival-hypot: 4.0ms (8.1% of total)
ival-add: 3.0ms (6.1% of total)
const: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

series128.0ms (1.2%)

Counts
10 → 264
Calls
Call 1
Inputs
#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))>
#<alt (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))>
#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))>
#<alt (hypot.f64 (sin.f64 kx) (sin.f64 ky))>
Outputs
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Om (pow.f64 kx #s(literal 2 binary64))) (*.f64 l (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 Om (*.f64 l (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 Om (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (sin.f64 ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))) l)))))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 Om (*.f64 l (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Om (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (sin.f64 ky) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))))))))) l)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 Om (*.f64 (sin.f64 ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))) l)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Om (pow.f64 ky #s(literal 2 binary64))) (*.f64 l (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx)))))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx)))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 Om (*.f64 l (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 Om (*.f64 (pow.f64 ky #s(literal 2 binary64)) (*.f64 (sin.f64 kx) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) l)))))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx)))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 Om (*.f64 l (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Om (*.f64 (pow.f64 ky #s(literal 2 binary64)) (*.f64 (sin.f64 kx) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) l)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 Om (*.f64 (sin.f64 kx) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) l)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
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#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))>
#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))>
#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))>
#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))>
#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))))))>
#<alt (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx)))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 Om (pow.f64 ky #s(literal 2 binary64))) (*.f64 l (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))))))))))>
#<alt (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx)))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 Om (*.f64 l (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 Om (*.f64 (sin.f64 kx) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) l)) (*.f64 #s(literal 1/256 binary64) (/.f64 (pow.f64 Om #s(literal 2 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))))))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))))))))))))>
#<alt (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx)))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 Om (*.f64 l (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))))))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))))))) (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 Om (*.f64 (sin.f64 kx) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) l)) (*.f64 #s(literal 1/256 binary64) (/.f64 (pow.f64 Om #s(literal 2 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx)))))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Om (*.f64 (sin.f64 kx) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))))) l)) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 Om (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 Om (*.f64 (sin.f64 kx) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) l)) (*.f64 #s(literal 1/256 binary64) (/.f64 (pow.f64 Om #s(literal 2 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))))))))))) (*.f64 l (*.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))))))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))))))))))))))>
#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))>
#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))>
#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))>
#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))>
#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))>
#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))>
#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))>
#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))>
#<alt (sin.f64 ky)>
#<alt (+.f64 (sin.f64 ky) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 ky))))>
#<alt (+.f64 (sin.f64 ky) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 ky))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))))>
#<alt (+.f64 (sin.f64 ky) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 ky))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sin.f64 kx)>
#<alt (+.f64 (sin.f64 kx) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 kx))))>
#<alt (+.f64 (sin.f64 kx) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 kx))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))))>
#<alt (+.f64 (sin.f64 kx) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 kx))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
Calls

66 calls:

TimeVariablePointExpression
46.0ms
l
@inf
(* (/ l Om) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))
11.0ms
kx
@inf
(* 1/2 (/ 1 (* 2 (* (/ l Om) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))))
5.0ms
ky
@0
(sqrt (+ 1/2 (* 1/2 (/ 1 (* 2 (* (/ l Om) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))))))
2.0ms
kx
@0
(sqrt (+ 1/2 (* 1/2 (/ 1 (* 2 (* (/ l Om) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))))))
2.0ms
Om
@-inf
(sqrt (+ 1/2 (* 1/2 (/ 1 (* 2 (* (/ l Om) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))))))

rewrite164.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
958×log1p-expm1-u
958×expm1-log1p-u
226×prod-diff
188×fma-define
139×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029266
1327254
24076254
Stop Event
node limit
Counts
10 → 140
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
Outputs
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om) #s(literal 2 binary64))
(/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)) #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) l) Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(exp.f64 (log.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om))) #s(literal 1 binary64))
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(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)) #s(literal 2 binary64)))))
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(*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)))
(*.f64 (pow.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
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(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)) #s(literal 2 binary64))))
(log.f64 (exp.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)))
(exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)) #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)
(/.f64 (*.f64 (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)) Om)
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 Om (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 Om l))
(/.f64 (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky))) Om)
(/.f64 (neg.f64 (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (neg.f64 Om))
(/.f64 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (neg.f64 l)) (neg.f64 Om))
(/.f64 (*.f64 (neg.f64 l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (neg.f64 Om))
(/.f64 (/.f64 (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1 binary64)) Om)
(/.f64 (/.f64 (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (pow.f64 (cbrt.f64 Om) #s(literal 2 binary64))) (cbrt.f64 Om))
(/.f64 (/.f64 (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sqrt.f64 Om)) (sqrt.f64 Om))
(pow.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 l Om)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(cbrt.f64 (pow.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 l Om) #s(literal 3 binary64)) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 3 binary64))))
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(expm1.f64 (log1p.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))
(log1p.f64 (expm1.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))
(exp.f64 (log.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))
(exp.f64 (*.f64 (log.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 1 binary64)))
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(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))) #s(literal 1/2 binary64)))
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(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))) #s(literal 1 binary64))
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(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
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(log.f64 (exp.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))))
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(exp.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1 binary64)))

simplify231.0ms (2.1%)

