Migdal et al, Equation (64)

Time bar (total: 4.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 21 to 14 computations (33.3% saved)

sample937.0ms (21.3%)

Memory
28.6MiB live, 1 145.3MiB allocated; 213ms collecting garbage
Samples
664.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 436.0ms
ival-cos: 191.0ms (43.8% of total)
ival-mult!: 166.0ms (38.1% of total)
ival-div!: 49.0ms (11.2% of total)
ival-add!: 29.0ms (6.6% of total)
adjust: 2.0ms (0.5% of total)
Bogosity

preprocess65.0ms (1.5%)

Memory
-16.9MiB live, 27.5MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041133
1163133
2595133
31542133
43030133
54451133
67243133
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Symmetry

(abs a1)

(abs a2)

(abs th)

(sort a1 a2)

Compiler

Compiled 32 to 24 computations (25% saved)

series19.0ms (0.4%)

Memory
31.4MiB live, 31.4MiB allocated; 0ms collecting garbage
Counts
12 → 34
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(cos.f64 th)
th
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 a1 a1)
a1
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
(*.f64 a2 a2)
a2
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx a1 #s(hole binary64 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* a2 a2) #s(hole binary64 (pow a2 2)))
#s(approx a2 #s(hole binary64 a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a1 2) (sqrt 2))))))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (cos th) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (cos th) #s(hole binary64 (cos th)))
Calls

9 calls:

TimeVariablePointExpression
3.0ms
th
@-inf
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (* a1 a1) a1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* a2 a2) a2)
2.0ms
a1
@0
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (* a1 a1) a1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* a2 a2) a2)
2.0ms
th
@inf
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (* a1 a1) a1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* a2 a2) a2)
2.0ms
a2
@0
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (* a1 a1) a1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* a2 a2) a2)
2.0ms
th
@0
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (* a1 a1) a1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* a2 a2) a2)

rewrite189.0ms (4.3%)

Memory
-13.9MiB live, 214.2MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01581016
0172890
1999852
08444800
Stop Event
iter-limit
node-limit
iter-limit
Counts
46 → 152
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(cos.f64 th)
th
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 a1 a1)
a1
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
(*.f64 a2 a2)
a2
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx a1 #s(hole binary64 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* a2 a2) #s(hole binary64 (pow a2 2)))
#s(approx a2 #s(hole binary64 a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a1 2) (sqrt 2))))))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (cos th) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (cos th) #s(hole binary64 (cos th)))
Outputs
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (*.f64 (neg.f64 a2) a2) (cos.f64 th) (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (*.f64 (cos.f64 th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (neg.f64 a1) a1) (cos.f64 th) (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))) (neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) a2)))) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 th) a1) a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 th) a2) a2))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) a2))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) a1))) #s(literal 2 binary64))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 a1)) (neg.f64 a1) (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fabs.f64 a1)) (fabs.f64 a1) (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 a2)) (neg.f64 a2) (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fabs.f64 a2)) (fabs.f64 a2) (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2 (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1) (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2) (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(-.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1)) a1))
(-.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 a1) a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(-.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2)) a2))
(-.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 a2) a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))))) (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 a1)) (neg.f64 a1))
(*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fabs.f64 a1)) (fabs.f64 a1))
(*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
(*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (cos.f64 th))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 th) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 th (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 th) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 th) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 th)))
(cos.f64 (neg.f64 th))
(cos.f64 th)
(+.f64 (*.f64 (sin.f64 th) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
th
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(*.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a1)))
(*.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)))
(*.f64 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a1)))
(*.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)))
(*.f64 (neg.f64 a1) (neg.f64 a1))
(*.f64 (fabs.f64 a1) (fabs.f64 a1))
(*.f64 a1 a1)
(pow.f64 (exp.f64 (log.f64 a1)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a1) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a1) #s(literal 2 binary64))
(pow.f64 (*.f64 a1 a1) #s(literal 1 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 a1) a1))
(fabs.f64 (*.f64 a1 a1))
(exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64))))
a1
(*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 a2)) (neg.f64 a2))
(*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fabs.f64 a2)) (fabs.f64 a2))
(*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2)
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a2)))
(*.f64 (neg.f64 (fabs.f64 a2)) (neg.f64 (fabs.f64 a2)))
(*.f64 (fabs.f64 (fabs.f64 a2)) (fabs.f64 (fabs.f64 a2)))
(*.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)))
(*.f64 (neg.f64 a2) (neg.f64 a2))
(*.f64 (fabs.f64 a2) (fabs.f64 a2))
(*.f64 a2 a2)
(pow.f64 (exp.f64 (log.f64 a2)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a2) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a2) #s(literal 2 binary64))
(pow.f64 (*.f64 a2 a2) #s(literal 1 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 a2) a2))
(fabs.f64 (*.f64 a2 a2))
(exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))))
a2
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* a1 a1) (*.f64 a1 a1))
#s(approx a1 a1)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) a1) a1))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* a2 a2) (*.f64 a2 a2))
#s(approx a2 a2)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) th) th (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (*.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1)) (*.f64 th th) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a1 a1)) (*.f64 th th) (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (fma.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 a1 a1)) (*.f64 th th) (*.f64 #s(literal 1/24 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) th) th (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (cos th) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (cos th) (sqrt 2)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (cos th) (sqrt 2)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (cos th) (sqrt 2)) (fma.f64 (*.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (cos th) #s(literal 1 binary64))
#s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th) #s(literal -1/2 binary64)) th) th #s(literal 1 binary64)))
#s(approx th th)
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)) (*.f64 th th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a2 a2)) (*.f64 th th) (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (fma.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 a2 a2)) (*.f64 th th) (*.f64 #s(literal 1/24 binary64) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) th) th (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (cos th) (sqrt 2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (cos th) (cos.f64 th))

eval14.0ms (0.3%)

Memory
31.1MiB live, 31.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 826 to 564 computations (69.1% saved)

prune13.0ms (0.3%)

Memory
-20.9MiB live, 24.5MiB allocated; 4ms collecting garbage
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New12912141
Fresh000
Picked101
Done000
Total13012142
Accuracy
100.0%
Counts
142 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2 (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
99.7%
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) a1))) #s(literal 2 binary64))
99.6%
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
61.3%
(+.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
65.1%
(+.f64 (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
31.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
65.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
99.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
17.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
78.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) a1) a1))
99.6%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))
Compiler

Compiled 480 to 400 computations (16.7% saved)

series54.0ms (1.2%)

Memory
-17.6MiB live, 85.0MiB allocated; 11ms collecting garbage
Counts
26 → 115
Calls
Call 1
Inputs
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) a1))) #s(literal 2 binary64))
(fma.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) a1)))
(*.f64 (*.f64 (cos.f64 th) a2) a2)
(*.f64 (cos.f64 th) a2)
(cos.f64 th)
th
a2
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) a1))
(*.f64 (*.f64 (cos.f64 th) a1) a1)
(*.f64 (cos.f64 th) a1)
a1
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a2 a2 (*.f64 a1 a1))
(*.f64 a1 a1)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th)
(*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(literal -1/2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
Outputs
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) 2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) 2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) #s(hole binary64 (* (pow a2 2) (* (cos th) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) #s(hole binary64 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* (sqrt 2) (* (* (cos th) a1) a1)) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (* (pow a1 2) (cos th))))
#s(approx (* (cos th) a1) #s(hole binary64 (* a1 (cos th))))
#s(approx a1 #s(hole binary64 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (+ (* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) #s(hole binary64 (* -1/2 (/ (* (pow a2 2) th) (sqrt 2)))))
#s(approx (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) th) (sqrt 2))) (* -1/2 (/ (* (pow a2 2) th) (sqrt 2))))))
#s(approx (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* -1/2 (/ (pow a2 2) (sqrt 2)))))
#s(approx (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))))
#s(approx (/ (* (* (cos th) a1) a1) (sqrt 2)) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) 2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) 2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) #s(hole binary64 (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2))))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a1 2) (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (* (pow a1 2) (sqrt 2)))) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))))
#s(approx (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) #s(hole binary64 (* -1/2 (/ (* (pow a1 2) th) (sqrt 2)))))
#s(approx (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) #s(hole binary64 (* (pow a1 2) (+ (* -1/2 (/ th (sqrt 2))) (* -1/2 (/ (* (pow a2 2) th) (* (pow a1 2) (sqrt 2))))))))
#s(approx (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* -1/2 (/ (pow a1 2) (sqrt 2)))))
#s(approx (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a1 2) (- (* -1/2 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (* 1/2 (/ 1 (sqrt 2)))))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (* (pow a2 2) (cos th))))
#s(approx (* (cos th) a2) #s(hole binary64 (* a2 (cos th))))
#s(approx a2 #s(hole binary64 a2))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (+ (* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))) (/ (pow a1 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) 2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) #s(hole binary64 (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2))))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (* (pow a2 2) (sqrt 2)))) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))))
#s(approx (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) #s(hole binary64 (* (pow a2 2) (+ (* -1/2 (/ th (sqrt 2))) (* -1/2 (/ (* (pow a1 2) th) (* (pow a2 2) (sqrt 2))))))))
#s(approx (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (- (* -1/2 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (* 1/2 (/ 1 (sqrt 2)))))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) 2) #s(hole binary64 (+ (* 1/2 (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (+ (* -1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (+ (* -1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (+ (* 1/24 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))))))))))))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (pow a2 2)))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2))))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* 1/24 (* (pow a2 2) (pow th 2))))) (pow a2 2))))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a2 2))))
#s(approx (* (cos th) a2) #s(hole binary64 a2))
#s(approx (* (cos th) a2) #s(hole binary64 (+ a2 (* -1/2 (* a2 (pow th 2))))))
#s(approx (* (cos th) a2) #s(hole binary64 (+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))))
#s(approx (* (cos th) a2) #s(hole binary64 (+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2))))))))
#s(approx (cos th) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (* (sqrt 2) (* (* (cos th) a1) a1)) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (sqrt 2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* -1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* (pow a1 2) (sqrt 2)))))
#s(approx (* (sqrt 2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a1 2) (* (pow th 2) (sqrt 2)))))))))
#s(approx (* (sqrt 2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* 1/24 (* (pow a1 2) (sqrt 2))))))))))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (pow a1 2)))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (+ (* -1/2 (* (pow a1 2) (pow th 2))) (pow a1 2))))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* 1/24 (* (pow a1 2) (pow th 2))))) (pow a1 2))))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2)))))) (pow a1 2))))
#s(approx (* (cos th) a1) #s(hole binary64 a1))
#s(approx (* (cos th) a1) #s(hole binary64 (+ a1 (* -1/2 (* a1 (pow th 2))))))
#s(approx (* (cos th) a1) #s(hole binary64 (+ a1 (* (pow th 2) (+ (* -1/2 a1) (* 1/24 (* a1 (pow th 2))))))))
#s(approx (* (cos th) a1) #s(hole binary64 (+ a1 (* (pow th 2) (+ (* -1/2 a1) (* (pow th 2) (+ (* -1/720 (* a1 (pow th 2))) (* 1/24 a1))))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) #s(hole binary64 (* -1/2 (/ (* th (+ (pow a1 2) (pow a2 2))) (sqrt 2)))))
#s(approx (/ (* (* (cos th) a1) a1) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (* (* (cos th) a1) a1) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (/ (* (* (cos th) a1) a1) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (/ (* (* (cos th) a1) a1) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a1 2) (sqrt 2))))))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2)))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (+ (/ (pow a1 2) (* (pow th 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2))))))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ (cos th) (sqrt 2))))
Calls

