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
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
1×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)

sample1.2s (26.9%)

Memory
88.4MiB live, 1 228.5MiB allocated; 982ms collecting garbage
Samples
896.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 697.0ms
ival-add!: 264.0ms (37.9% of total)
ival-cos: 216.0ms (31% of total)
ival-mult!: 150.0ms (21.5% of total)
ival-div!: 65.0ms (9.3% of total)
adjust: 1.0ms (0.1% of total)
Bogosity

preprocess140.0ms (3.2%)

Memory
-33.2MiB live, 57.1MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041133
1177133
2774133
33092133
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(+.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)

series20.0ms (0.4%)

Memory
24.6MiB live, 24.6MiB 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
4.0ms
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)
3.0ms
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)

rewrite211.0ms (4.8%)

Memory
-1.7MiB live, 247.5MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01581016
0172890
1999852
08444800
Stop Event
1×iter-limit
1×node-limit
1×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))

eval18.0ms (0.4%)

Memory
-32.4MiB live, 33.3MiB allocated; 7ms collecting garbage
Compiler

Compiled 1 826 to 564 computations (69.1% saved)

prune9.0ms (0.2%)

Memory
19.8MiB live, 19.8MiB allocated; 0ms 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%
(/.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))
▶99.7%
(/.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))
99.6%
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
60.1%
(+.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)))
67.0%
(+.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)))
▶99.5%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
▶31.0%
#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)))))
▶67.0%
#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))))
98.9%
#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))))
▶15.2%
#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))))
74.6%
#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 490 to 408 computations (16.7% saved)

series88.0ms (2%)