Algorithm
egg-herbie
Rules
830×associate-*r*
693×associate-*l*
582×fma-define
303×distribute-rgt-in
303×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
083029770
1236928358
Stop Event
node limit
Counts
404 → 379
Calls
Call 1
Inputs
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Om (pow.f64 kx #s(literal 2 binary64))) (*.f64 l (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 Om (*.f64 l (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 Om (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (sin.f64 ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))) l)))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 Om (*.f64 l (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Om (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (sin.f64 ky) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))))))))) l)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 Om (*.f64 (sin.f64 ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))) l)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))))
(+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Om (pow.f64 ky #s(literal 2 binary64))) (*.f64 l (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx)))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx)))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 Om (*.f64 l (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 Om (*.f64 (pow.f64 ky #s(literal 2 binary64)) (*.f64 (sin.f64 kx) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) l)))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx)))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 Om (*.f64 l (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Om (*.f64 (pow.f64 ky #s(literal 2 binary64)) (*.f64 (sin.f64 kx) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) l)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 Om (*.f64 (sin.f64 kx) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) l)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
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(sin.f64 ky)
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(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
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(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sin.f64 kx)
(+.f64 (sin.f64 kx) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 kx))))
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(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
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(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))
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(/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)) #s(literal -2 binary64)))
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(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) l) Om)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 2 binary64)))
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(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(exp.f64 (log.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal 1 binary64)))
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(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om))
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(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)) #s(literal 2 binary64))
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(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)) #s(literal 2 binary64))))
(log.f64 (exp.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)))
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(expm1.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)))
(exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)) #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)
(/.f64 (*.f64 (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)) Om)
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 Om (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 Om l))
(/.f64 (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky))) Om)
(/.f64 (neg.f64 (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (neg.f64 Om))
(/.f64 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (neg.f64 l)) (neg.f64 Om))
(/.f64 (*.f64 (neg.f64 l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (neg.f64 Om))
(/.f64 (/.f64 (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1 binary64)) Om)
(/.f64 (/.f64 (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (pow.f64 (cbrt.f64 Om) #s(literal 2 binary64))) (cbrt.f64 Om))
(/.f64 (/.f64 (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sqrt.f64 Om)) (sqrt.f64 Om))
(pow.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 l Om)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(cbrt.f64 (pow.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 l Om) #s(literal 3 binary64)) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 3 binary64)) (pow.f64 (/.f64 l Om) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))
(log1p.f64 (expm1.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))
(exp.f64 (log.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))
(exp.f64 (*.f64 (log.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))) (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))) (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))))
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))) (*.f64 (/.f64 Om l) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))) (*.f64 (/.f64 Om l) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))) (*.f64 (/.f64 Om l) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))) (*.f64 (/.f64 Om l) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))) (*.f64 (/.f64 Om l) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))) (*.f64 (/.f64 Om l) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))) (*.f64 (/.f64 Om l) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))) (*.f64 (/.f64 Om l) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))) (*.f64 (/.f64 Om l) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))) (*.f64 (/.f64 Om l) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))) (*.f64 (/.f64 Om l) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))) (*.f64 (/.f64 Om l) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))) (*.f64 (/.f64 Om l) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))) (*.f64 (/.f64 Om l) #s(literal 1/4 binary64)))
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(*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
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(*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l (sin.f64 kx)) Om))
(*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (sin.f64 kx) Om)))
(*.f64 l (*.f64 (/.f64 (sin.f64 kx) Om) #s(literal 2 binary64)))
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(fma.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (sin.f64 kx) Om)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (/.f64 (/.f64 l Om) (sin.f64 kx))))
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(fma.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (sin.f64 kx) Om)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (*.f64 l (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 Om (sin.f64 kx))))) (/.f64 (/.f64 l Om) (sin.f64 kx)))))
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(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
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(*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 l Om) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))
(*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 l Om) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))
(*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 l Om) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))
(*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 l Om) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))
(*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 l Om) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))
(*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 l Om) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))
(*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 l Om) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))
(*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
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(*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))
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(*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))
(*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
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(*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))
(*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
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(*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))
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(*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))
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(*.f64 (/.f64 l Om) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))
(*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 l Om) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))
(*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 l Om) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))
(*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
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(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 Om (fma.f64 #s(literal -1/128 binary64) (/.f64 (/.f64 Om (pow.f64 l #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 l (sqrt.f64 #s(literal 1/2 binary64)))))))))
(fma.f64 Om (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/128 binary64) (/.f64 (/.f64 Om (pow.f64 l #s(literal 2 binary64))) (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 Om (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 Om (-.f64 (*.f64 #s(literal 1/1024 binary64) (*.f64 (/.f64 Om (*.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 Om (fma.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 Om (fma.f64 #s(literal 1/1024 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 Om (*.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (neg.f64 (/.f64 #s(literal 1/128 binary64) (*.f64 (pow.f64 l #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))))))))
(fma.f64 Om (fma.f64 Om (fma.f64 (*.f64 #s(literal 1/1024 binary64) (/.f64 Om (*.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -1/128 binary64) (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 l #s(literal 2 binary64)))))) (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))
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(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 Om l))))
(*.f64 Om (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (pow.f64 Om #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om l)))))))
(*.f64 Om (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (pow.f64 Om #s(literal 3 binary64))))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om l)))))))
(*.f64 Om (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (pow.f64 Om #s(literal 3 binary64)))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om l)))))))
(*.f64 Om (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 Om #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (pow.f64 Om #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om l))))))))
(*.f64 Om (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 Om #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (pow.f64 Om #s(literal 3 binary64))))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om l))))))))
(*.f64 Om (fma.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (pow.f64 Om #s(literal 3 binary64)))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om l))))) (*.f64 (pow.f64 (pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 Om #s(literal 5 binary64)))) #s(literal -1/4 binary64)))))
(*.f64 Om (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 Om #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 Om #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (pow.f64 Om #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om l)))))))))
(*.f64 Om (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 Om #s(literal 5 binary64))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 Om #s(literal 7 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (pow.f64 Om #s(literal 3 binary64))))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om l)))))))))
(*.f64 Om (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 Om #s(literal 5 binary64))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 Om #s(literal 7 binary64))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (pow.f64 Om #s(literal 3 binary64)))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om l)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 Om l)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 Om l)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 Om (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 l (pow.f64 Om #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om l))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))))
(*.f64 (neg.f64 Om) (fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 l (pow.f64 Om #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om l))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))))
(*.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om l))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (*.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 l (pow.f64 Om #s(literal 3 binary64))))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) #s(literal 1/4 binary64)))) (neg.f64 Om))
(*.f64 #s(literal -1 binary64) (*.f64 Om (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 Om #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 l (pow.f64 Om #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om l))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))))))
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(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om))
(*.f64 Om (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) l) (/.f64 Om (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om) #s(literal 1 binary64))
(*.f64 Om (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) l) (/.f64 Om (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)) #s(literal -2 binary64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 Om (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) l) (/.f64 Om (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)))
(*.f64 (cbrt.f64 (*.f64 Om (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) l) (/.f64 Om (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)))
(*.f64 Om (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) l) (/.f64 Om (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (pow.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal -2 binary64))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal -1 binary64)) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l #s(literal 2 binary64)) Om)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 l Om))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)
(*.f64 Om (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) l) (/.f64 Om (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om) #s(literal 1 binary64))
(*.f64 Om (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) l) (/.f64 Om (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)) #s(literal 3 binary64))
(*.f64 Om (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) l) (/.f64 Om (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 Om (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) l) (/.f64 Om (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)) #s(literal 2 binary64))
(*.f64 Om (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) l) (/.f64 Om (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64))))
(log.f64 (exp.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)))
(*.f64 Om (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) l) (/.f64 Om (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om))))
(*.f64 Om (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) l) (/.f64 Om (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om) #s(literal 3 binary64)))
(*.f64 Om (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) l) (/.f64 Om (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)))
(expm1.f64 (log1p.f64 (*.f64 Om (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) l) (/.f64 Om (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)))
(*.f64 Om (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) l) (/.f64 Om (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)))
(*.f64 Om (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) l) (/.f64 Om (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1/2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)) #s(literal 1 binary64)))
(*.f64 Om (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) l) (/.f64 Om (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om))
(/.f64 #s(literal 1 binary64) (*.f64 Om (/.f64 #s(literal 1/2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) l) (/.f64 Om (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (*.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)) #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) Om)
(*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (*.f64 (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)) Om)
(*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal 3 binary64))
(*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))
(*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))))
(*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))) #s(literal 3 binary64)))
(*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))
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(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))) #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(*.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 3 binary64))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 3 binary64)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1 binary64)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))

eval65.0ms (0.6%)

Compiler

Compiled 14774 to 2542 computations (82.8% saved)

prune69.0ms (0.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3745379
Fresh000
Picked202
Done000
Total3765381
Accuracy
100.0%
Counts
381 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.8%
(sqrt.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))) #s(literal 1/2 binary64)))
49.0%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
56.5%
(sqrt.f64 #s(literal 1/2 binary64))
48.7%
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 3/2 binary64)))
63.1%
#s(literal 1 binary64)
Compiler

Compiled 128 to 106 computations (17.2% saved)

simplify29.0ms (0.3%)

Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
cost-diff0
(/.f64 l Om)
cost-diff0
(*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
cost-diff0
(/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
cost-diff0
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
cost-diff0
(/.f64 l Om)
cost-diff0
(*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
cost-diff0
(/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
cost-diff0
(sin.f64 ky)
cost-diff0
(*.f64 l (sin.f64 ky))
cost-diff0
(/.f64 Om (*.f64 l (sin.f64 ky)))
cost-diff0
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
cost-diff0
(sqrt.f64 #s(literal 1/2 binary64))
Rules
19×fma-define
18×associate-/r*
12×associate-*l/
12×*-commutative
12×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032756
156756
284736
3110736
4137736
5150736
6153736
7155736
8157736
9157736
Stop Event
saturated
Calls
Call 1
Inputs
#s(literal 1 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
#s(literal 1/4 binary64)
(/.f64 Om (*.f64 l (sin.f64 ky)))
Om
(*.f64 l (sin.f64 ky))
l
(sin.f64 ky)
ky
#s(literal 1/2 binary64)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
#s(literal 1/4 binary64)
(*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 l Om)
l
Om
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin.f64 kx)
kx
(sin.f64 ky)
ky
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 3/2 binary64)))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 3/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
#s(literal 1/4 binary64)
(*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 l Om)
l
Om
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin.f64 kx)
kx
(sin.f64 ky)
ky
#s(literal 3/2 binary64)
Outputs
#s(literal 1 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
#s(literal 1/4 binary64)
(/.f64 Om (*.f64 l (sin.f64 ky)))
Om
(*.f64 l (sin.f64 ky))
l
(sin.f64 ky)
ky
#s(literal 1/2 binary64)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(sqrt.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) l) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) Om #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 Om (/.f64 (/.f64 #s(literal 1/4 binary64) l) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(fma.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) l) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) Om #s(literal 1/2 binary64))
(fma.f64 Om (/.f64 (/.f64 #s(literal 1/4 binary64) l) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 Om (/.f64 (/.f64 #s(literal 1/4 binary64) l) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
#s(literal 1/4 binary64)
(*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 l Om)
l
Om
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
kx
(sin.f64 ky)
ky
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) l) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) Om #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 Om (/.f64 (/.f64 #s(literal 1/4 binary64) l) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 3/2 binary64))
(pow.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) l) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) Om #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (fma.f64 Om (/.f64 (/.f64 #s(literal 1/4 binary64) l) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(fma.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) l) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) Om #s(literal 1/2 binary64))
(fma.f64 Om (/.f64 (/.f64 #s(literal 1/4 binary64) l) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 Om (/.f64 (/.f64 #s(literal 1/4 binary64) l) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
#s(literal 1/4 binary64)
(*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 l Om)
l
Om
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
kx
(sin.f64 ky)
ky
#s(literal 3/2 binary64)

localize134.0ms (1.2%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 3/2 binary64))
accuracy99.5%
(/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
accuracy99.0%
(*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
accuracy78.8%
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 3/2 binary64)))
accuracy100.0%
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
accuracy99.5%
(/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
accuracy99.0%
(*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
accuracy88.6%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
accuracy100.0%
(+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))) #s(literal 1/2 binary64))
accuracy99.8%
(*.f64 l (sin.f64 ky))
accuracy98.1%
(/.f64 Om (*.f64 l (sin.f64 ky)))
accuracy88.6%
(sqrt.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))) #s(literal 1/2 binary64)))
accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
Results
76.0ms213×0valid
14.0ms43×0invalid
Compiler

Compiled 203 to 25 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-sin: 12.0ms (22.9% of total)
ival-sqrt: 9.0ms (17.1% of total)
ival-mult: 8.0ms (15.2% of total)
ival-pow: 7.0ms (13.3% of total)
ival-div: 5.0ms (9.5% of total)
ival-hypot: 4.0ms (7.6% of total)
ival-add: 3.0ms (5.7% of total)
ival-cbrt: 3.0ms (5.7% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series238.0ms (2.2%)

Counts
11 → 280
Calls
Call 1
Inputs
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))>
#<alt (/.f64 Om (*.f64 l (sin.f64 ky)))>
#<alt (*.f64 l (sin.f64 ky))>
#<alt (sin.f64 ky)>
#<alt (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))>
#<alt (sqrt.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))) #s(literal 1/2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))) #s(literal 1/2 binary64))>
#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))>
#<alt (cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 3/2 binary64)))>
#<alt (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 3/2 binary64))>
Outputs
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 ky l)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 Om (pow.f64 ky #s(literal 2 binary64))) l)) (*.f64 #s(literal 1/4 binary64) (/.f64 Om l))) ky)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/36 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/120 binary64) (/.f64 Om l))))) (*.f64 #s(literal 1/24 binary64) (/.f64 Om l))))) ky)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 Om l)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 Om l)) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/36 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/120 binary64) (/.f64 Om l)))))))) (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 #s(literal -1/36 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/120 binary64) (/.f64 Om l))))))))) ky)>
#<alt (/.f64 Om (*.f64 ky l))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 Om (pow.f64 ky #s(literal 2 binary64))) l)) (/.f64 Om l)) ky)>
#<alt (/.f64 (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/36 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/120 binary64) (/.f64 Om l))))) (*.f64 #s(literal -1/6 binary64) (/.f64 Om l)))) (/.f64 Om l)) ky)>
#<alt (/.f64 (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 Om l)) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/36 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/120 binary64) (/.f64 Om l)))))))) (+.f64 (*.f64 #s(literal -1/36 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/120 binary64) (/.f64 Om l))))) (*.f64 #s(literal -1/6 binary64) (/.f64 Om l)))) (/.f64 Om l)) ky)>
#<alt (*.f64 ky l)>
#<alt (*.f64 ky (+.f64 l (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) l))))>
#<alt (*.f64 ky (+.f64 l (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) l) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) l))))))>
#<alt (*.f64 ky (+.f64 l (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) l) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) l)) (*.f64 #s(literal 1/120 binary64) l)))))))>
#<alt ky>
#<alt (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))>
#<alt (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 ky #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Om (pow.f64 kx #s(literal 2 binary64))) (*.f64 l (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 Om (*.f64 l (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 Om (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (sin.f64 ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))) l)))))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 Om (*.f64 l (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Om (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (sin.f64 ky) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))))))))) l)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 Om (*.f64 (sin.f64 ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))) l)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Om (pow.f64 ky #s(literal 2 binary64))) (*.f64 l (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx)))))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx)))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 Om (*.f64 l (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 Om (*.f64 (pow.f64 ky #s(literal 2 binary64)) (*.f64 (sin.f64 kx) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) l)))))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx)))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 Om (*.f64 l (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Om (*.f64 (pow.f64 ky #s(literal 2 binary64)) (*.f64 (sin.f64 kx) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) l)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 Om (*.f64 (sin.f64 kx) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) l)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 Om (*.f64 l (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 Om (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 Om (*.f64 (pow.f64 l #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64)))))))))>
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#s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) l)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Om (+.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 Om #s(literal 2 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 Om (*.f64 (sin.f64 kx) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) l)))) (*.f64 l (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 Om #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 Om (*.f64 (sin.f64 kx) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) l)) (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 Om #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 Om (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))))) #s(literal 2 binary64))) (*.f64 l (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Om (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))))) #s(literal 2 binary64))) (*.f64 l (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (-.f64 (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 Om #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx)))))) (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 Om (*.f64 (sin.f64 kx) (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))))) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) l)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))))) (+.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 Om #s(literal 2 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 Om (*.f64 (sin.f64 kx) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) l)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 Om (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))))) #s(literal 2 binary64))) (*.f64 l (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Om (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))))) #s(literal 2 binary64))) (*.f64 l (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))))) #s(literal 3 binary64)))))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))))) #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 kx))))) #s(literal 3 binary64)))))))))))>
#<alt (sqrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))) #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))) #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))) #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))) #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))) #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))) #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))) #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))) #s(literal 3 binary64)))>
Calls