9 calls:

TimeVariablePointExpression
8.0ms
a1
@inf
((/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) 2) (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) (* (* (cos th) a2) a2) (* (cos th) a2) (cos th) th a2 (sqrt 2) 2 (* (sqrt 2) (* (* (cos th) a1) a1)) (* (* (cos th) a1) a1) (* (cos th) a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) -1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* (cos th) a1) a1) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)))
8.0ms
a1
@-inf
((/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) 2) (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) (* (* (cos th) a2) a2) (* (cos th) a2) (cos th) th a2 (sqrt 2) 2 (* (sqrt 2) (* (* (cos th) a1) a1)) (* (* (cos th) a1) a1) (* (cos th) a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) -1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* (cos th) a1) a1) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)))
7.0ms
th
@-inf
((/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) 2) (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) (* (* (cos th) a2) a2) (* (cos th) a2) (cos th) th a2 (sqrt 2) 2 (* (sqrt 2) (* (* (cos th) a1) a1)) (* (* (cos th) a1) a1) (* (cos th) a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) -1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* (cos th) a1) a1) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)))
6.0ms
a1
@0
((/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) 2) (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) (* (* (cos th) a2) a2) (* (cos th) a2) (cos th) th a2 (sqrt 2) 2 (* (sqrt 2) (* (* (cos th) a1) a1)) (* (* (cos th) a1) a1) (* (cos th) a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) -1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* (cos th) a1) a1) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)))
5.0ms
a2
@inf
((/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) 2) (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) (* (* (cos th) a2) a2) (* (cos th) a2) (cos th) th a2 (sqrt 2) 2 (* (sqrt 2) (* (* (cos th) a1) a1)) (* (* (cos th) a1) a1) (* (cos th) a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) -1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* (cos th) a1) a1) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)))

rewrite250.0ms (5.7%)