Memory
-30.7MiB live, 60.2MiB allocated; 6ms collecting garbage
Counts
31 → 119
Calls
Call 1
Inputs
(/.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))
(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))))
(*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2))
(cos.f64 th)
th
(*.f64 (neg.f64 a2) a2)
(neg.f64 a2)
a2
(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)))
(*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1))
(*.f64 (neg.f64 a1) a1)
(neg.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))))
(/.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) a1) a1)
(*.f64 (cos.f64 th) a1)
(*.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) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1)))) 2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (cos th) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg 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) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (* (pow a2 2) (* (cos th) (sqrt 2)))))
#s(approx (+ (* (* (cos th) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1))) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (* (cos th) (* (neg a1) a1)) #s(hole binary64 (* -1 (* (pow a1 2) (cos th)))))
#s(approx (* (neg a1) a1) #s(hole binary64 (* -1 (pow a1 2))))
#s(approx (neg a1) #s(hole binary64 (* -1 a1)))
#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) a1) a1) #s(hole binary64 (* (pow a1 2) (cos th))))
#s(approx (* (cos th) a1) #s(hole binary64 (* a1 (cos th))))
#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) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1)))) 2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (cos th) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg 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) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (+ (* (* (cos th) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg 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) (* (neg a2) a2)) #s(hole binary64 (* -1 (* (pow a2 2) (cos th)))))
#s(approx (* (neg a2) a2) #s(hole binary64 (* -1 (pow a2 2))))
#s(approx (neg a2) #s(hole binary64 (* -1 a2)))
#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) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg 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) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg 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) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1)))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (cos th) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg 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) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg 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) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg 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) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (* (cos th) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg 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) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg 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) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg 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) (* (neg a2) a2)) #s(hole binary64 (* -1 (pow a2 2))))
#s(approx (* (cos th) (* (neg a2) a2)) #s(hole binary64 (+ (* -1 (pow a2 2)) (* 1/2 (* (pow a2 2) (pow th 2))))))
#s(approx (* (cos th) (* (neg a2) a2)) #s(hole binary64 (+ (* -1 (pow a2 2)) (* (pow th 2) (+ (* -1/24 (* (pow a2 2) (pow th 2))) (* 1/2 (pow a2 2)))))))
#s(approx (* (cos th) (* (neg a2) a2)) #s(hole binary64 (+ (* -1 (pow a2 2)) (* (pow th 2) (+ (* 1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/24 (pow a2 2)) (* 1/720 (* (pow a2 2) (pow th 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 (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1))) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1))) #s(hole binary64 (+ (* -1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* (pow a1 2) (sqrt 2)))))
#s(approx (* (neg (sqrt 2)) (* (cos th) (* (neg 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 (* (neg (sqrt 2)) (* (cos th) (* (neg 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) (* (neg a1) a1)) #s(hole binary64 (* -1 (pow a1 2))))
#s(approx (* (cos th) (* (neg a1) a1)) #s(hole binary64 (+ (* -1 (pow a1 2)) (* 1/2 (* (pow a1 2) (pow th 2))))))
#s(approx (* (cos th) (* (neg a1) a1)) #s(hole binary64 (+ (* -1 (pow a1 2)) (* (pow th 2) (+ (* -1/24 (* (pow a1 2) (pow th 2))) (* 1/2 (pow a1 2)))))))
#s(approx (* (cos th) (* (neg a1) a1)) #s(hole binary64 (+ (* -1 (pow a1 2)) (* (pow th 2) (+ (* 1/2 (pow a1 2)) (* (pow th 2) (+ (* -1/24 (pow a1 2)) (* 1/720 (* (pow a1 2) (pow th 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 (+ (* (* (* -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) 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)) (+ (* 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) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg 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
41.0ms
a1
@inf
((/ (+ (* (* (cos th) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1)))) 2) (+ (* (* (cos th) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1)))) (* (cos th) (* (neg a2) a2)) (cos th) th (* (neg a2) a2) (neg a2) a2 (neg (sqrt 2)) (sqrt 2) 2 (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1))) (* (cos th) (* (neg a1) a1)) (* (neg a1) a1) (neg 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) a1) a1) (* (cos th) a1) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)))
6.0ms
a1
@0
((/ (+ (* (* (cos th) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1)))) 2) (+ (* (* (cos th) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1)))) (* (cos th) (* (neg a2) a2)) (cos th) th (* (neg a2) a2) (neg a2) a2 (neg (sqrt 2)) (sqrt 2) 2 (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1))) (* (cos th) (* (neg a1) a1)) (* (neg a1) a1) (neg 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) a1) a1) (* (cos th) a1) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)))
5.0ms
a2
@inf
((/ (+ (* (* (cos th) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1)))) 2) (+ (* (* (cos th) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1)))) (* (cos th) (* (neg a2) a2)) (cos th) th (* (neg a2) a2) (neg a2) a2 (neg (sqrt 2)) (sqrt 2) 2 (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1))) (* (cos th) (* (neg a1) a1)) (* (neg a1) a1) (neg 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) a1) a1) (* (cos th) a1) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)))
5.0ms
th
@inf
((/ (+ (* (* (cos th) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1)))) 2) (+ (* (* (cos th) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1)))) (* (cos th) (* (neg a2) a2)) (cos th) th (* (neg a2) a2) (neg a2) a2 (neg (sqrt 2)) (sqrt 2) 2 (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1))) (* (cos th) (* (neg a1) a1)) (* (neg a1) a1) (neg 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) a1) a1) (* (cos th) a1) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)))
5.0ms
th
@-inf
((/ (+ (* (* (cos th) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1)))) 2) (+ (* (* (cos th) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1)))) (* (cos th) (* (neg a2) a2)) (cos th) th (* (neg a2) a2) (neg a2) a2 (neg (sqrt 2)) (sqrt 2) 2 (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1))) (* (cos th) (* (neg a1) a1)) (* (neg a1) a1) (neg 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) a1) a1) (* (cos th) a1) (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)))

rewrite195.0ms (4.4%)