93 calls:

TimeVariablePointExpression
122.0ms
l
@0
(pow (+ 1/2 (/ 1/4 (* (/ l Om) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) 3/2)
17.0ms
l
@-inf
(pow (+ 1/2 (/ 1/4 (* (/ l Om) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) 3/2)
9.0ms
ky
@0
(pow (+ 1/2 (/ 1/4 (* (/ l Om) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) 3/2)
8.0ms
kx
@0
(pow (+ 1/2 (/ 1/4 (* (/ l Om) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) 3/2)
5.0ms
Om
@inf
(pow (+ 1/2 (/ 1/4 (* (/ l Om) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) 3/2)

rewrite217.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
959×log1p-expm1-u
378×prod-diff
203×expm1-log1p-u
194×add-exp-log
194×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031372
1457360
25940360
Stop Event
node limit
Counts
11 → 288
Calls
Call 1
Inputs
(sqrt.f64 #s(literal 1/2 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(/.f64 Om (*.f64 l (sin.f64 ky)))
(*.f64 l (sin.f64 ky))
(sin.f64 ky)
(/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(sqrt.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 3/2 binary64)))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 3/2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/3 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))))) #s(literal 1 binary64))
(/.f64 #s(literal 1/4 binary64) (*.f64 l (/.f64 (sin.f64 ky) Om)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l (sin.f64 ky)) (*.f64 #s(literal 1/4 binary64) Om)))
(/.f64 (*.f64 #s(literal 1/4 binary64) Om) (*.f64 l (sin.f64 ky)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (sin.f64 ky))
(/.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) Om)) (*.f64 l (neg.f64 (sin.f64 ky))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 Om)) (*.f64 l (neg.f64 (sin.f64 ky))))
(/.f64 (*.f64 (neg.f64 Om) #s(literal 1/4 binary64)) (*.f64 l (neg.f64 (sin.f64 ky))))
(/.f64 (*.f64 (/.f64 Om l) #s(literal 1/4 binary64)) (sin.f64 ky))
(/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) Om) l) (sin.f64 ky))
(/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) Om) (sin.f64 ky)) l)
(/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) Om) #s(literal 1 binary64)) (*.f64 l (sin.f64 ky)))
(/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) Om) (pow.f64 (cbrt.f64 (*.f64 l (sin.f64 ky))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 l (sin.f64 ky))))
(/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) Om) (sqrt.f64 (*.f64 l (sin.f64 ky)))) (sqrt.f64 (*.f64 l (sin.f64 ky))))
(pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 Om (*.f64 l (sin.f64 ky)))) #s(literal 1/4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 Om (*.f64 l (sin.f64 ky))))) #s(literal 1 binary64))
(*.f64 Om (/.f64 #s(literal 1 binary64) (*.f64 l (sin.f64 ky))))
(*.f64 (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 (cbrt.f64 (/.f64 Om (*.f64 l (sin.f64 ky)))) (pow.f64 (cbrt.f64 (/.f64 Om (*.f64 l (sin.f64 ky)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 Om (*.f64 l (sin.f64 ky)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 Om (*.f64 l (sin.f64 ky)))))
(*.f64 (pow.f64 (cbrt.f64 Om) #s(literal 2 binary64)) (/.f64 (cbrt.f64 Om) (*.f64 l (sin.f64 ky))))
(*.f64 (pow.f64 (cbrt.f64 Om) #s(literal 2 binary64)) (*.f64 (cbrt.f64 Om) (/.f64 #s(literal 1 binary64) (*.f64 l (sin.f64 ky)))))
(*.f64 (sqrt.f64 (/.f64 Om (*.f64 l (sin.f64 ky)))) (sqrt.f64 (/.f64 Om (*.f64 l (sin.f64 ky)))))
(*.f64 (sqrt.f64 Om) (/.f64 (sqrt.f64 Om) (*.f64 l (sin.f64 ky))))
(*.f64 (sqrt.f64 Om) (*.f64 (sqrt.f64 Om) (/.f64 #s(literal 1 binary64) (*.f64 l (sin.f64 ky)))))
(*.f64 (neg.f64 Om) (/.f64 #s(literal 1 binary64) (*.f64 l (neg.f64 (sin.f64 ky)))))
(*.f64 (/.f64 Om l) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (sin.f64 ky))) Om)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 Om) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 Om) (*.f64 l (sin.f64 ky))))
(*.f64 (/.f64 (sqrt.f64 Om) #s(literal 1 binary64)) (/.f64 (sqrt.f64 Om) (*.f64 l (sin.f64 ky))))
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(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))) (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 3 binary64))) #s(literal 1/8 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)) #s(literal 2 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))

simplify607.0ms (5.6%)