Memory
17.6MiB live, 217.6MiB allocated; 138ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04754108
05223593
130353554
084033462
Stop Event
iter-limit
node-limit
iter-limit
Counts
141 → 368
Calls
Call 1
Inputs
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) a1))) #s(literal 2 binary64))
(fma.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) a1)))
(*.f64 (*.f64 (cos.f64 th) a2) a2)
(*.f64 (cos.f64 th) a2)
(cos.f64 th)
th
a2
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) a1))
(*.f64 (*.f64 (cos.f64 th) a1) a1)
(*.f64 (cos.f64 th) a1)
a1
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a2 a2 (*.f64 a1 a1))
(*.f64 a1 a1)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th)
(*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(literal -1/2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) 2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) 2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) #s(hole binary64 (* (pow a2 2) (* (cos th) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) #s(hole binary64 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* (sqrt 2) (* (* (cos th) a1) a1)) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (* (pow a1 2) (cos th))))
#s(approx (* (cos th) a1) #s(hole binary64 (* a1 (cos th))))
#s(approx a1 #s(hole binary64 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (+ (* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) #s(hole binary64 (* -1/2 (/ (* (pow a2 2) th) (sqrt 2)))))
#s(approx (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) th) (sqrt 2))) (* -1/2 (/ (* (pow a2 2) th) (sqrt 2))))))
#s(approx (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* -1/2 (/ (pow a2 2) (sqrt 2)))))
#s(approx (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))))
#s(approx (/ (* (* (cos th) a1) a1) (sqrt 2)) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) 2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) 2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) #s(hole binary64 (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2))))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a1 2) (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (* (pow a1 2) (sqrt 2)))) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))))
#s(approx (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) #s(hole binary64 (* -1/2 (/ (* (pow a1 2) th) (sqrt 2)))))
#s(approx (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) #s(hole binary64 (* (pow a1 2) (+ (* -1/2 (/ th (sqrt 2))) (* -1/2 (/ (* (pow a2 2) th) (* (pow a1 2) (sqrt 2))))))))
#s(approx (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* -1/2 (/ (pow a1 2) (sqrt 2)))))
#s(approx (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a1 2) (- (* -1/2 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (* 1/2 (/ 1 (sqrt 2)))))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (* (pow a2 2) (cos th))))
#s(approx (* (cos th) a2) #s(hole binary64 (* a2 (cos th))))
#s(approx a2 #s(hole binary64 a2))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (+ (* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))) (/ (pow a1 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) 2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) #s(hole binary64 (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2))))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (* (pow a2 2) (sqrt 2)))) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))))
#s(approx (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) #s(hole binary64 (* (pow a2 2) (+ (* -1/2 (/ th (sqrt 2))) (* -1/2 (/ (* (pow a1 2) th) (* (pow a2 2) (sqrt 2))))))))
#s(approx (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (- (* -1/2 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (* 1/2 (/ 1 (sqrt 2)))))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) 2) #s(hole binary64 (+ (* 1/2 (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) 2) #s(hole binary64 (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (+ (* -1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (+ (* -1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (+ (* 1/24 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))))))))))))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (pow a2 2)))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2))))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* 1/24 (* (pow a2 2) (pow th 2))))) (pow a2 2))))
#s(approx (* (* (cos th) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a2 2))))
#s(approx (* (cos th) a2) #s(hole binary64 a2))
#s(approx (* (cos th) a2) #s(hole binary64 (+ a2 (* -1/2 (* a2 (pow th 2))))))
#s(approx (* (cos th) a2) #s(hole binary64 (+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))))
#s(approx (* (cos th) a2) #s(hole binary64 (+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2))))))))
#s(approx (cos th) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (* (sqrt 2) (* (* (cos th) a1) a1)) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (sqrt 2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* -1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* (pow a1 2) (sqrt 2)))))
#s(approx (* (sqrt 2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a1 2) (* (pow th 2) (sqrt 2)))))))))
#s(approx (* (sqrt 2) (* (* (cos th) a1) a1)) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* 1/24 (* (pow a1 2) (sqrt 2))))))))))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (pow a1 2)))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (+ (* -1/2 (* (pow a1 2) (pow th 2))) (pow a1 2))))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* 1/24 (* (pow a1 2) (pow th 2))))) (pow a1 2))))
#s(approx (* (* (cos th) a1) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2)))))) (pow a1 2))))
#s(approx (* (cos th) a1) #s(hole binary64 a1))
#s(approx (* (cos th) a1) #s(hole binary64 (+ a1 (* -1/2 (* a1 (pow th 2))))))
#s(approx (* (cos th) a1) #s(hole binary64 (+ a1 (* (pow th 2) (+ (* -1/2 a1) (* 1/24 (* a1 (pow th 2))))))))
#s(approx (* (cos th) a1) #s(hole binary64 (+ a1 (* (pow th 2) (+ (* -1/2 a1) (* (pow th 2) (+ (* -1/720 (* a1 (pow th 2))) (* 1/24 a1))))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) #s(hole binary64 (* -1/2 (/ (* th (+ (pow a1 2) (pow a2 2))) (sqrt 2)))))
#s(approx (/ (* (* (cos th) a1) a1) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (* (* (cos th) a1) a1) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (/ (* (* (cos th) a1) a1) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (/ (* (* (cos th) a1) a1) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a1 2) (sqrt 2))))))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2)))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (+ (/ (pow a1 2) (* (pow th 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2))))))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ (cos th) (sqrt 2))))
Outputs
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))))
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(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) a2) (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 th) a1) a1)))
(+.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(*.f64 (*.f64 (cos.f64 th) a2) a2)
(*.f64 (cos.f64 th) (*.f64 a2 a2))
(*.f64 a2 (*.f64 (cos.f64 th) a2))
(*.f64 (cos.f64 th) a2)
(*.f64 a2 (cos.f64 th))
(sin.f64 (+.f64 (neg.f64 th) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 th (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 th) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 th) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 th)))
(cos.f64 (neg.f64 th))
(cos.f64 th)
(+.f64 (*.f64 (sin.f64 th) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
th
a2
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) a1)) a1)
(*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1))
(*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) a1))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(*.f64 (*.f64 (cos.f64 th) a1) a1)
(*.f64 (cos.f64 th) (*.f64 a1 a1))
(*.f64 a1 (*.f64 (cos.f64 th) a1))
(*.f64 (cos.f64 th) a1)
(*.f64 a1 (cos.f64 th))
a1
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) #s(literal 2 binary64)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) #s(literal 2 binary64)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal -2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 a2 a2)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 a1 a1)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) #s(literal 2 binary64)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) #s(literal 2 binary64)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 2 binary64))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)))) (neg.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)))) (neg.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 a1 a1) a1)))) (neg.f64 (fma.f64 (*.f64 a2 a2) (*.f64 a2 a2) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2)))) (neg.f64 (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a2 a2))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (fma.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 a1 a1) a1))) (fma.f64 (*.f64 a2 a2) (*.f64 a2 a2) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (fma.f64 (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2))) (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a1)) (*.f64 a2 a2))
(fma.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)) (*.f64 a2 a2))
(fma.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a2)) (*.f64 a1 a1))
(fma.f64 (neg.f64 (fabs.f64 a2)) (neg.f64 (fabs.f64 a2)) (*.f64 a1 a1))
(fma.f64 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a1)) (*.f64 a2 a2))
(fma.f64 (fabs.f64 (fabs.f64 a2)) (fabs.f64 (fabs.f64 a2)) (*.f64 a1 a1))
(fma.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)) (*.f64 a2 a2))
(fma.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)) (*.f64 a1 a1))
(fma.f64 (neg.f64 a2) (neg.f64 a2) (*.f64 a1 a1))
(fma.f64 (neg.f64 a1) (neg.f64 a1) (*.f64 a2 a2))
(fma.f64 (fabs.f64 a2) (fabs.f64 a2) (*.f64 a1 a1))
(fma.f64 (fabs.f64 a1) (fabs.f64 a1) (*.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(-.f64 (*.f64 a2 a2) (*.f64 (neg.f64 a1) a1))
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(+.f64 (*.f64 a2 a2) (*.f64 a1 a1))
(*.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a1)))
(*.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)))
(*.f64 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a1)))
(*.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)))
(*.f64 (neg.f64 a1) (neg.f64 a1))
(*.f64 (fabs.f64 a1) (fabs.f64 a1))
(*.f64 a1 a1)
(pow.f64 (exp.f64 (log.f64 a1)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a1) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a1) #s(literal 2 binary64))
(pow.f64 (*.f64 a1 a1) #s(literal 1 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(fabs.f64 (*.f64 a1 a1))
(exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) th) th (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) th) th) #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) th) th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) th) th) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) th) th) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) th) th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) th) th) #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) th) th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) th) th) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) th) th) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) th) th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))))
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 th th) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) th) th (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 th (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) th) th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) th) th))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) th)
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) th))
(*.f64 th (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) #s(literal 2 binary64)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) #s(literal 2 binary64)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) #s(literal 2 binary64)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) #s(literal 2 binary64)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(literal -1/2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
(*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))))) #s(literal 2 binary64))
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(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
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(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (cos.f64 th)) (*.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
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(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a2 a2))) (cos.f64 th)) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
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(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 a1 a1) a1))) (cos.f64 th)) (*.f64 (fma.f64 (*.f64 a2 a2) (*.f64 a2 a2) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2))) (neg.f64 (cos.f64 th))) (*.f64 (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2))) (cos.f64 th)) (*.f64 (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))))
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(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (fma.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 a1 a1) a1)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 a2 a2) (*.f64 a2 a2) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (fma.f64 (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 a1 a1) a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 a2 a2) (*.f64 a2 a2) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 th) a2) a2))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 th) a1) a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 4 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64))))
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(/.f64 (neg.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
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(/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 2 binary64))
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(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2 (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
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(/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (* (sqrt 2) (* (* (cos th) a1) a1)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (cos th) a1) a1) (*.f64 (*.f64 (cos.f64 th) a1) a1))
#s(approx (* (cos th) a1) (*.f64 (cos.f64 th) a1))
#s(approx a1 a1)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
#s(approx (+ (* a2 a2) (* a1 a1)) (fma.f64 a1 a1 (*.f64 a2 a2)))
#s(approx (* a1 a1) (*.f64 a1 a1))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (fma.f64 (/.f64 (*.f64 (*.f64 a2 th) (*.f64 a2 th)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (fma.f64 (/.f64 (*.f64 (*.f64 a2 th) (*.f64 a2 th)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a2 a2) th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a1 a1) (/.f64 th (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (/.f64 th (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* (* (cos th) a1) a1) (sqrt 2)) (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))) (*.f64 a1 a1)))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (+.f64 (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (*.f64 (*.f64 a2 a2) (/.f64 (*.f64 th th) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1/2 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 a1 a1)))
#s(approx (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a1 a1) th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) (*.f64 (*.f64 a1 a1) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 th (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 a2 a2) th) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (* (* (cos th) a2) a2) (*.f64 (*.f64 (cos.f64 th) a2) a2))
#s(approx (* (cos th) a2) (*.f64 (cos.f64 th) a2))
#s(approx a2 a2)
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (fma.f64 (*.f64 (*.f64 a1 a1) (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (fma.f64 (*.f64 (*.f64 a1 a1) (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))) (*.f64 a2 a2)))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (*.f64 a2 a2)))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (*.f64 (*.f64 a1 a1) (/.f64 (*.f64 th th) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1/2 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 a2 a2)))
#s(approx (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) (*.f64 (*.f64 a2 a2) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 th (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 a1 a1) th) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 th th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 th th) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))))) (*.f64 th th) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 th th) (*.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))))) (*.f64 th th) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 1/2 binary64))) (*.f64 th th))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 th th))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 th th))) (*.f64 th th))))
#s(approx (+ (* (* (* (cos th) a2) a2) (sqrt 2)) (* (sqrt 2) (* (* (cos th) a1) a1))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th))))
#s(approx (* (* (cos th) a2) a2) (*.f64 a2 a2))
#s(approx (* (* (cos th) a2) a2) (fma.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th) (*.f64 a2 a2)))
#s(approx (* (* (cos th) a2) a2) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a2 a2)) (*.f64 th th) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))) (*.f64 a2 a2)))
#s(approx (* (* (cos th) a2) a2) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 a2 a2)) (*.f64 th th) (*.f64 #s(literal 1/24 binary64) (*.f64 a2 a2))) (*.f64 th th) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 a2 a2)))
#s(approx (* (cos th) a2) a2)
#s(approx (* (cos th) a2) (fma.f64 (*.f64 (*.f64 th th) a2) #s(literal -1/2 binary64) a2))
#s(approx (* (cos th) a2) (fma.f64 (fma.f64 (*.f64 (*.f64 th th) a2) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) a2)) (*.f64 th th) a2))
#s(approx (* (cos th) a2) (fma.f64 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 (*.f64 th th) a2) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) a2)) (*.f64 #s(literal -1/2 binary64) a2)) (*.f64 th th) a2))
#s(approx (cos th) #s(literal 1 binary64))
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx th th)
#s(approx (* (sqrt 2) (* (* (cos th) a1) a1)) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt 2) (* (* (cos th) a1) a1)) (fma.f64 (*.f64 (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) #s(literal -1/2 binary64) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (sqrt 2) (* (* (cos th) a1) a1)) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) #s(literal 1/24 binary64))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (sqrt 2) (* (* (cos th) a1) a1)) (fma.f64 (fma.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) #s(literal -1/720 binary64))) (*.f64 th th))) (*.f64 th th) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (cos th) a1) a1) (*.f64 a1 a1))
#s(approx (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 th th) (*.f64 a1 a1)))
#s(approx (* (* (cos th) a1) a1) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a1 a1)) (*.f64 th th) (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64))) (*.f64 a1 a1)))
#s(approx (* (* (cos th) a1) a1) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 a1 a1)) (*.f64 th th) (*.f64 #s(literal 1/24 binary64) (*.f64 a1 a1))) (*.f64 th th) (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 a1 a1)))
#s(approx (* (cos th) a1) a1)
#s(approx (* (cos th) a1) (fma.f64 (*.f64 (*.f64 th th) a1) #s(literal -1/2 binary64) a1))
#s(approx (* (cos th) a1) (fma.f64 (fma.f64 (*.f64 (*.f64 th th) a1) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) a1)) (*.f64 th th) a1))
#s(approx (* (cos th) a1) (fma.f64 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 (*.f64 th th) a1) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) a1)) (*.f64 #s(literal -1/2 binary64) a1)) (*.f64 th th) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) th) th (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (fma.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* (* (cos th) a1) a1) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* (* (cos th) a1) a1) (sqrt 2)) (fma.f64 (*.f64 (*.f64 a1 a1) (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (* (cos th) a1) a1) (sqrt 2)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a1 a1) (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (* (cos th) a1) a1) (sqrt 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 a1 a1) (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/24 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/720 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (cos th) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (cos th) (sqrt 2)) (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (cos th) (sqrt 2)) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (cos th) (sqrt 2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (cos th) (cos.f64 th))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (/ (cos th) (sqrt 2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))

eval48.0ms (1.1%)

Memory
-15.5MiB live, 74.1MiB allocated; 11ms collecting garbage
Compiler

Compiled 6 990 to 1 725 computations (75.3% saved)

prune32.0ms (0.7%)

Memory
-8.5MiB live, 49.5MiB allocated; 7ms collecting garbage
Pruning

32 alts after pruning (29 fresh and 3 done)

PrunedKeptTotal
New44128469
Fresh617
Picked235
Done000
Total44932481
Accuracy
100.0%
Counts
481 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
86.3%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (*.f64 a2 a2))))
99.2%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)))
63.4%
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
61.6%
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
63.4%
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
65.1%
(*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
31.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
10.5%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
64.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
65.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
65.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
65.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
18.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
99.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
17.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
17.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
17.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
14.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (* (cos th) a1) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
53.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
65.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
17.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
99.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
17.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
99.6%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
65.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
17.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
53.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
46.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (fma.f64 (/.f64 (*.f64 (*.f64 a2 th) (*.f64 a2 th)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
13.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
63.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
18.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
Compiler

Compiled 1 599 to 1 293 computations (19.1% saved)

series47.0ms (1.1%)

Memory
0.4MiB live, 46.5MiB allocated; 4ms collecting garbage
Counts
34 → 94
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 th)
th
(fma.f64 a1 a1 (*.f64 a2 a2))
a1
(*.f64 a2 a2)
a2
#s(literal 1/2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 th th)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(fma.f64 a2 a2 (*.f64 a1 a1))
(*.f64 a1 a1)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(log.f64 #s(literal 2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
(*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1)
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx a1 #s(hole binary64 a1))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (/ (* a1 (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* a2 a2) #s(hole binary64 (pow a2 2)))
#s(approx a2 #s(hole binary64 a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (+ (* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/48 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/1440 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/48 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* -1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/24 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (sqrt 2)))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (+ (sqrt 2) (* -1/2 (* (pow th 2) (sqrt 2))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (+ (sqrt 2) (* (pow th 2) (+ (* -1/2 (sqrt 2)) (* 1/24 (* (pow th 2) (sqrt 2))))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (+ (sqrt 2) (* (pow th 2) (+ (* -1/2 (sqrt 2)) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (sqrt 2))) (* 1/24 (sqrt 2)))))))))
#s(approx (cos th) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (+ (* (* th th) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* th th) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (* th th) #s(hole binary64 (pow th 2)))
#s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a1 2) (sqrt 2))))))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (/ a1 (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (+ (* -1/2 (/ (* a1 (pow th 2)) (sqrt 2))) (/ a1 (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ a1 (sqrt 2))) (* 1/24 (/ (* a1 (pow th 2)) (sqrt 2))))) (/ a1 (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ a1 (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* a1 (pow th 2)) (sqrt 2))) (* 1/24 (/ a1 (sqrt 2))))))) (/ a1 (sqrt 2)))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (* (cos th) (sqrt 2))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (+ (* (* th th) -1/2) 1) #s(hole binary64 (* -1/2 (pow th 2))))
#s(approx (+ (* (* th th) -1/2) 1) #s(hole binary64 (* (pow th 2) (- (/ 1 (pow th 2)) 1/2))))
Calls