Memory
26.3MiB live, 252.8MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04964317
05513918
130843759
085183667
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
150 → 387
Calls
Call 1
Inputs
(/.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))
(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))))
(*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2))
(cos.f64 th)
th
(*.f64 (neg.f64 a2) a2)
(neg.f64 a2)
a2
(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)))
(*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1))
(*.f64 (neg.f64 a1) a1)
(neg.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))))
(/.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) a1) a1)
(*.f64 (cos.f64 th) a1)
(*.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) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1)))) 2) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (cos th) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg 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) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (* (pow a2 2) (* (cos th) (sqrt 2)))))
#s(approx (+ (* (* (cos th) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1))) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (* (cos th) (* (neg a1) a1)) #s(hole binary64 (* -1 (* (pow a1 2) (cos th)))))
#s(approx (* (neg a1) a1) #s(hole binary64 (* -1 (pow a1 2))))
#s(approx (neg a1) #s(hole binary64 (* -1 a1)))
#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) a1) a1) #s(hole binary64 (* (pow a1 2) (cos th))))
#s(approx (* (cos th) a1) #s(hole binary64 (* a1 (cos th))))
#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) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1)))) 2) #s(hole binary64 (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (/ (+ (* (* (cos th) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg 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) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (* (pow a1 2) (* (cos th) (sqrt 2)))))
#s(approx (+ (* (* (cos th) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg 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) (* (neg a2) a2)) #s(hole binary64 (* -1 (* (pow a2 2) (cos th)))))
#s(approx (* (neg a2) a2) #s(hole binary64 (* -1 (pow a2 2))))
#s(approx (neg a2) #s(hole binary64 (* -1 a2)))
#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) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg 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) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg 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) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1)))) 2) #s(hole binary64 (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (cos th) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg 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) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg 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) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg 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) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (* (cos th) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg 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) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg 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) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg 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) (* (neg a2) a2)) #s(hole binary64 (* -1 (pow a2 2))))
#s(approx (* (cos th) (* (neg a2) a2)) #s(hole binary64 (+ (* -1 (pow a2 2)) (* 1/2 (* (pow a2 2) (pow th 2))))))
#s(approx (* (cos th) (* (neg a2) a2)) #s(hole binary64 (+ (* -1 (pow a2 2)) (* (pow th 2) (+ (* -1/24 (* (pow a2 2) (pow th 2))) (* 1/2 (pow a2 2)))))))
#s(approx (* (cos th) (* (neg a2) a2)) #s(hole binary64 (+ (* -1 (pow a2 2)) (* (pow th 2) (+ (* 1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/24 (pow a2 2)) (* 1/720 (* (pow a2 2) (pow th 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 (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1))) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1))) #s(hole binary64 (+ (* -1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* (pow a1 2) (sqrt 2)))))
#s(approx (* (neg (sqrt 2)) (* (cos th) (* (neg 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 (* (neg (sqrt 2)) (* (cos th) (* (neg 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) (* (neg a1) a1)) #s(hole binary64 (* -1 (pow a1 2))))
#s(approx (* (cos th) (* (neg a1) a1)) #s(hole binary64 (+ (* -1 (pow a1 2)) (* 1/2 (* (pow a1 2) (pow th 2))))))
#s(approx (* (cos th) (* (neg a1) a1)) #s(hole binary64 (+ (* -1 (pow a1 2)) (* (pow th 2) (+ (* -1/24 (* (pow a1 2) (pow th 2))) (* 1/2 (pow a1 2)))))))
#s(approx (* (cos th) (* (neg a1) a1)) #s(hole binary64 (+ (* -1 (pow a1 2)) (* (pow th 2) (+ (* 1/2 (pow a1 2)) (* (pow th 2) (+ (* -1/24 (pow a1 2)) (* 1/720 (* (pow a1 2) (pow th 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 (+ (* (* (* -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) 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)) (+ (* 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) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg 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 (*.f64 (cos.f64 th) (*.f64 (neg.f64 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)))))) #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) (sqrt.f64 #s(literal 2 binary64))) a2) a2) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 a2 a2) (cos.f64 th))) (sqrt.f64 #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 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 a2 a2) (cos.f64 th))) #s(literal 2 binary64))))))
(/.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)))))