Algorithm
egg-herbie
Rules
758×distribute-lft-in
641×times-frac
605×*-commutative
213×+-commutative
159×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0158556697
1463255292
Stop Event
node limit
Counts
568 → 618
Calls
Call 1
Inputs
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 ky l)))
(/.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 Om (pow.f64 ky #s(literal 2 binary64))) l)) (*.f64 #s(literal 1/4 binary64) (/.f64 Om l))) ky)
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/36 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/120 binary64) (/.f64 Om l))))) (*.f64 #s(literal 1/24 binary64) (/.f64 Om l))))) ky)
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 Om l)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 Om l)) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/36 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/120 binary64) (/.f64 Om l)))))))) (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 #s(literal -1/36 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/120 binary64) (/.f64 Om l))))))))) ky)
(/.f64 Om (*.f64 ky l))
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 Om (pow.f64 ky #s(literal 2 binary64))) l)) (/.f64 Om l)) ky)
(/.f64 (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/36 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/120 binary64) (/.f64 Om l))))) (*.f64 #s(literal -1/6 binary64) (/.f64 Om l)))) (/.f64 Om l)) ky)
(/.f64 (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 Om l)) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/36 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/120 binary64) (/.f64 Om l)))))))) (+.f64 (*.f64 #s(literal -1/36 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/120 binary64) (/.f64 Om l))))) (*.f64 #s(literal -1/6 binary64) (/.f64 Om l)))) (/.f64 Om l)) ky)
(*.f64 ky l)
(*.f64 ky (+.f64 l (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) l))))
(*.f64 ky (+.f64 l (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) l) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) l))))))
(*.f64 ky (+.f64 l (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) l) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) l)) (*.f64 #s(literal 1/120 binary64) l)))))))
ky
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 ky #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Om (pow.f64 kx #s(literal 2 binary64))) (*.f64 l (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 Om (*.f64 l (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 Om (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (sin.f64 ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))) l)))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 Om (*.f64 l (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Om (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (sin.f64 ky) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))))))))) l)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 Om (*.f64 (sin.f64 ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))) l)))))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
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#s(literal 1/2 binary64)
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(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
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(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
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(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (sin.f64 ky))) (*.f64 #s(literal 1/2 binary64) l)) l)
#s(literal 1/2 binary64)
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(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))))
#s(literal 1/2 binary64)
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(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 ky l)))
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(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))))
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(sqrt.f64 #s(literal 1/2 binary64))
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(sqrt.f64 #s(literal 1/2 binary64))
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(sqrt.f64 #s(literal 1/2 binary64))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)) #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)) #s(literal 2 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)))))))
(pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))
(fabs.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))) (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 3 binary64))) #s(literal 1/8 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)) #s(literal 2 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 ky l)))
(*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om ky) l))
(/.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 Om (pow.f64 ky #s(literal 2 binary64))) l)) (*.f64 #s(literal 1/4 binary64) (/.f64 Om l))) ky)
(/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 Om (/.f64 (pow.f64 ky #s(literal 2 binary64)) l)) (/.f64 (*.f64 #s(literal 1/4 binary64) Om) l)) ky)
(/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 Om (/.f64 (pow.f64 ky #s(literal 2 binary64)) l)) (*.f64 #s(literal 1/4 binary64) (/.f64 Om l))) ky)
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/36 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/120 binary64) (/.f64 Om l))))) (*.f64 #s(literal 1/24 binary64) (/.f64 Om l))))) ky)
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om l) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (*.f64 (/.f64 Om l) #s(literal -7/360 binary64))) (/.f64 (*.f64 #s(literal 1/24 binary64) Om) l)))) ky)
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 Om l)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 Om l)) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/36 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/120 binary64) (/.f64 Om l)))))))) (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 #s(literal -1/36 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/120 binary64) (/.f64 Om l))))))))) ky)
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om l) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (/.f64 Om l) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (/.f64 Om l) (fma.f64 #s(literal 1/720 binary64) (/.f64 Om l) (*.f64 (*.f64 (/.f64 Om l) #s(literal -7/360 binary64)) #s(literal 1/6 binary64))))) (*.f64 (/.f64 Om l) #s(literal -7/360 binary64)))))))) ky)
(/.f64 Om (*.f64 ky l))
(/.f64 (/.f64 Om ky) l)
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 Om (pow.f64 ky #s(literal 2 binary64))) l)) (/.f64 Om l)) ky)
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 Om (/.f64 (pow.f64 ky #s(literal 2 binary64)) l)) (/.f64 Om l)) ky)
(/.f64 (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/36 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/120 binary64) (/.f64 Om l))))) (*.f64 #s(literal -1/6 binary64) (/.f64 Om l)))) (/.f64 Om l)) ky)
(/.f64 (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (neg.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (*.f64 (/.f64 Om l) #s(literal -7/360 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 Om l))) (/.f64 Om l)) ky)
(/.f64 (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 ky #s(literal 2 binary64))) (*.f64 (/.f64 Om l) #s(literal -7/360 binary64)) (*.f64 (/.f64 Om l) #s(literal 1/6 binary64))) (/.f64 Om l)) ky)
(/.f64 (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 Om l)) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/36 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/120 binary64) (/.f64 Om l)))))))) (+.f64 (*.f64 #s(literal -1/36 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/120 binary64) (/.f64 Om l))))) (*.f64 #s(literal -1/6 binary64) (/.f64 Om l)))) (/.f64 Om l)) ky)
(/.f64 (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (neg.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (/.f64 Om l) (fma.f64 #s(literal 1/720 binary64) (/.f64 Om l) (*.f64 (*.f64 (/.f64 Om l) #s(literal -7/360 binary64)) #s(literal 1/6 binary64)))))) (*.f64 (/.f64 Om l) #s(literal -7/360 binary64))) (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) Om) l))) (/.f64 Om l)) ky)
(/.f64 (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 ky #s(literal 2 binary64))) (fma.f64 #s(literal -1/5040 binary64) (/.f64 Om l) (fma.f64 #s(literal 1/720 binary64) (/.f64 Om l) (*.f64 (*.f64 (/.f64 Om l) #s(literal -7/360 binary64)) #s(literal 1/6 binary64)))) (*.f64 (/.f64 Om l) #s(literal 7/360 binary64))) (*.f64 (/.f64 Om l) #s(literal 1/6 binary64))) (/.f64 Om l)) ky)
(*.f64 ky l)
(*.f64 ky (+.f64 l (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) l))))
(*.f64 ky (+.f64 l (*.f64 #s(literal -1/6 binary64) (*.f64 l (pow.f64 ky #s(literal 2 binary64))))))
(*.f64 ky (+.f64 l (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) l) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) l))))))
(*.f64 ky (+.f64 l (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) l (*.f64 #s(literal 1/120 binary64) (*.f64 l (pow.f64 ky #s(literal 2 binary64))))))))
(*.f64 ky (+.f64 l (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) l) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) l)) (*.f64 #s(literal 1/120 binary64) l)))))))
(*.f64 ky (+.f64 l (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) l (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 l (pow.f64 ky #s(literal 2 binary64))) (*.f64 l #s(literal 1/120 binary64))))))))
ky
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) #s(literal -1/6 binary64))))
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
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(/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 Om (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky))) Om) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky))) Om)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 l (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) Om)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky))) Om) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky))) Om) #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1/2 binary64))))
(pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1/2 binary64))))
(pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1/2 binary64))))
(pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1/2 binary64))))
(pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
(exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1/2 binary64))))
(pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1/2 binary64))))
(pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))

eval457.0ms (4.2%)

Compiler

Compiled 39006 to 5165 computations (86.8% saved)

prune606.0ms (5.6%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New9952997
Fresh000
Picked055
Done000
Total99571002
Accuracy
100.0%
Counts
1002 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.9%
(sqrt.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om ky) l)) #s(literal 1/2 binary64)))
47.8%
(sqrt.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))) #s(literal 1/2 binary64)))
49.0%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
56.5%
(sqrt.f64 #s(literal 1/2 binary64))
47.8%
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 l (sin.f64 ky)) Om))) #s(literal 3/2 binary64)))
48.7%
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 3/2 binary64)))
63.1%
#s(literal 1 binary64)
Compiler

Compiled 95 to 78 computations (17.9% saved)