9 calls:

TimeVariablePointExpression
18.0ms
th
@inf
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (* (sqrt 2) (cos th)) (sqrt 2) 2 (cos th) th (+ (* a1 a1) (* a2 a2)) a1 (* a2 a2) a2 1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)) (cos th) (+ (* (* th th) -1/2) 1) (* th th) -1/2 1 (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (exp (* (log 2) 1/2)) (* (log 2) 1/2) (log 2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) a1) (/ (cos th) (sqrt 2)))
8.0ms
th
@0
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (* (sqrt 2) (cos th)) (sqrt 2) 2 (cos th) th (+ (* a1 a1) (* a2 a2)) a1 (* a2 a2) a2 1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)) (cos th) (+ (* (* th th) -1/2) 1) (* th th) -1/2 1 (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (exp (* (log 2) 1/2)) (* (log 2) 1/2) (log 2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) a1) (/ (cos th) (sqrt 2)))
4.0ms
th
@-inf
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (* (sqrt 2) (cos th)) (sqrt 2) 2 (cos th) th (+ (* a1 a1) (* a2 a2)) a1 (* a2 a2) a2 1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)) (cos th) (+ (* (* th th) -1/2) 1) (* th th) -1/2 1 (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (exp (* (log 2) 1/2)) (* (log 2) 1/2) (log 2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) a1) (/ (cos th) (sqrt 2)))
3.0ms
a1
@inf
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (* (sqrt 2) (cos th)) (sqrt 2) 2 (cos th) th (+ (* a1 a1) (* a2 a2)) a1 (* a2 a2) a2 1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)) (cos th) (+ (* (* th th) -1/2) 1) (* th th) -1/2 1 (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (exp (* (log 2) 1/2)) (* (log 2) 1/2) (log 2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) a1) (/ (cos th) (sqrt 2)))
3.0ms
a1
@-inf
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (* (sqrt 2) (cos th)) (sqrt 2) 2 (cos th) th (+ (* a1 a1) (* a2 a2)) a1 (* a2 a2) a2 1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)) (cos th) (+ (* (* th th) -1/2) 1) (* th th) -1/2 1 (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (exp (* (log 2) 1/2)) (* (log 2) 1/2) (log 2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) a1) (/ (cos th) (sqrt 2)))

rewrite181.0ms (4.1%)

Memory
22.9MiB live, 206.0MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03642936
04002667
121162602
089842538
Stop Event
iter-limit
node-limit
iter-limit
Counts
128 → 377
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 th)
th
(fma.f64 a1 a1 (*.f64 a2 a2))
a1
(*.f64 a2 a2)
a2
#s(literal 1/2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 th th)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(fma.f64 a2 a2 (*.f64 a1 a1))
(*.f64 a1 a1)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(log.f64 #s(literal 2 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
(*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1)
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx a1 #s(hole binary64 a1))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (/ (* a1 (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* a2 a2) #s(hole binary64 (pow a2 2)))
#s(approx a2 #s(hole binary64 a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (+ (* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/48 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/1440 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/48 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* -1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/24 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (sqrt 2)))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (+ (sqrt 2) (* -1/2 (* (pow th 2) (sqrt 2))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (+ (sqrt 2) (* (pow th 2) (+ (* -1/2 (sqrt 2)) (* 1/24 (* (pow th 2) (sqrt 2))))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (+ (sqrt 2) (* (pow th 2) (+ (* -1/2 (sqrt 2)) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (sqrt 2))) (* 1/24 (sqrt 2)))))))))
#s(approx (cos th) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (+ (* (* th th) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* th th) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (* th th) #s(hole binary64 (pow th 2)))
#s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a1 2) (sqrt 2))))))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (/ a1 (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (+ (* -1/2 (/ (* a1 (pow th 2)) (sqrt 2))) (/ a1 (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ a1 (sqrt 2))) (* 1/24 (/ (* a1 (pow th 2)) (sqrt 2))))) (/ a1 (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ a1 (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* a1 (pow th 2)) (sqrt 2))) (* 1/24 (/ a1 (sqrt 2))))))) (/ a1 (sqrt 2)))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) #s(hole binary64 (* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (* (cos th) (sqrt 2))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (+ (* (* th th) -1/2) 1) #s(hole binary64 (* -1/2 (pow th 2))))
#s(approx (+ (* (* th th) -1/2) 1) #s(hole binary64 (* (pow th 2) (- (/ 1 (pow th 2)) 1/2))))
Outputs
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))))
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (cos.f64 th) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)))
(fma.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))
(fma.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))
(fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)))
(fma.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))) (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))))
(-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 (neg.f64 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))))) (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(literal 2 binary64)
(sin.f64 (+.f64 (neg.f64 th) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 th (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 th) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 th) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 th)))
(cos.f64 (neg.f64 th))
(cos.f64 th)
(+.f64 (*.f64 (sin.f64 th) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
th
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)))) (neg.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)))) (neg.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 a2 a2) (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1)))) (neg.f64 (fma.f64 (*.f64 a2 a2) (*.f64 a2 a2) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1) (*.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 a2 a2)))) (neg.f64 (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a2 a2))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (fma.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 a2 a2) (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1))) (fma.f64 (*.f64 a2 a2) (*.f64 a2 a2) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (fma.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1) (*.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 a2 a2))) (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a2)) (*.f64 a1 a1))
(fma.f64 (neg.f64 (fabs.f64 a2)) (neg.f64 (fabs.f64 a2)) (*.f64 a1 a1))
(fma.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a1)) (*.f64 a2 a2))
(fma.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)) (*.f64 a2 a2))
(fma.f64 (fabs.f64 (fabs.f64 a2)) (fabs.f64 (fabs.f64 a2)) (*.f64 a1 a1))
(fma.f64 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a1)) (*.f64 a2 a2))
(fma.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)) (*.f64 a2 a2))
(fma.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)) (*.f64 a1 a1))
(fma.f64 (neg.f64 a1) (neg.f64 a1) (*.f64 a2 a2))
(fma.f64 (neg.f64 a2) (neg.f64 a2) (*.f64 a1 a1))
(fma.f64 (fabs.f64 a1) (fabs.f64 a1) (*.f64 a2 a2))
(fma.f64 (fabs.f64 a2) (fabs.f64 a2) (*.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 a1 a1 (*.f64 a2 a2))
(-.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(-.f64 (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(-.f64 (*.f64 a1 a1) (*.f64 (neg.f64 a2) a2))
(-.f64 (*.f64 a2 a2) (*.f64 (neg.f64 a1) a1))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 a2 a2)) (fma.f64 (*.f64 a2 a2) (*.f64 a2 a2) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1)) (fma.f64 (*.f64 a2 a2) (*.f64 a2 a2) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1)) (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2))))) (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 a2 a2)) (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(+.f64 (*.f64 a2 a2) (*.f64 a1 a1))
a1
(*.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a2)))
(*.f64 (neg.f64 (fabs.f64 a2)) (neg.f64 (fabs.f64 a2)))
(*.f64 (fabs.f64 (fabs.f64 a2)) (fabs.f64 (fabs.f64 a2)))
(*.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)))
(*.f64 (neg.f64 a2) (neg.f64 a2))
(*.f64 (fabs.f64 a2) (fabs.f64 a2))
(*.f64 a2 a2)
(pow.f64 (exp.f64 (log.f64 a2)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a2) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a2) #s(literal 2 binary64))
(pow.f64 (*.f64 a2 a2) #s(literal 1 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(fabs.f64 (*.f64 a2 a2))
(exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))))
a2
#s(literal 1/2 binary64)
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a1 a1) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 a1 a1) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a1 a1) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a1 a1) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) (-.f64 (*.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))))
(/.f64 (neg.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (neg.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (*.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a2 a2))) (neg.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a2 a2))) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 a2 a2) (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1))) (neg.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (*.f64 (fma.f64 (*.f64 a2 a2) (*.f64 a2 a2) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 a2 a2) (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1))) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (fma.f64 (*.f64 a2 a2) (*.f64 a2 a2) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1) (*.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 a2 a2))) (neg.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (*.f64 (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1) (*.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 a2 a2))) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (*.f64 (neg.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (neg.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 a2 a2) (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 a2 a2) (*.f64 a2 a2) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))
(/.f64 (*.f64 (neg.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1) (*.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 a2 a2)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(/.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 a2 a2) (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 a2 a2) (*.f64 a2 a2) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))
(/.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1) (*.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(/.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2) (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
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(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 2 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(log.f64 (sqrt.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (*.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a1))
(*.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a1)
(*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1)
(/.f64 (neg.f64 (neg.f64 (*.f64 a1 (cos.f64 th)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 a1 (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (cos.f64 th))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
#s(approx (+ (* a2 a2) (* a1 a1)) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx a1 a1)
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
#s(approx (+ (* a2 a2) (* a1 a1)) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (* a1 a1) (*.f64 a1 a1))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) (*.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a1))
#s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (*.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a1))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a2 a2) a1) (/.f64 (cos.f64 th) a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) (*.f64 a1 a1)))) (*.f64 a1 a1)))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) (*.f64 a1 a1))) (*.f64 a1 a1)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (*.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a1))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a2 a2) a1) (/.f64 (cos.f64 th) a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (* a2 a2) (*.f64 a2 a2))
#s(approx a2 a2)
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (*.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 th) a2) (/.f64 (*.f64 a1 a1) a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 a2 a2)))) (*.f64 a2 a2)))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 a2 a2))) (*.f64 a2 a2)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 a2 a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 a2 a2)))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (*.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 th) a2) (/.f64 (*.f64 a1 a1) a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (fma.f64 (fma.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (fma.f64 (fma.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 th th)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 th th)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (fma.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 th th)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/48 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))) (*.f64 th th))) (*.f64 th th))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (fma.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))) (*.f64 th th) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 th th)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))) (*.f64 th th))) (*.f64 th th) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (sqrt 2) (cos th)) (fma.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt 2) (cos th)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt 2) (cos th)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (cos th) #s(literal 1 binary64))
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx th th)
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 th th) (fma.f64 a2 a2 (*.f64 a1 a1))) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 th th) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 #s(literal -1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 th th) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 #s(literal 1/24 binary64) (fma.f64 a2 a2 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (cos th) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (cos th) (sqrt 2)) (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (cos th) (sqrt 2)) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (cos th) (sqrt 2)) (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (* th th) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* th th) -1/2) 1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* th th) (*.f64 th th))
#s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a1 th) (*.f64 a1 th)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a1 th) (*.f64 a1 th)) (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 a1 th) (*.f64 a1 th)) (*.f64 #s(literal 1/24 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 th th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 th th) a1) (*.f64 #s(literal -1/2 binary64) a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) a1 (*.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 th th) a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 th th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) 1/2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
#s(approx (* (* (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (* (sqrt 2) (cos th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
#s(approx (cos th) (cos.f64 th))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (/ (cos th) (sqrt 2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))
#s(approx (+ (* (* th th) -1/2) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th)))