(/.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 a2 a2) (cos.f64 th))))) #s(literal -2 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (neg.f64 (cos.f64 th))) (*.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))) (cos.f64 th)) (*.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 (cos.f64 th))) (*.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))) (cos.f64 th)) (*.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) a1) (*.f64 (*.f64 a1 a1) a1))) (neg.f64 (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)))) (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) 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) (*.f64 a1 a1)) (*.f64 a1 a1) (*.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 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) (*.f64 a1 a1)) (*.f64 a1 a1) (*.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 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))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (-.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 (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) (*.f64 a2 a2)) (*.f64 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) (*.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 (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) (*.f64 a2 a2)) (*.f64 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) (*.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 (fma.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (*.f64 (neg.f64 a1) a1)))) #s(literal 4 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 (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 a2 a2) (cos.f64 th)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) a1))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (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 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 (-.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) (sqrt.f64 #s(literal 2 binary64))) a2) a2) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 a2 a2) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 a2 a2) (cos.f64 th))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 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))))) #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 a2 a2) (cos.f64 th)))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 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)))) #s(literal 2 binary64))
(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 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(fma.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))) a2) a2))
(fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 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) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2) (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
(+.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (*.f64 (neg.f64 a1) a1)) #s(literal 2 binary64)))
(+.f64 (*.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))) a2) a2))
(+.f64 (*.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)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (*.f64 (neg.f64 a1) a1)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (*.f64 (neg.f64 a1) a1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (*.f64 (neg.f64 a1) a1)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (*.f64 (neg.f64 a1) a1)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (*.f64 (neg.f64 a1) a1)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (*.f64 (neg.f64 a1) a1)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (*.f64 (neg.f64 a1) a1))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (*.f64 (neg.f64 a1) a1)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (*.f64 (neg.f64 a1) a1)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (*.f64 (neg.f64 a1) a1))))))
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (*.f64 (neg.f64 a1) a1) (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)) (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)))))
(fma.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (*.f64 (neg.f64 a1) a1)))
(fma.f64 (cos.f64 th) (*.f64 (*.f64 (neg.f64 a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (*.f64 (neg.f64 a1) a1)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)) (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (*.f64 (neg.f64 a1) a1)))
(-.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 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 (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1))))
(+.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (*.f64 (neg.f64 a1) a1)) (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (*.f64 (neg.f64 a1) a1)))
(*.f64 (*.f64 (cos.f64 th) (neg.f64 a2)) a2)
(*.f64 (*.f64 (neg.f64 a2) a2) (cos.f64 th))
(*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 a2 a2) (cos.f64 th)))
(*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2))
(neg.f64 (*.f64 (*.f64 a2 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
(*.f64 #s(literal -1 binary64) (*.f64 a2 a2))
(*.f64 (*.f64 a2 a2) #s(literal -1 binary64))
(*.f64 (neg.f64 a2) a2)
(*.f64 a2 (neg.f64 a2))
(neg.f64 (*.f64 a2 a2))
(*.f64 #s(literal -1 binary64) a2)
(*.f64 a2 #s(literal -1 binary64))
(neg.f64 a2)
a2
(neg.f64 (sqrt.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 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (*.f64 (neg.f64 a1) a1))
(*.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 a1) a1)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1))))
(*.f64 (*.f64 (cos.f64 th) (neg.f64 a1)) a1)
(*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal -1 binary64))
(*.f64 (*.f64 (neg.f64 a1) a1) (cos.f64 th))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 th) a1) a1))
(*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1))
(neg.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1))
(*.f64 #s(literal -1 binary64) (*.f64 a1 a1))
(*.f64 (*.f64 a1 a1) #s(literal -1 binary64))
(*.f64 (neg.f64 a1) a1)
(*.f64 a1 (neg.f64 a1))
(neg.f64 (*.f64 a1 a1))
(*.f64 #s(literal -1 binary64) a1)
(*.f64 a1 #s(literal -1 binary64))
(neg.f64 a1)
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 (*.f64 (neg.f64 a1) a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 a2) a2))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (neg.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)) (*.f64 (neg.f64 a2) a2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (neg.f64 a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 a1) a1))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (neg.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)) (*.f64 (neg.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) (*.f64 a2 a2)) (*.f64 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) (*.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) 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) (*.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 (fabs.f64 a2)) (neg.f64 (fabs.f64 a2)) (*.f64 a1 a1))
(fma.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a2)) (*.f64 a1 a1))
(fma.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)) (*.f64 a2 a2))
(fma.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.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 a2)) (exp.f64 (log.f64 a2)) (*.f64 a1 a1))