simplify109.0ms (1%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(sqrt.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om ky) l)) #s(literal 1/2 binary64)))
cost-diff0
(/.f64 Om ky)
cost-diff0
(/.f64 (/.f64 Om ky) l)
cost-diff0
(*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om ky) l))
cost-diff0
(sin.f64 ky)
cost-diff0
(*.f64 l (sin.f64 ky))
cost-diff0
(/.f64 (*.f64 l (sin.f64 ky)) Om)
cost-diff0
(/.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 l (sin.f64 ky)) Om))
Rules
18×associate-/r*
16×fma-define
14×associate-*r/
13×associate-*l/
13×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025369
139357
261357
399357
4124357
5130357
6132357
7135357
8137357
9139357
10141357
11141357
Stop Event
saturated
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 l (sin.f64 ky)) Om))) #s(literal 3/2 binary64)))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 l (sin.f64 ky)) Om))) #s(literal 3/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 l (sin.f64 ky)) Om)))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 l (sin.f64 ky)) Om))
#s(literal 1/4 binary64)
(/.f64 (*.f64 l (sin.f64 ky)) Om)
(*.f64 l (sin.f64 ky))
l
(sin.f64 ky)
ky
Om
#s(literal 3/2 binary64)
(sqrt.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om ky) l)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om ky) l)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om ky) l))
#s(literal 1/4 binary64)
(/.f64 (/.f64 Om ky) l)
(/.f64 Om ky)
Om
ky
l
#s(literal 1/2 binary64)
Outputs
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 l (sin.f64 ky)) Om))) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) l) (sin.f64 ky)) Om #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 Om (/.f64 (/.f64 #s(literal 1/4 binary64) l) (sin.f64 ky)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 l (sin.f64 ky)) Om))) #s(literal 3/2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om)) #s(literal 3/2 binary64))
(pow.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) l) (sin.f64 ky)) Om #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (fma.f64 Om (/.f64 (/.f64 #s(literal 1/4 binary64) l) (sin.f64 ky)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 l (sin.f64 ky)) Om)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om))
(fma.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) l) (sin.f64 ky)) Om #s(literal 1/2 binary64))
(fma.f64 Om (/.f64 (/.f64 #s(literal 1/4 binary64) l) (sin.f64 ky)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 l (sin.f64 ky)) Om))
(*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om)
(*.f64 Om (/.f64 (/.f64 #s(literal 1/4 binary64) l) (sin.f64 ky)))
#s(literal 1/4 binary64)
(/.f64 (*.f64 l (sin.f64 ky)) Om)
(*.f64 l (/.f64 (sin.f64 ky) Om))
(*.f64 l (sin.f64 ky))
l
(sin.f64 ky)
ky
Om
#s(literal 3/2 binary64)
(sqrt.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om ky) l)) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om ky) l) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om ky) l)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om ky) l) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om ky) l))
#s(literal 1/4 binary64)
(/.f64 (/.f64 Om ky) l)
(/.f64 Om ky)
Om
ky
l
#s(literal 1/2 binary64)

localize179.0ms (1.7%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om ky) l)) #s(literal 1/2 binary64))
accuracy100.0%
(*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om ky) l))
accuracy94.2%
(/.f64 (/.f64 Om ky) l)
accuracy92.6%
(sqrt.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om ky) l)) #s(literal 1/2 binary64)))
accuracy99.8%
(*.f64 l (sin.f64 ky))
accuracy99.5%
(/.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 l (sin.f64 ky)) Om))
accuracy98.2%
(/.f64 (*.f64 l (sin.f64 ky)) Om)
accuracy78.8%
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 l (sin.f64 ky)) Om))) #s(literal 3/2 binary64)))
Results
149.0ms213×0valid
8.0ms43×0invalid
Compiler

Compiled 105 to 20 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 114.0ms
ival-pow: 88.0ms (76.9% of total)
ival-sin: 8.0ms (7% of total)
ival-div: 7.0ms (6.1% of total)
ival-mult: 4.0ms (3.5% of total)
ival-add: 3.0ms (2.6% of total)
ival-cbrt: 2.0ms (1.7% of total)
ival-sqrt: 2.0ms (1.7% of total)
const: 1.0ms (0.9% of total)
backward-pass: 0.0ms (0% of total)

series42.0ms (0.4%)

Counts
8 → 220
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 l (sin.f64 ky)) Om))>
#<alt (/.f64 (*.f64 l (sin.f64 ky)) Om)>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om ky) l))>
#<alt (/.f64 (/.f64 Om ky) l)>
#<alt (/.f64 Om ky)>
#<alt (sqrt.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om ky) l)) #s(literal 1/2 binary64)))>
#<alt (cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 l (sin.f64 ky)) Om))) #s(literal 3/2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om ky) l)) #s(literal 1/2 binary64))>
Outputs
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 ky l)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 Om (pow.f64 ky #s(literal 2 binary64))) l)) (*.f64 #s(literal 1/4 binary64) (/.f64 Om l))) ky)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/36 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/120 binary64) (/.f64 Om l))))) (*.f64 #s(literal 1/24 binary64) (/.f64 Om l))))) ky)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 Om l)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 Om l)) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/36 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/120 binary64) (/.f64 Om l)))))))) (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 #s(literal -1/36 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/120 binary64) (/.f64 Om l))))))))) ky)>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))>
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#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 Om l) (sin.f64 ky)))) (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (sin.f64 ky) (*.f64 Om l)))) (*.f64 (pow.f64 l #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (*.f64 (pow.f64 Om #s(literal 3 binary64)) (pow.f64 l #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 5 binary64)) (*.f64 (pow.f64 Om #s(literal 5 binary64)) l))))))))) l)>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 Om (*.f64 l (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 Om #s(literal 2 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 Om (*.f64 l (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 Om #s(literal 2 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 Om #s(literal 3 binary64)) (*.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 Om (*.f64 l (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64)))))))))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 Om (*.f64 l (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 Om (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 Om #s(literal 2 binary64)) (*.f64 l (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) l)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 Om #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 Om #s(literal 3 binary64)) (*.f64 l (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))))) l)) (*.f64 #s(literal -1/8 binary64) (/.f64 Om (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64)))))) l)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 Om (*.f64 ky l))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 Om ky) l))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 (pow.f64 ky #s(literal 3 binary64)) l) Om)))) ky)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 Om ky) l))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (/.f64 (*.f64 Om ky) l))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 l (*.f64 Om ky))))))) ky)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 Om ky) l))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 l (*.f64 Om ky)))) (*.f64 ky (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (pow.f64 Om #s(literal 3 binary64)) ky)))) (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (/.f64 Om (*.f64 ky l))))))))) ky)>
#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))))>
#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))))>
#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))))>
#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))))>
#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))))>
#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))))>
#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))))>
#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 Om (*.f64 l (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 Om (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 Om (*.f64 (pow.f64 l #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64)))))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 Om (+.f64 (*.f64 Om (-.f64 (*.f64 #s(literal 1/1024 binary64) (/.f64 Om (*.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 Om (*.f64 l (sin.f64 ky)))))>
#<alt (*.f64 Om (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om (*.f64 l (sin.f64 ky)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 l (sin.f64 ky)) (pow.f64 Om #s(literal 3 binary64)))))))>
#<alt (*.f64 Om (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (pow.f64 Om #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om (*.f64 l (sin.f64 ky)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 l (sin.f64 ky)) (pow.f64 Om #s(literal 3 binary64))))))))>
#<alt (*.f64 Om (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (pow.f64 Om #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))) (pow.f64 Om #s(literal 7 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om (*.f64 l (sin.f64 ky)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 l (sin.f64 ky)) (pow.f64 Om #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 Om (*.f64 l (sin.f64 ky)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 Om (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (sin.f64 ky)) (pow.f64 Om #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om (*.f64 l (sin.f64 ky))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 Om (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (pow.f64 Om #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (sin.f64 ky)) (pow.f64 Om #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om (*.f64 l (sin.f64 ky))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 Om (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (pow.f64 Om #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/128 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))) (pow.f64 Om #s(literal 7 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (sin.f64 ky)) (pow.f64 Om #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om (*.f64 l (sin.f64 ky))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 ky l))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 ky l))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 ky l))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 ky l)))>
#<alt (*.f64 Om (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) Om)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 ky l)))))>
#<alt (*.f64 Om (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) Om)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 ky l)))))>
#<alt (*.f64 Om (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) Om)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 ky l)))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 ky l)))>
#<alt (*.f64 Om (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 ky l))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) Om))))>
#<alt (*.f64 Om (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 ky l))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) Om))))>
#<alt (*.f64 Om (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 ky l))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) Om))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 ky l)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/2 binary64) ky)) ky)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/2 binary64) ky)) ky)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/2 binary64) ky)) ky)>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 ky l))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 ky l))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 ky l))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 ky l))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 ky l))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 ky l))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 ky l)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om ky)) (*.f64 #s(literal 1/2 binary64) l)) l)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om ky)) (*.f64 #s(literal 1/2 binary64) l)) l)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om ky)) (*.f64 #s(literal 1/2 binary64) l)) l)>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 ky l))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 ky l))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 ky l))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 ky l))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 ky l))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 ky l))))>
Calls