eval37.0ms (0.8%)

Memory
25.5MiB live, 70.9MiB allocated; 4ms collecting garbage
Compiler

Compiled 5 007 to 1 565 computations (68.7% saved)

prune39.0ms (0.9%)

Memory
-28.2MiB live, 71.1MiB allocated; 10ms collecting garbage
Pruning

41 alts after pruning (34 fresh and 7 done)

PrunedKeptTotal
New34515360
Fresh51924
Picked145
Done033
Total35141392
Accuracy
100.0%
Counts
392 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.4%
(/.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
63.4%
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
61.6%
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
63.4%
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))))
65.1%
(*.f64 (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
10.5%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
64.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
65.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
65.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
65.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
18.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
99.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
17.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
17.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
17.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
14.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (* (cos th) a1) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
53.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
64.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (+.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))))
65.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
63.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
17.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a1))
17.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
99.6%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 1/2 binary64)))
99.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
17.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
99.6%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
17.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))) #s(literal 1/2 binary64)))
63.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
65.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
17.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 th th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))) a1))
14.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1))
53.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
37.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
65.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
46.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (fma.f64 (/.f64 (*.f64 (*.f64 a2 th) (*.f64 a2 th)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
13.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
63.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
18.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
11.5%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a1 th) (*.f64 a1 th)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
99.2%
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
Compiler

Compiled 2 058 to 1 674 computations (18.7% saved)

series58.0ms (1.3%)

Memory
17.1MiB live, 109.7MiB allocated; 6ms collecting garbage
Counts
42 → 152
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a2 a2 (*.f64 a1 a1))
a2
(*.f64 a1 a1)
a1
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 th)
th
#s(literal 1/2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1))
(*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1)
#s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
(/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))
(/.f64 a1 a2)
#s(literal 1 binary64)
(*.f64 a2 a2)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
(*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))
(+.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th)))
(*.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))
(fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a1 a1 (*.f64 a2 a2))
#s(literal -1/2 binary64)
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 th th)
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) #s(hole binary64 (* (pow a2 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) #s(hole binary64 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (sqrt 2))))
#s(approx (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx a1 #s(hole binary64 a1))
#s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (/ (* a1 (cos th)) (sqrt 2))))
#s(approx (/ a1 (sqrt 2)) #s(hole binary64 (/ a1 (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) #s(hole binary64 (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 (+ 1 (/ (pow a1 2) (pow a2 2)))))
#s(approx (/ a1 a2) #s(hole binary64 (/ a1 a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (* a2 a2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (* a2 a2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) #s(hole binary64 (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))))
#s(approx (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) #s(hole binary64 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (+ (* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) #s(hole binary64 (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) #s(hole binary64 (+ (* (pow a1 2) (* (pow th 2) (- (/ 1 (* (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))) (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2))))))))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) #s(hole binary64 (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2))))))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) #s(hole binary64 (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (+ (* (pow a1 2) (- (/ 1 (* (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2))) #s(hole binary64 (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2))) #s(hole binary64 (+ (/ (pow a1 2) (* (pow th 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) #s(hole binary64 (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))))
#s(approx (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
#s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 (/ (pow a1 2) (pow a2 2))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (* a2 a2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (* (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (* a2 a2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) #s(hole binary64 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
#s(approx (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2))))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a1 2) (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (* (pow a1 2) (sqrt 2)))) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) #s(hole binary64 (* (pow a1 2) (* (pow th 2) (- (/ 1 (* (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) #s(hole binary64 (* (pow a1 2) (+ (* (pow th 2) (- (/ 1 (* (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2))))) (pow a1 2))))))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) #s(hole binary64 (* (pow a1 2) (- (/ 1 (* (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) #s(hole binary64 (* (pow a1 2) (- (+ (* -1/2 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (+ (/ 1 (* (pow th 2) (sqrt 2))) (/ (pow a2 2) (* (pow a1 2) (* (pow th 2) (sqrt 2)))))) (* 1/2 (/ 1 (sqrt 2)))))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2))) #s(hole binary64 (/ (pow a1 2) (* (pow th 2) (sqrt 2)))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2))) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (* (pow th 2) (sqrt 2))) (/ (pow a2 2) (* (pow a1 2) (* (pow th 2) (sqrt 2))))))))
#s(approx a2 #s(hole binary64 a2))
#s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) #s(hole binary64 (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (pow a2 2))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (pow a2 2))))
#s(approx (* a2 a2) #s(hole binary64 (pow a2 2)))
#s(approx (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) #s(hole binary64 (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (pow a2 2))))
#s(approx (* (* a2 a2) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (sqrt 2))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (+ (* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))) (/ (pow a1 2) (sqrt 2))))))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) #s(hole binary64 (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (/ (pow a1 2) (* (pow th 2) (sqrt 2)))))))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) #s(hole binary64 (+ (* (pow a2 2) (* (pow th 2) (- (/ 1 (* (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))) (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (/ (pow a1 2) (* (pow th 2) (sqrt 2))))))))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) #s(hole binary64 (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (/ (pow a1 2) (* (pow th 2) (sqrt 2))))))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) #s(hole binary64 (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* (pow a2 2) (- (/ 1 (* (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ (pow a1 2) (* (pow th 2) (sqrt 2)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) #s(hole binary64 (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))))
#s(approx (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (* a2 a2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2))))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (* (pow a2 2) (sqrt 2)))) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) #s(hole binary64 (* (pow a2 2) (* (pow th 2) (- (/ 1 (* (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) #s(hole binary64 (* (pow a2 2) (+ (* (pow th 2) (- (/ 1 (* (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (/ (pow a1 2) (* (pow th 2) (sqrt 2))))) (pow a2 2))))))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) #s(hole binary64 (* (pow a2 2) (- (/ 1 (* (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) #s(hole binary64 (* (pow a2 2) (- (+ (* -1/2 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (+ (/ 1 (* (pow th 2) (sqrt 2))) (/ (pow a1 2) (* (pow a2 2) (* (pow th 2) (sqrt 2)))))) (* 1/2 (/ 1 (sqrt 2)))))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (* (pow th 2) (sqrt 2))) (/ (pow a1 2) (* (pow a2 2) (* (pow th 2) (sqrt 2))))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) #s(hole binary64 (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) #s(hole binary64 (+ (* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))
#s(approx (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) #s(hole binary64 (+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/48 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))))
#s(approx (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) #s(hole binary64 (+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/1440 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/48 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))))
#s(approx (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) #s(hole binary64 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) #s(hole binary64 (+ (* -1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) #s(hole binary64 (+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))))
#s(approx (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) #s(hole binary64 (+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/24 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))))
#s(approx (cos th) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a1 2) (sqrt 2))))))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (/ a1 (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (+ (* -1/2 (/ (* a1 (pow th 2)) (sqrt 2))) (/ a1 (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ a1 (sqrt 2))) (* 1/24 (/ (* a1 (pow th 2)) (sqrt 2))))) (/ a1 (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ a1 (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* a1 (pow th 2)) (sqrt 2))) (* 1/24 (/ a1 (sqrt 2))))))) (/ a1 (sqrt 2)))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) #s(hole binary64 (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (pow th 2))))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) #s(hole binary64 (/ (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) (pow th 2))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2))) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2)))))
#s(approx (* (* th th) (sqrt 2)) #s(hole binary64 (* (pow th 2) (sqrt 2))))
#s(approx (* th th) #s(hole binary64 (pow th 2)))
#s(approx (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) #s(hole binary64 (* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))
#s(approx (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) #s(hole binary64 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2)))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (+ (/ (pow a1 2) (* (pow th 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2))))))))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) #s(hole binary64 (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2)))))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) #s(hole binary64 (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (+ (/ (pow a1 2) (* (pow th 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2))))))))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) #s(hole binary64 (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)))))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) #s(hole binary64 (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (+ (/ (pow a1 2) (* (pow th 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))))
Calls

9 calls:

TimeVariablePointExpression
9.0ms
a1
@inf
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 (sqrt 2) 2 (cos th) th 1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) a1) (/ a1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) 1 (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (* a2 a2)) (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (* (* a2 a2) (sqrt 2)) (/ 1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) -1/2 (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2))) (* (* th th) (sqrt 2)) (* th th))
8.0ms
a1
@0
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 (sqrt 2) 2 (cos th) th 1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) a1) (/ a1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) 1 (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (* a2 a2)) (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (* (* a2 a2) (sqrt 2)) (/ 1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) -1/2 (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2))) (* (* th th) (sqrt 2)) (* th th))
6.0ms
a2
@-inf
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 (sqrt 2) 2 (cos th) th 1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) a1) (/ a1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) 1 (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (* a2 a2)) (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (* (* a2 a2) (sqrt 2)) (/ 1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) -1/2 (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2))) (* (* th th) (sqrt 2)) (* th th))
6.0ms
a1
@-inf
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 (sqrt 2) 2 (cos th) th 1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) a1) (/ a1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) 1 (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (* a2 a2)) (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (* (* a2 a2) (sqrt 2)) (/ 1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) -1/2 (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2))) (* (* th th) (sqrt 2)) (* th th))
6.0ms
a2
@inf
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 (sqrt 2) 2 (cos th) th 1/2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) a1) (/ a1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) 1 (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (* a2 a2)) (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (* (* a2 a2) (sqrt 2)) (/ 1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) -1/2 (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2))) (* (* th th) (sqrt 2)) (* th th))

rewrite178.0ms (4.1%)

Memory
-7.9MiB live, 220.6MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04895782
05505233
127035160
080945069
Stop Event
iter-limit
node-limit
iter-limit
Counts
194 → 540
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a2 a2 (*.f64 a1 a1))
a2
(*.f64 a1 a1)
a1
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 th)
th
#s(literal 1/2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1))
(*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1)
#s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
(/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))
(/.f64 a1 a2)
#s(literal 1 binary64)
(*.f64 a2 a2)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
(*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))
(+.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th)))
(*.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))
(fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a1 a1 (*.f64 a2 a2))
#s(literal -1/2 binary64)
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 th th)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) #s(hole binary64 (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) #s(hole binary64 (* (pow a2 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) #s(hole binary64 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (sqrt 2))))
#s(approx (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx a1 #s(hole binary64 a1))
#s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (/ (* a1 (cos th)) (sqrt 2))))
#s(approx (/ a1 (sqrt 2)) #s(hole binary64 (/ a1 (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) #s(hole binary64 (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 (+ 1 (/ (pow a1 2) (pow a2 2)))))
#s(approx (/ a1 a2) #s(hole binary64 (/ a1 a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (* a2 a2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (* a2 a2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) #s(hole binary64 (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))))
#s(approx (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) #s(hole binary64 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (+ (* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) #s(hole binary64 (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) #s(hole binary64 (+ (* (pow a1 2) (* (pow th 2) (- (/ 1 (* (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))) (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2))))))))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) #s(hole binary64 (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2))))))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) #s(hole binary64 (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (+ (* (pow a1 2) (- (/ 1 (* (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2))) #s(hole binary64 (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2))) #s(hole binary64 (+ (/ (pow a1 2) (* (pow th 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) #s(hole binary64 (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) #s(hole binary64 (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))))
#s(approx (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
#s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 (/ (pow a1 2) (pow a2 2))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (* a2 a2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (* (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (* a2 a2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) #s(hole binary64 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
#s(approx (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2))))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a1 2) (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (* (pow a1 2) (sqrt 2)))) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) #s(hole binary64 (* (pow a1 2) (* (pow th 2) (- (/ 1 (* (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) #s(hole binary64 (* (pow a1 2) (+ (* (pow th 2) (- (/ 1 (* (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2))))) (pow a1 2))))))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) #s(hole binary64 (* (pow a1 2) (- (/ 1 (* (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) #s(hole binary64 (* (pow a1 2) (- (+ (* -1/2 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (+ (/ 1 (* (pow th 2) (sqrt 2))) (/ (pow a2 2) (* (pow a1 2) (* (pow th 2) (sqrt 2)))))) (* 1/2 (/ 1 (sqrt 2)))))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2))) #s(hole binary64 (/ (pow a1 2) (* (pow th 2) (sqrt 2)))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2))) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (* (pow th 2) (sqrt 2))) (/ (pow a2 2) (* (pow a1 2) (* (pow th 2) (sqrt 2))))))))
#s(approx a2 #s(hole binary64 a2))
#s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) #s(hole binary64 (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (pow a2 2))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (pow a2 2))))
#s(approx (* a2 a2) #s(hole binary64 (pow a2 2)))
#s(approx (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) #s(hole binary64 (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (pow a2 2))))
#s(approx (* (* a2 a2) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (sqrt 2))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (+ (* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))) (/ (pow a1 2) (sqrt 2))))))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) #s(hole binary64 (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (/ (pow a1 2) (* (pow th 2) (sqrt 2)))))))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) #s(hole binary64 (+ (* (pow a2 2) (* (pow th 2) (- (/ 1 (* (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))) (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (/ (pow a1 2) (* (pow th 2) (sqrt 2))))))))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) #s(hole binary64 (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (/ (pow a1 2) (* (pow th 2) (sqrt 2))))))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) #s(hole binary64 (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* (pow a2 2) (- (/ 1 (* (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ (pow a1 2) (* (pow th 2) (sqrt 2)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) #s(hole binary64 (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) #s(hole binary64 (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))))
#s(approx (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (* a2 a2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2))))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (* (pow a2 2) (sqrt 2)))) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) #s(hole binary64 (* (pow a2 2) (* (pow th 2) (- (/ 1 (* (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) #s(hole binary64 (* (pow a2 2) (+ (* (pow th 2) (- (/ 1 (* (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (/ (pow a1 2) (* (pow th 2) (sqrt 2))))) (pow a2 2))))))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) #s(hole binary64 (* (pow a2 2) (- (/ 1 (* (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) #s(hole binary64 (* (pow a2 2) (- (+ (* -1/2 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (+ (/ 1 (* (pow th 2) (sqrt 2))) (/ (pow a1 2) (* (pow a2 2) (* (pow th 2) (sqrt 2)))))) (* 1/2 (/ 1 (sqrt 2)))))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (* (pow th 2) (sqrt 2))) (/ (pow a1 2) (* (pow a2 2) (* (pow th 2) (sqrt 2))))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) #s(hole binary64 (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) #s(hole binary64 (+ (* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))
#s(approx (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) #s(hole binary64 (+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/48 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))))
#s(approx (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) #s(hole binary64 (+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/1440 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/48 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))))
#s(approx (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) #s(hole binary64 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) #s(hole binary64 (+ (* -1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) #s(hole binary64 (+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))))
#s(approx (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) #s(hole binary64 (+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/24 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))))
#s(approx (cos th) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a1 2) (sqrt 2))))))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (/ a1 (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (+ (* -1/2 (/ (* a1 (pow th 2)) (sqrt 2))) (/ a1 (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ a1 (sqrt 2))) (* 1/24 (/ (* a1 (pow th 2)) (sqrt 2))))) (/ a1 (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ a1 (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* a1 (pow th 2)) (sqrt 2))) (* 1/24 (/ a1 (sqrt 2))))))) (/ a1 (sqrt 2)))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) #s(hole binary64 (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (pow th 2))))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) #s(hole binary64 (/ (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) (pow th 2))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2))) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2)))))
#s(approx (* (* th th) (sqrt 2)) #s(hole binary64 (* (pow th 2) (sqrt 2))))
#s(approx (* th th) #s(hole binary64 (pow th 2)))
#s(approx (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) #s(hole binary64 (* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))
#s(approx (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) #s(hole binary64 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2)))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(hole binary64 (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (+ (/ (pow a1 2) (* (pow th 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2))))))))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) #s(hole binary64 (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2)))))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) #s(hole binary64 (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (+ (/ (pow a1 2) (* (pow th 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2))))))))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) #s(hole binary64 (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)))))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) #s(hole binary64 (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (+ (/ (pow a1 2) (* (pow th 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))))
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)))
(fma.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))
(fma.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))
(fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)))
(fma.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)))
(-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 (neg.f64 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) (-.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 a2 a2)))) (fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))))
(fma.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a2 a2))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (fma.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 a2 a2) (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1))) (fma.f64 (*.f64 a2 a2) (*.f64 a2 a2) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (fma.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1) (*.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 a2 a2))) (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a1)) (*.f64 a2 a2))
(fma.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)) (*.f64 a2 a2))
(fma.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a2)) (*.f64 a1 a1))
(fma.f64 (neg.f64 (fabs.f64 a2)) (neg.f64 (fabs.f64 a2)) (*.f64 a1 a1))
(fma.f64 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a1)) (*.f64 a2 a2))
(fma.f64 (fabs.f64 (fabs.f64 a2)) (fabs.f64 (fabs.f64 a2)) (*.f64 a1 a1))
(fma.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)) (*.f64 a2 a2))
(fma.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)) (*.f64 a1 a1))
(fma.f64 (neg.f64 a1) (neg.f64 a1) (*.f64 a2 a2))
(fma.f64 (neg.f64 a2) (neg.f64 a2) (*.f64 a1 a1))
(fma.f64 (fabs.f64 a1) (fabs.f64 a1) (*.f64 a2 a2))
(fma.f64 (fabs.f64 a2) (fabs.f64 a2) (*.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 a1 a1 (*.f64 a2 a2))
(-.f64 (*.f64 a1 a1) (*.f64 (neg.f64 a2) a2))
(-.f64 (*.f64 a2 a2) (*.f64 (neg.f64 a1) a1))
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(+.f64 (*.f64 a2 a2) (*.f64 a1 a1))
a2
(*.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a1)))
(*.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)))
(*.f64 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a1)))
(*.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)))
(*.f64 (neg.f64 a1) (neg.f64 a1))
(*.f64 (fabs.f64 a1) (fabs.f64 a1))
(*.f64 a1 a1)
(pow.f64 (exp.f64 (log.f64 a1)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a1) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a1) #s(literal 2 binary64))
(pow.f64 (*.f64 a1 a1) #s(literal 1 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(fabs.f64 (*.f64 a1 a1))
(exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64))))
a1
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(literal 2 binary64)
(sin.f64 (+.f64 (neg.f64 th) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 th (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 th) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 th) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 th)))
(cos.f64 (neg.f64 th))
(cos.f64 th)
(+.f64 (*.f64 (sin.f64 th) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
th
#s(literal 1/2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1))
(*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1)
(*.f64 a1 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2)
(*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
(*.f64 (*.f64 a2 a2) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2) (*.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
(fma.f64 (*.f64 a2 a2) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) (*.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
(+.f64 (*.f64 (*.f64 a2 a2) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 a2) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 a1 a1)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 a1 (*.f64 a2 a2)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a1 (/.f64 a1 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 a1 (/.f64 a1 a2)) (*.f64 a2 a2) (*.f64 a2 (*.f64 a2 a2))) (*.f64 a2 (*.f64 a2 a2)))
(/.f64 (fma.f64 (*.f64 (/.f64 a1 a2) a1) (*.f64 a2 a2) (*.f64 a2 (*.f64 a2 a2))) (*.f64 a2 (*.f64 a2 a2)))
(/.f64 (fma.f64 (neg.f64 (*.f64 a1 a1)) (*.f64 a2 a2) (*.f64 (neg.f64 (*.f64 a2 a2)) (*.f64 a2 a2))) (*.f64 (neg.f64 (*.f64 a2 a2)) (*.f64 a2 a2)))
(/.f64 (fma.f64 (*.f64 a1 a1) (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) (*.f64 a2 a2))) (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)))
(/.f64 (fma.f64 (*.f64 a1 (/.f64 a1 a2)) #s(literal 2 binary64) (*.f64 a2 #s(literal 2 binary64))) (*.f64 a2 #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64) (*.f64 a2 #s(literal 2 binary64))) (*.f64 a2 #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (*.f64 a1 a1)) #s(literal 2 binary64) (*.f64 (neg.f64 (*.f64 a2 a2)) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 a2 a2)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 a1 a1) #s(literal 2 binary64) (*.f64 (*.f64 a2 a2) #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) a2 (*.f64 #s(literal 2 binary64) (*.f64 a1 (/.f64 a1 a2)))) (*.f64 #s(literal 2 binary64) a2))
(/.f64 (fma.f64 #s(literal 2 binary64) a2 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 a1 a2) a1))) (*.f64 #s(literal 2 binary64) a2))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 (*.f64 a2 a2)) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 a1 a1)))) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 a2 a2))))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a2 a2) (*.f64 #s(literal 2 binary64) (*.f64 a1 a1))) (*.f64 #s(literal 2 binary64) (*.f64 a2 a2)))
(/.f64 (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(/.f64 (neg.f64 (fma.f64 a2 a2 (*.f64 a1 a1))) (neg.f64 (*.f64 a2 a2)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 a2 a2))
(fma.f64 (neg.f64 (neg.f64 (/.f64 a1 a2))) (neg.f64 (neg.f64 (/.f64 a1 a2))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 (/.f64 a1 a2))) (neg.f64 (fabs.f64 (/.f64 a1 a2))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 (/.f64 a1 a2))) (fabs.f64 (fabs.f64 (/.f64 a1 a2))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 a1 a2) #s(literal 1 binary64)) (pow.f64 (/.f64 a1 a2) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 a1 a2) #s(literal 1 binary64))
(fma.f64 (neg.f64 (/.f64 a1 a2)) (neg.f64 (/.f64 a1 a2)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (/.f64 a1 a2)) (fabs.f64 (/.f64 a1 a2)) #s(literal 1 binary64))
(fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (neg.f64 a1) (neg.f64 a2))
(/.f64 a1 a2)
#s(literal 1 binary64)
(*.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a2)))
(*.f64 (neg.f64 (fabs.f64 a2)) (neg.f64 (fabs.f64 a2)))
(*.f64 (fabs.f64 (fabs.f64 a2)) (fabs.f64 (fabs.f64 a2)))
(*.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)))
(*.f64 (neg.f64 a2) (neg.f64 a2))
(*.f64 (fabs.f64 a2) (fabs.f64 a2))
(*.f64 a2 a2)
(pow.f64 (exp.f64 (log.f64 a2)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a2) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a2) #s(literal 2 binary64))
(pow.f64 (*.f64 a2 a2) #s(literal 1 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(fabs.f64 (*.f64 a2 a2))
(exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2)
(*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
(*.f64 (*.f64 a2 a2) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2) (*.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
(fma.f64 (*.f64 a2 a2) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) (*.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
(+.f64 (*.f64 (*.f64 a2 a2) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 a2) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 a1 a1)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 a1 (*.f64 a2 a2)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a1 (/.f64 a1 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 a1 (*.f64 a2 a2)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a1 (/.f64 a1 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 a1 (neg.f64 a1)) (*.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))
(exp.f64 (fma.f64 (log.f64 a2) #s(literal 2 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (log.f64 a2) #s(literal 2 binary64))))
(tanh.f64 (asinh.f64 #s(literal 1 binary64)))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(sin.f64 (atan.f64 #s(literal 1 binary64)))
(cos.f64 (atan.f64 #s(literal 1 binary64)))
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) th) th)))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) th) th))
(*.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) th) th)
(*.f64 (fma.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))
(*.f64 (*.f64 th th) (fma.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)))
(fma.f64 (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (*.f64 (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (*.f64 th th) (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)))
(fma.f64 (*.f64 th th) (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (*.f64 (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) th) th (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)))
(fma.f64 (*.f64 (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) th) th (*.f64 (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 th (*.f64 (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) th) (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)))
(fma.f64 th (*.f64 (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) th) (*.f64 (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))))
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(*.f64 (neg.f64 (neg.f64 th)) (neg.f64 (neg.f64 th)))
(*.f64 (fabs.f64 th) (fabs.f64 th))
(*.f64 (neg.f64 th) (neg.f64 th))
(*.f64 th th)
(pow.f64 (exp.f64 (log.f64 th)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 th) #s(literal 2 binary64))
(pow.f64 (neg.f64 th) #s(literal 2 binary64))
(pow.f64 (*.f64 th th) #s(literal 1 binary64))
(pow.f64 th #s(literal 2 binary64))
(fabs.f64 (*.f64 th th))
(exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
#s(approx (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))
#s(approx (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
#s(approx (+ (* a2 a2) (* a1 a1)) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (* a1 a1) (*.f64 a1 a1))
#s(approx a1 a1)
#s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) (*.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a1))
#s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ a1 (sqrt 2)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)))
#s(approx (/ a1 a2) (/.f64 a1 a2))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (fma.f64 (/.f64 (*.f64 (*.f64 a2 th) (*.f64 a2 th)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (fma.f64 (/.f64 (*.f64 (*.f64 a2 th) (*.f64 a2 th)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) (*.f64 (fma.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th)))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) (fma.f64 (fma.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th) (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 th th) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (fma.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (fma.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
#s(approx (+ (* a2 a2) (* a1 a1)) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) (*.f64 a1 a1)))) (*.f64 a1 a1)))
#s(approx (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)))
#s(approx (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) (*.f64 a1 a1))) (*.f64 a1 a1)))
#s(approx (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (+.f64 (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (*.f64 (+.f64 (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1)))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)) (*.f64 a1 a1))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (+.f64 (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (*.f64 (+.f64 (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1)))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (*.f64 (*.f64 a2 a2) (/.f64 (*.f64 th th) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1/2 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 a1 a1)))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 th th) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (*.f64 (*.f64 th th) (/.f64 (fma.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1)))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (*.f64 (*.f64 a1 a1) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (*.f64 (fma.f64 (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (-.f64 (+.f64 (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (+.f64 (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2))) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2))) (*.f64 (+.f64 (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1)))
#s(approx a2 a2)
#s(approx (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)))
#s(approx (* a2 a2) (*.f64 a2 a2))
#s(approx (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (* (* a2 a2) (sqrt 2)) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (fma.f64 (*.f64 (*.f64 a1 a1) (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (fma.f64 (*.f64 (*.f64 a1 a1) (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) (*.f64 (fma.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th)))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) (fma.f64 (fma.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 th th) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (fma.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (fma.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 a2 a2)))) (*.f64 a2 a2)))
#s(approx (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 a2 a2))) (*.f64 a2 a2)))
#s(approx (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 a2 a2) (fma.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 a2 a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (*.f64 (*.f64 a1 a1) (/.f64 (*.f64 th th) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a2 a2)))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 th th) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (*.f64 (*.f64 th th) (/.f64 (fma.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a2 a2)))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (*.f64 (*.f64 a2 a2) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (*.f64 (fma.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (-.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a2 a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 a2 a2)))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2))) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) th) th (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 th th)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))))
#s(approx (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 th th)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))) (*.f64 th th))))
#s(approx (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (fma.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 th th)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/48 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))) (*.f64 th th))) (*.f64 th th))))
#s(approx (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) (fma.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 th th)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))) (*.f64 th th) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (cos th) #s(literal 1 binary64))
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx th th)
#s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) (fma.f64 (*.f64 (*.f64 a1 a1) (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a1 a1) (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 a1 a1) (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) (fma.f64 (/.f64 (*.f64 (*.f64 th th) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 th th) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 th th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) a1) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 th th) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 th th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (fma.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) (fma.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (/.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th)))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (/.f64 (fma.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* th th) (sqrt 2)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* th th) (*.f64 th th))
#s(approx (* (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) 1/2) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
#s(approx (* (* (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (cos th) (cos.f64 th))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) th) th))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) (*.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
#s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) (*.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) th) th))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (fma.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))))