(fma.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.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 (neg.f64 a1) (neg.f64 a1) (*.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 (neg.f64 a2) (neg.f64 a2) (*.f64 a1 a1))
(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 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)))
(*.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.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 (fabs.f64 a1) (fabs.f64 a1))
(*.f64 (neg.f64 a1) (neg.f64 a1))
(*.f64 a1 a1)
(pow.f64 (exp.f64 (log.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 (neg.f64 a1) #s(literal 2 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))))
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(*.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))))
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(fma.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)) (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 #s(literal -1/2 binary64) (*.f64 a2 a2)) (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 #s(literal -1/2 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.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))))
#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 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.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))
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(*.f64 (*.f64 (cos.f64 th) a1) a1)
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 a1 a1))
(*.f64 a1 (*.f64 (cos.f64 th) a1))
(*.f64 (cos.f64 th) a1)
(*.f64 a1 (cos.f64 th))
(*.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))))
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(/.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))))
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(/.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 (-.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) (sqrt.f64 #s(literal 2 binary64))) a2) a2) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 a2 a2) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (*.f64 (*.f64 a2 a2) (cos.f64 th))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 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))))) #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 a2 a2) (cos.f64 th)))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 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)))) #s(literal 2 binary64))
(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 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(fma.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))) a2) a2))
(fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 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) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2) (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
(+.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (*.f64 (neg.f64 a1) a1)) #s(literal 2 binary64)))
(+.f64 (*.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))) a2) a2))
(+.f64 (*.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)))))
(/.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)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#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) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))
#s(approx (+ (* (* (cos th) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1))) (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (cos th) (* (neg a1) a1)) (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)))
#s(approx (* (neg a1) a1) (*.f64 (neg.f64 a1) a1))
#s(approx (neg a1) (neg.f64 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) (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 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 #s(literal -1/2 binary64) (*.f64 a2 a2)) (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) a1) a1) (*.f64 (*.f64 (cos.f64 th) a1) a1))
#s(approx (* (cos th) a1) (*.f64 (cos.f64 th) 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 (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 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) (*.f64 a1 a1)))) (*.f64 a1 a1)))
#s(approx (+ (* (* (cos th) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1)))) (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* (cos th) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1)))) (*.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 (+ (* (/ (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 #s(literal -1/2 binary64) (*.f64 a2 a2)) (*.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) (* (neg a2) a2)) (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)))
#s(approx (* (neg a2) a2) (*.f64 (neg.f64 a2) a2))
#s(approx (neg a2) (neg.f64 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) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg 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) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (+ (* (* (cos th) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg 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) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg 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) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg 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) (* (neg a2) a2)) (*.f64 (neg.f64 a2) a2))
#s(approx (* (cos th) (* (neg a2) a2)) (fma.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 th th) (*.f64 (neg.f64 a2) a2)))
#s(approx (* (cos th) (* (neg a2) a2)) (fma.f64 (fma.f64 (*.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 (neg.f64 a2) a2)))
#s(approx (* (cos th) (* (neg 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 (neg.f64 a2) 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 (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (neg (sqrt 2)) (* (cos th) (* (neg 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 (* (neg (sqrt 2)) (* (cos th) (* (neg 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 (* (neg (sqrt 2)) (* (cos th) (* (neg 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) (* (neg a1) a1)) (*.f64 (neg.f64 a1) a1))
#s(approx (* (cos th) (* (neg a1) a1)) (fma.f64 (*.f64 (*.f64 a1 a1) #s(literal 1/2 binary64)) (*.f64 th th) (*.f64 (neg.f64 a1) a1)))
#s(approx (* (cos th) (* (neg a1) a1)) (fma.f64 (fma.f64 (*.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 (neg.f64 a1) a1)))
#s(approx (* (cos th) (* (neg 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 (neg.f64 a1) 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) 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 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))))