69 calls:

TimeVariablePointExpression
7.0ms
l
@0
(cbrt (pow (+ 1/2 (/ 1/4 (/ (* l (sin ky)) Om))) 3/2))
2.0ms
Om
@-inf
(sqrt (+ (* 1/4 (/ (/ Om ky) l)) 1/2))
1.0ms
Om
@inf
(sqrt (+ (* 1/4 (/ (/ Om ky) l)) 1/2))
1.0ms
Om
@0
(* 1/4 (/ (/ Om ky) l))
1.0ms
l
@inf
(cbrt (pow (+ 1/2 (/ 1/4 (/ (* l (sin ky)) Om))) 3/2))

rewrite193.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
1171×log1p-expm1-u
366×prod-diff
164×expm1-log1p-u
161×add-exp-log
161×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025233
1365223
25221223
Stop Event
node limit
Counts
8 → 270
Calls
Call 1
Inputs
(/.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 l (sin.f64 ky)) Om))
(/.f64 (*.f64 l (sin.f64 ky)) Om)
(*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om ky) l))
(/.f64 (/.f64 Om ky) l)
(/.f64 Om ky)
(sqrt.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om ky) l)) #s(literal 1/2 binary64)))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 l (sin.f64 ky)) Om))) #s(literal 3/2 binary64)))
(+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om ky) l)) #s(literal 1/2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 Om (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 Om (*.f64 l (sin.f64 ky))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 Om (*.f64 l (sin.f64 ky))))))
(*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 l) (/.f64 (sin.f64 ky) Om))))
(*.f64 (/.f64 Om (*.f64 l (sin.f64 ky))) #s(literal 1/4 binary64))
(*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om)
(*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) #s(literal 1 binary64)) Om)
(*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) (pow.f64 (cbrt.f64 Om) #s(literal 2 binary64))) (cbrt.f64 Om))
(*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) (sqrt.f64 Om)) (sqrt.f64 Om))
(*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (neg.f64 (sin.f64 ky)))) (neg.f64 Om))
(pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 Om (*.f64 l (sin.f64 ky))))) #s(literal 2 binary64))
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(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64)))) (cbrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 l (/.f64 (sin.f64 ky) Om)) #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (sqrt.f64 (-.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 l (/.f64 (sin.f64 ky) Om)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))))))
(pow.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64)))
(fabs.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 Om (*.f64 l ky)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (/.f64 Om (*.f64 l ky)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om (*.f64 l ky)) #s(literal 1/8 binary64))))))
(*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 Om (*.f64 l ky)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))) (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))) (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 Om (*.f64 l ky)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om (*.f64 l ky)) #s(literal 1/8 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky))) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal -1/2 binary64)) (+.f64 (*.f64 (pow.f64 (/.f64 Om (*.f64 l ky)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal -1/4 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (*.f64 (pow.f64 (/.f64 Om (*.f64 l ky)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om (*.f64 l ky)) #s(literal 1/8 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 (/.f64 Om (*.f64 l ky)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 (/.f64 Om (*.f64 l ky)) #s(literal 1/8 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 Om (*.f64 l ky)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 Om (*.f64 l ky)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om (*.f64 l ky)) #s(literal 1/8 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 Om (*.f64 l ky)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (/.f64 Om (*.f64 l ky)) #s(literal 2 binary64)) #s(literal 1/16 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)))))
(pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 Om (*.f64 l ky)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 Om (*.f64 l ky)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 Om (*.f64 l ky)))) #s(literal 1/2 binary64))

simplify196.0ms (1.8%)

Algorithm
egg-herbie
Rules
644×associate-*r*
558×associate-*l*
477×fma-define
401×associate-*r/
359×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0101921797
1256121253
Stop Event
node limit
Counts
490 → 508
Calls
Call 1
Inputs
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 ky l)))
(/.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 Om (pow.f64 ky #s(literal 2 binary64))) l)) (*.f64 #s(literal 1/4 binary64) (/.f64 Om l))) ky)
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/36 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/120 binary64) (/.f64 Om l))))) (*.f64 #s(literal 1/24 binary64) (/.f64 Om l))))) ky)
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 Om l)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 Om l)) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/36 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/120 binary64) (/.f64 Om l)))))))) (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 #s(literal -1/36 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/120 binary64) (/.f64 Om l))))))))) ky)
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
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#s(literal 1/2 binary64)
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#s(literal 1/2 binary64)
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#s(literal 1/2 binary64)
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#s(literal 1/2 binary64)
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#s(literal 1/2 binary64)
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(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 l (/.f64 (sin.f64 ky) Om)) #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (sqrt.f64 (-.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 l (/.f64 (sin.f64 ky) Om)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))))))
(pow.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64)))
(fabs.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 l (sin.f64 ky))) Om #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 Om (*.f64 l ky)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (/.f64 Om (*.f64 l ky)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om (*.f64 l ky)) #s(literal 1/8 binary64))))))
(*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 Om (*.f64 l ky)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))) (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))) (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 Om (*.f64 l ky)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om (*.f64 l ky)) #s(literal 1/8 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky))) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal -1/2 binary64)) (+.f64 (*.f64 (pow.f64 (/.f64 Om (*.f64 l ky)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal -1/4 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (*.f64 (pow.f64 (/.f64 Om (*.f64 l ky)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om (*.f64 l ky)) #s(literal 1/8 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 (/.f64 Om (*.f64 l ky)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 (/.f64 Om (*.f64 l ky)) #s(literal 1/8 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 Om (*.f64 l ky)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 Om (*.f64 l ky)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 Om (*.f64 l ky)) #s(literal 1/8 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 Om (*.f64 l ky)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (/.f64 Om (*.f64 l ky)) #s(literal 2 binary64)) #s(literal 1/16 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)))))
(pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 Om (*.f64 l ky)) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 Om (*.f64 l ky)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 Om (*.f64 l ky)))) #s(literal 1/2 binary64))
Outputs
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (sin.f64 ky)))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (sin.f64 ky)))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (sin.f64 ky)))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (sin.f64 ky)))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (sin.f64 ky)))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (sin.f64 ky)))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (sin.f64 ky)))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (sin.f64 ky)))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (sin.f64 ky)))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (sin.f64 ky)))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (sin.f64 ky)))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (sin.f64 ky)))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 ky l)))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)))
(*.f64 Om (/.f64 #s(literal 1/4 binary64) (*.f64 l ky)))
(/.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 Om (pow.f64 ky #s(literal 2 binary64))) l)) (*.f64 #s(literal 1/4 binary64) (/.f64 Om l))) ky)
(/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 Om (pow.f64 ky #s(literal 2 binary64))) l) (*.f64 #s(literal 1/4 binary64) (/.f64 Om l))) ky)
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om l) (*.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) Om) l) (pow.f64 ky #s(literal 2 binary64)))) ky)
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/36 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/120 binary64) (/.f64 Om l))))) (*.f64 #s(literal 1/24 binary64) (/.f64 Om l))))) ky)
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om l) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (*.f64 (/.f64 Om l) #s(literal -7/360 binary64))) (*.f64 #s(literal 1/24 binary64) (/.f64 Om l))))) ky)
(/.f64 (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (/.f64 Om l) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (*.f64 (/.f64 Om l) #s(literal 7/1440 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 Om l))) ky)
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om l)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 Om l)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 Om l)) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/36 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/120 binary64) (/.f64 Om l)))))))) (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 #s(literal -1/36 binary64) (/.f64 Om l)) (*.f64 #s(literal 1/120 binary64) (/.f64 Om l))))))))) ky)
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 Om l) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (/.f64 Om l) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (/.f64 Om l) (fma.f64 #s(literal 1/720 binary64) (/.f64 Om l) (*.f64 (*.f64 (/.f64 Om l) #s(literal -7/360 binary64)) #s(literal 1/6 binary64))))) (*.f64 (/.f64 Om l) #s(literal -7/360 binary64)))))))) ky)
(/.f64 (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (/.f64 Om l) (*.f64 #s(literal -1/4 binary64) (*.f64 (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 (/.f64 Om l) #s(literal 1/840 binary64)) (*.f64 (/.f64 Om l) #s(literal -7/2160 binary64))) (/.f64 (*.f64 Om #s(literal -7/360 binary64)) l)) (pow.f64 ky #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 Om l))) ky)
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (sin.f64 ky)))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (sin.f64 ky)))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (sin.f64 ky)))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (sin.f64 ky)))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (sin.f64 ky)))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (sin.f64 ky)))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (sin.f64 ky)))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (sin.f64 ky)))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (sin.f64 ky)))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (sin.f64 ky)))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om l) (sin.f64 ky)))
(*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky))))
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#s(literal 1/2 binary64)
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#s(literal 1/2 binary64)
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#s(literal 1/2 binary64)
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#s(literal 1/2 binary64)
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(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 ky l))))
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#s(literal 1/2 binary64)
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(fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))
(fma.f64 Om (/.f64 #s(literal 1/4 binary64) (*.f64 l ky)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 Om (*.f64 l ky)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 Om (*.f64 l ky)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l ky)) #s(literal 1/2 binary64))
(fma.f64 Om (/.f64 #s(literal 1/4 binary64) (*.f64 l ky)) #s(literal 1/2 binary64))