eval55.0ms (1.3%)

Memory
-1.1MiB live, 96.5MiB allocated; 13ms collecting garbage
Compiler

Compiled 9 513 to 2 923 computations (69.3% saved)

prune53.0ms (1.2%)

Memory
6.2MiB live, 99.1MiB allocated; 4ms collecting garbage
Pruning

51 alts after pruning (41 fresh and 10 done)

PrunedKeptTotal
New48915504
Fresh32629
Picked235
Done077
Total49451545
Accuracy
100.0%
Counts
545 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.4%
(/.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
63.4%
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
61.6%
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
63.4%
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))))
65.1%
(*.f64 (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
10.5%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
64.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
65.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
65.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
65.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
18.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
99.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
17.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
17.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
17.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
14.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (* (cos th) a1) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
64.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (+.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))))
65.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
63.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
17.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a1))
99.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
17.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
99.6%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 1/2 binary64)))
63.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
99.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
17.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
99.6%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
17.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))) #s(literal 1/2 binary64)))
63.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
65.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
17.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 th th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))) a1))
14.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (+.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))))) a1))
14.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1))
59.6%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (fma.f64 a1 (/.f64 a1 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
37.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
65.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
63.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))))))
2.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
52.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
65.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
65.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2)))
2.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 #s(approx (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a2 a2))))
46.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (fma.f64 (/.f64 (*.f64 (*.f64 a2 th) (*.f64 a2 th)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
63.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
18.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
13.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 #s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (fma.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 th th))))
34.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 #s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (*.f64 (*.f64 a2 a2) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
11.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 #s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (*.f64 (*.f64 a1 a1) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
36.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 th th) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
11.5%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a1 th) (*.f64 a1 th)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
Compiler