eval57.0ms (1.3%)

Memory
-18.2MiB live, 82.7MiB allocated; 13ms collecting garbage
Compiler

Compiled 7 008 to 1 775 computations (74.7% saved)

prune56.0ms (1.3%)

Memory
10.4MiB live, 56.3MiB allocated; 3ms collecting garbage
Pruning

30 alts after pruning (28 fresh and 2 done)

PrunedKeptTotal
New44227469
Fresh617
Picked325
Done000
Total45130481
Accuracy
100.0%
Counts
481 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(/.f64 (fma.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))
98.9%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)))
15.2%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)))
62.2%
(*.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)))
67.0%
(*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
30.3%
#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)))))
12.2%
#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)))))
31.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 #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)))) th (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
60.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 #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)))) th (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
66.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 (neg.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)))))
✓67.0%
#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))))
67.0%
#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))))
14.0%
#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))))
98.9%
#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))))
✓15.2%
#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))))
15.2%
#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))))
17.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (* (cos th) a1) (fma.f64 (*.f64 (*.f64 th th) a1) #s(literal -1/2 binary64) a1)) a1) (sqrt.f64 #s(literal 2 binary64))))
12.9%
#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))))
▶66.4%
#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))))
▶11.5%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 th th) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
98.9%
#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))
15.2%
#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))) a1) a1))
15.2%
#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)))
▶99.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
67.0%
#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)))
▶15.2%
#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)))))
▶28.1%
#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 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))))
45.2%
#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))))))
61.5%
#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))))
16.5%
#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 1 541 to 1 249 computations (18.9% saved)

series63.0ms (1.4%)