eval82.0ms (0.8%)

Compiler

Compiled 12294 to 2968 computations (75.9% saved)

prune95.0ms (0.9%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New5600560
Fresh000
Picked022
Done055
Total5607567
Accuracy
100.0%
Counts
567 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.9%
(sqrt.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om ky) l)) #s(literal 1/2 binary64)))
47.8%
(sqrt.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))) #s(literal 1/2 binary64)))
49.0%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
56.5%
(sqrt.f64 #s(literal 1/2 binary64))
47.8%
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 l (sin.f64 ky)) Om))) #s(literal 3/2 binary64)))
48.7%
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 3/2 binary64)))
63.1%
#s(literal 1 binary64)
Compiler

Compiled 248 to 145 computations (41.5% saved)

regimes74.0ms (0.7%)

Counts
11 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))
(sqrt.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om ky) l)) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))) #s(literal 1/2 binary64)))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 l (sin.f64 ky)) Om))) #s(literal 3/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 3/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
Outputs
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(sqrt.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om ky) l)) #s(literal 1/2 binary64)))
Calls

19 calls:

5.0ms
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
5.0ms
kx
5.0ms
(sin.f64 ky)
4.0ms
(*.f64 #s(literal 2 binary64) l)
4.0ms
Om
Results
AccuracySegmentsBranch
99.2%2l
97.6%1Om
97.6%1kx
97.6%1ky
99.6%2(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
99.6%2(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
99.6%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
99.6%2(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
99.6%2(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
99.6%2(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
99.6%2(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
99.6%2(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 2 binary64))
99.6%2(/.f64 (*.f64 #s(literal 2 binary64) l) Om)
99.2%2(*.f64 #s(literal 2 binary64) l)
97.6%1(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
97.6%1(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
97.6%1(sin.f64 kx)
97.6%1(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
97.6%1(sin.f64 ky)
Compiler

Compiled 275 to 198 computations (28% saved)

regimes21.0ms (0.2%)

Counts
9 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))
(sqrt.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om ky) l)) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 Om (*.f64 l (sin.f64 ky)))) #s(literal 1/2 binary64)))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 l (sin.f64 ky)) Om))) #s(literal 3/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 l Om) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal 3/2 binary64)))
Outputs
#s(literal 1 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
Calls

6 calls:

4.0ms
(sin.f64 ky)
3.0ms
(sin.f64 kx)
3.0ms
kx
3.0ms
ky
3.0ms
l
Results
AccuracySegmentsBranch
79.8%2Om
70.4%2kx
71.1%4ky
70.7%3(sin.f64 kx)
71.5%5(sin.f64 ky)
80.1%2l
Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes7.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
Calls

4 calls:

2.0ms
l
1.0ms
Om
1.0ms
kx
1.0ms
ky
Results
AccuracySegmentsBranch
63.1%1ky
63.1%1kx
63.1%1Om
63.1%1l
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1133564709236226e+151
7.282655381250377e+152
Compiler

Compiled 40 to 29 computations (27.5% saved)

bsearch28.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
9.542037955841674e-39
2.7203887034725255e-37
Results
22.0ms112×0valid
Compiler

Compiled 131 to 119 computations (9.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-sin: 5.0ms (28.4% of total)
ival-pow: 4.0ms (22.7% of total)
ival-sqrt: 3.0ms (17.1% of total)
ival-div: 2.0ms (11.4% of total)
ival-add: 2.0ms (11.4% of total)
ival-mult: 2.0ms (11.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative
+-commutative
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048179
162179
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))) (sqrt.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om ky) l)) #s(literal 1/2 binary64))))
(if (<=.f64 l #s(literal 1376851462496697/11972621413014756705924586149611790497021399392059392 binary64)) #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal 1 binary64)
Outputs
(if (<=.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))) (sqrt.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om ky) l)) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) Om) #s(literal 20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 l Om)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 Om ky) l)))))
(if (<=.f64 l #s(literal 1376851462496697/11972621413014756705924586149611790497021399392059392 binary64)) #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal 1 binary64)

soundness1.3s (12.2%)

Rules
958×log1p-expm1-u
958×expm1-log1p-u
830×associate-*r*
758×distribute-lft-in
693×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0158556697
1463255292
029266
1327254
24076254
083029770
1236928358
01421552
13561376
29681376
342701376
086830865
1242528051
2680928033
Stop Event
done
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 226 to 128 computations (43.4% saved)

preprocess128.0ms (1.2%)

Remove

(abs kx)

Compiler

Compiled 1062 to 712 computations (33% saved)

end0.0ms (0%)

Profiling

Loading profile data...