Compiled 2 523 to 1 612 computations (36.1% saved)

regimes176.0ms (4%)

Memory
25.6MiB live, 294.0MiB allocated; 52ms collecting garbage
Counts
71 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (* (cos th) a1) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(*.f64 (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 th th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 #s(approx (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a1 th) (*.f64 a1 th)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(/.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
(+.f64 (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 th th) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 #s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (*.f64 (*.f64 a1 a1) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 #s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (*.f64 (*.f64 a2 a2) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (fma.f64 (/.f64 (*.f64 (*.f64 a2 th) (*.f64 a2 th)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (fma.f64 a1 (/.f64 a1 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 #s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (fma.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 th th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (+.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (+.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) a1) a1))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (*.f64 a2 a2))))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2 (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) a1))) #s(literal 2 binary64))
Outputs
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) a1))) #s(literal 2 binary64))
Calls

8 calls:

29.0ms
(*.f64 a1 a1)
27.0ms
(cos.f64 th)
25.0ms
(*.f64 a2 a2)
21.0ms
th
19.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
99.7%1(*.f64 a2 a2)
99.7%1(*.f64 a1 a1)
99.7%1(cos.f64 th)
99.7%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.7%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.7%1a1
99.7%1a2
99.7%1th
Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes170.0ms (3.9%)

Memory
1.2MiB live, 192.2MiB allocated; 54ms collecting garbage
Counts
70 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (* (cos th) a1) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(*.f64 (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 th th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 #s(approx (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a1 th) (*.f64 a1 th)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(/.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
(+.f64 (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 th th) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 #s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (*.f64 (*.f64 a1 a1) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 #s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (*.f64 (*.f64 a2 a2) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (fma.f64 (/.f64 (*.f64 (*.f64 a2 th) (*.f64 a2 th)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (fma.f64 a1 (/.f64 a1 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 #s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (fma.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 th th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (+.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (+.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) a1) a1))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (*.f64 a2 a2))))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2 (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Outputs
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
Calls

8 calls:

44.0ms
(cos.f64 th)
21.0ms
th
20.0ms
(*.f64 a2 a2)
19.0ms
a1
17.0ms
a2
Results
AccuracySegmentsBranch
99.6%1(*.f64 a2 a2)
99.6%1(*.f64 a1 a1)
99.6%1(cos.f64 th)
99.6%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.6%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.6%1a1
99.6%1a2
99.6%1th
Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes126.0ms (2.9%)

Memory
-14.8MiB live, 170.4MiB allocated; 15ms collecting garbage
Counts
62 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (* (cos th) a1) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(*.f64 (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 th th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 #s(approx (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a1 th) (*.f64 a1 th)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(/.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
(+.f64 (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 th th) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 #s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (*.f64 (*.f64 a1 a1) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 #s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (*.f64 (*.f64 a2 a2) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (fma.f64 (/.f64 (*.f64 (*.f64 a2 th) (*.f64 a2 th)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (fma.f64 a1 (/.f64 a1 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 #s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (fma.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 th th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (+.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (+.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
Outputs
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
Calls

8 calls:

17.0ms
(cos.f64 th)
16.0ms
a2
15.0ms
a1
15.0ms
th
15.0ms
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Results
AccuracySegmentsBranch
99.6%1(*.f64 a2 a2)
99.6%1(*.f64 a1 a1)
99.6%1(cos.f64 th)
99.6%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.6%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.6%1a1
99.6%1a2
99.6%1th
Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes511.0ms (11.6%)

Memory
-65.3MiB live, 192.0MiB allocated; 868ms collecting garbage
Counts
61 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (* (cos th) a1) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(*.f64 (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 th th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 #s(approx (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a1 th) (*.f64 a1 th)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(/.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
(+.f64 (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 th th) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 #s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (*.f64 (*.f64 a1 a1) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 #s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (*.f64 (*.f64 a2 a2) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (fma.f64 (/.f64 (*.f64 (*.f64 a2 th) (*.f64 a2 th)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (fma.f64 a1 (/.f64 a1 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 #s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (fma.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 th th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (+.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (+.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))) #s(literal 1/2 binary64)))
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
Calls

8 calls:

19.0ms
(*.f64 a1 a1)
17.0ms
a1
15.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
15.0ms
th
15.0ms
a2
Results
AccuracySegmentsBranch
99.2%1(*.f64 a2 a2)
99.2%1(*.f64 a1 a1)
99.2%1(cos.f64 th)
99.2%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.2%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.2%1a1
99.2%1a2
99.2%1th
Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes194.0ms (4.4%)

Memory
0.4MiB live, 211.5MiB allocated; 37ms collecting garbage
Counts
55 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (* (cos th) a1) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(*.f64 (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 th th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 #s(approx (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a1 th) (*.f64 a1 th)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(/.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
(+.f64 (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 th th) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 #s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (*.f64 (*.f64 a1 a1) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 #s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (*.f64 (*.f64 a2 a2) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (fma.f64 (/.f64 (*.f64 (*.f64 a2 th) (*.f64 a2 th)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (fma.f64 a1 (/.f64 a1 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 #s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (fma.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 th th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (+.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (+.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
Outputs
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
Calls

8 calls:

27.0ms
th
18.0ms
a1
18.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
17.0ms
(*.f64 a2 a2)
14.0ms
a2
Results
AccuracySegmentsBranch
99.2%1(*.f64 a2 a2)
99.2%1(*.f64 a1 a1)
99.2%1(cos.f64 th)
99.2%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.2%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.2%1a1
99.2%1a2
99.2%1th
Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes125.0ms (2.9%)

Memory
-6.1MiB live, 139.9MiB allocated; 18ms collecting garbage
Counts
49 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (* (cos th) a1) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(*.f64 (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 th th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 #s(approx (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a1 th) (*.f64 a1 th)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(/.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
(+.f64 (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) #s(approx (* (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (* th th)) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 th th) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 #s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (*.f64 (*.f64 a1 a1) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 #s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (*.f64 (*.f64 a2 a2) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (fma.f64 (/.f64 (*.f64 (*.f64 a2 th) (*.f64 a2 th)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (fma.f64 a1 (/.f64 a1 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 #s(approx (+ (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) -1/2) (/ (+ (* a1 a1) (* a2 a2)) (* (* th th) (sqrt 2)))) (fma.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 th th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (+.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (+.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
Outputs
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
Calls

8 calls:

35.0ms
(*.f64 a2 a2)
14.0ms
(*.f64 a1 a1)
13.0ms
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
12.0ms
th
12.0ms
a1
Results
AccuracySegmentsBranch
66.8%2(*.f64 a2 a2)
77.3%2(cos.f64 th)
77.3%2(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
77.4%2(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
69.0%2a2
69.0%2th
65.1%1(*.f64 a1 a1)
65.1%1a1
Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes6.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (* (cos th) a1) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(*.f64 (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 th th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 #s(approx (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (/ (cos th) (sqrt 2)) a1) a1) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a1 th) (*.f64 a1 th)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (*.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
Calls

1 calls:

5.0ms
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Results
AccuracySegmentsBranch
77.4%2(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Compiler

Compiled 16 to 12 computations (25% saved)

regimes11.0ms (0.3%)

Memory
19.3MiB live, 19.3MiB allocated; 0ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (* (cos th) a1) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(*.f64 (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 th th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 #s(approx (+ (/ (* a1 a1) (* (* a2 a2) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 th th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
Calls

3 calls:

3.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
3.0ms
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
3.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
71.6%2(cos.f64 th)
71.6%2(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
71.6%2(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Compiler

Compiled 23 to 23 computations (0% saved)

regimes18.0ms (0.4%)

Memory
-11.6MiB live, 33.9MiB allocated; 3ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (* (cos th) a1) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(*.f64 (/.f64 #s(approx (cos th) #s(approx (+ (* (* th th) -1/2) 1) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
Calls

6 calls:

4.0ms
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
3.0ms
a2
3.0ms
th
3.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
2.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
65.1%1(*.f64 a2 a2)
65.1%1a2
65.1%1th
65.1%1(cos.f64 th)
65.1%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
65.1%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Compiler

Compiled 27 to 33 computations (-22.2% saved)

regimes15.0ms (0.3%)

Memory
-12.3MiB live, 33.8MiB allocated; 3ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (* (cos th) a1) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (exp (* (log 2) 1/2))) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
Calls

8 calls:

3.0ms
th
2.0ms
a1
2.0ms
a2
2.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
2.0ms
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Results
AccuracySegmentsBranch
65.1%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
65.1%1(cos.f64 th)
65.1%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
65.1%1th
65.1%1(*.f64 a1 a1)
65.1%1a1
65.1%1(*.f64 a2 a2)
65.1%1a2
Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes8.0ms (0.2%)

Memory
22.9MiB live, 22.9MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1))
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (/ (cos th) (sqrt 2)) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1))
Calls

8 calls:

1.0ms
a2
1.0ms
a1
1.0ms
th
1.0ms
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
1.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
14.8%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
14.8%1(cos.f64 th)
14.8%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
14.8%1th
14.8%1(*.f64 a1 a1)
14.8%1a1
14.8%1(*.f64 a2 a2)
14.8%1a2
Compiler

Compiled 30 to 40 computations (-33.3% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.9620151651008436e-256
-1.6605327350934104e-270
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.9620151651008436e-256
-1.6605327350934104e-270
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.6605327350934104e-270
-8.754447931532475e-290
Compiler

Compiled 19 to 18 computations (5.3% saved)

derivations502.0ms (11.4%)

Memory
22.1MiB live, 435.6MiB allocated; 146ms collecting garbage
Stop Event
fuel
Compiler

Compiled 177 to 81 computations (54.2% saved)

preprocess257.0ms (5.9%)

Memory
-30.7MiB live, 341.2MiB allocated; 88ms collecting garbage
Remove

(sort a1 a2)

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 3 389 to 2 497 computations (26.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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