Memory
3.2MiB live, 96.2MiB allocated; 46ms collecting garbage
Counts
35 → 80
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64))
(*.f64 a2 a2)
a2
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 th)
th
#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))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 th th) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 th th) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 th th) (*.f64 a1 a1)))
(fma.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 th th) (*.f64 a1 a1))
(*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64))
(*.f64 a1 a1)
a1
#s(literal -1/2 binary64)
(*.f64 th th)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (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)) (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)))
(*.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))
(+.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 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1 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 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) a1)
(/.f64 a1 (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 (/ (+ (* 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) a1) a1) (sqrt 2)) #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 (+ (* (* (* a1 a1) -1/2) (* th th)) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))))
#s(approx (* (* a1 a1) -1/2) #s(hole binary64 (* -1/2 (pow a1 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx a1 #s(hole binary64 a1))
#s(approx (* (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) #s(hole binary64 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
#s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) #s(hole binary64 (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (pow a1 2))))
#s(approx (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) #s(hole binary64 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
#s(approx (* (* a1 a1) (sqrt 2)) #s(hole binary64 (* (pow a1 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) a1) #s(hole binary64 (* a1 (cos th))))
#s(approx (/ a1 (sqrt 2)) #s(hole binary64 (/ a1 (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)) #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 (* (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (* (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) #s(hole binary64 (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))))
#s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* a2 a2) 1/2) #s(hole binary64 (* 1/2 (pow a2 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 (/ (+ (* 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 (* (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) #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))) (/ 1 (sqrt 2))) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (/ 1 (* (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 (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) #s(hole binary64 (* 1/2 (* (pow a2 2) (sqrt 2)))))
#s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) #s(hole binary64 (+ (* -1/4 (* (pow a2 2) (* (pow th 2) (sqrt 2)))) (* 1/2 (* (pow a2 2) (sqrt 2))))))
#s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) #s(hole binary64 (+ (* 1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/4 (* (pow a2 2) (sqrt 2))) (* 1/48 (* (pow a2 2) (* (pow th 2) (sqrt 2)))))))))
#s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) #s(hole binary64 (+ (* 1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/4 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/1440 (* (pow a2 2) (* (pow th 2) (sqrt 2)))) (* 1/48 (* (pow a2 2) (sqrt 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) 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) 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 (+ (* (* (* a1 a1) -1/2) (* th th)) (* a1 a1)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* (* (* a1 a1) -1/2) (* th th)) (* a1 a1)) #s(hole binary64 (+ (* -1/2 (* (pow a1 2) (pow th 2))) (pow a1 2))))
#s(approx (* th th) #s(hole binary64 (pow th 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) 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 (* (sqrt 2) (cos th)) #s(hole binary64 (* (cos th) (sqrt 2))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (+ (* (* (* a1 a1) -1/2) (* th th)) (* a1 a1)) #s(hole binary64 (* -1/2 (* (pow a1 2) (pow th 2)))))
#s(approx (+ (* (* (* a1 a1) -1/2) (* th th)) (* a1 a1)) #s(hole binary64 (* (pow th 2) (+ (* -1/2 (pow a1 2)) (/ (pow a1 2) (pow th 2))))))
Calls

9 calls:

TimeVariablePointExpression
24.0ms
th
@-inf
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) (* (* a2 a2) 1/2) (* a2 a2) a2 1/2 (* (sqrt 2) (cos th)) (sqrt 2) 2 (cos th) th (+ (* (/ (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)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* (cos th) a1) a1) (sqrt 2)) (* (* (cos th) a1) a1) (+ (* (* (* a1 a1) -1/2) (* th th)) (* a1 a1)) (* (* a1 a1) -1/2) (* a1 a1) a1 -1/2 (* th th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (* (* a1 a1) (sqrt 2)) (/ 1 (sqrt 2)) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a1) (/ a1 (sqrt 2))) (* (cos th) a1) (/ a1 (sqrt 2)))
10.0ms
a1
@0
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) (* (* a2 a2) 1/2) (* a2 a2) a2 1/2 (* (sqrt 2) (cos th)) (sqrt 2) 2 (cos th) th (+ (* (/ (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)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* (cos th) a1) a1) (sqrt 2)) (* (* (cos th) a1) a1) (+ (* (* (* a1 a1) -1/2) (* th th)) (* a1 a1)) (* (* a1 a1) -1/2) (* a1 a1) a1 -1/2 (* th th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (* (* a1 a1) (sqrt 2)) (/ 1 (sqrt 2)) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a1) (/ a1 (sqrt 2))) (* (cos th) a1) (/ a1 (sqrt 2)))
5.0ms
a1
@inf
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) (* (* a2 a2) 1/2) (* a2 a2) a2 1/2 (* (sqrt 2) (cos th)) (sqrt 2) 2 (cos th) th (+ (* (/ (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)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* (cos th) a1) a1) (sqrt 2)) (* (* (cos th) a1) a1) (+ (* (* (* a1 a1) -1/2) (* th th)) (* a1 a1)) (* (* a1 a1) -1/2) (* a1 a1) a1 -1/2 (* th th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (* (* a1 a1) (sqrt 2)) (/ 1 (sqrt 2)) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a1) (/ a1 (sqrt 2))) (* (cos th) a1) (/ a1 (sqrt 2)))
5.0ms
a1
@-inf
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) (* (* a2 a2) 1/2) (* a2 a2) a2 1/2 (* (sqrt 2) (cos th)) (sqrt 2) 2 (cos th) th (+ (* (/ (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)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* (cos th) a1) a1) (sqrt 2)) (* (* (cos th) a1) a1) (+ (* (* (* a1 a1) -1/2) (* th th)) (* a1 a1)) (* (* a1 a1) -1/2) (* a1 a1) a1 -1/2 (* th th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (* (* a1 a1) (sqrt 2)) (/ 1 (sqrt 2)) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a1) (/ a1 (sqrt 2))) (* (cos th) a1) (/ a1 (sqrt 2)))
3.0ms
a2
@inf
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) (* (* a2 a2) 1/2) (* a2 a2) a2 1/2 (* (sqrt 2) (cos th)) (sqrt 2) 2 (cos th) th (+ (* (/ (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)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* (cos th) a1) a1) (sqrt 2)) (* (* (cos th) a1) a1) (+ (* (* (* a1 a1) -1/2) (* th th)) (* a1 a1)) (* (* a1 a1) -1/2) (* a1 a1) a1 -1/2 (* th th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (* (* a1 a1) (sqrt 2)) (/ 1 (sqrt 2)) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a1) (/ a1 (sqrt 2))) (* (cos th) a1) (/ a1 (sqrt 2)))

rewrite245.0ms (5.5%)

Memory
15.6MiB live, 248.2MiB allocated; 48ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03032429
03502257
117242161
083042036
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
115 → 288
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64))
(*.f64 a2 a2)
a2
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 th)
th
#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))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 th th) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 th th) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 th th) (*.f64 a1 a1)))
(fma.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 th th) (*.f64 a1 a1))
(*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64))
(*.f64 a1 a1)
a1
#s(literal -1/2 binary64)
(*.f64 th th)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (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)) (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)))
(*.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))
(+.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 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 1 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 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.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))) #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 (/ (* (* (cos th) a1) a1) (sqrt 2)) #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 (+ (* (* (* a1 a1) -1/2) (* th th)) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))))
#s(approx (* (* a1 a1) -1/2) #s(hole binary64 (* -1/2 (pow a1 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx a1 #s(hole binary64 a1))
#s(approx (* (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) #s(hole binary64 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
#s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) #s(hole binary64 (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (pow a1 2))))
#s(approx (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) #s(hole binary64 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
#s(approx (* (* a1 a1) (sqrt 2)) #s(hole binary64 (* (pow a1 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) a1) #s(hole binary64 (* a1 (cos th))))
#s(approx (/ a1 (sqrt 2)) #s(hole binary64 (/ a1 (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)) #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 (* (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (* (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) #s(hole binary64 (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))))
#s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* a2 a2) 1/2) #s(hole binary64 (* 1/2 (pow a2 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 (/ (+ (* 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 (* (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) #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))) (/ 1 (sqrt 2))) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (/ 1 (* (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 (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) #s(hole binary64 (* 1/2 (* (pow a2 2) (sqrt 2)))))
#s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) #s(hole binary64 (+ (* -1/4 (* (pow a2 2) (* (pow th 2) (sqrt 2)))) (* 1/2 (* (pow a2 2) (sqrt 2))))))
#s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) #s(hole binary64 (+ (* 1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/4 (* (pow a2 2) (sqrt 2))) (* 1/48 (* (pow a2 2) (* (pow th 2) (sqrt 2)))))))))
#s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) #s(hole binary64 (+ (* 1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/4 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/1440 (* (pow a2 2) (* (pow th 2) (sqrt 2)))) (* 1/48 (* (pow a2 2) (sqrt 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) 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) 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 (+ (* (* (* a1 a1) -1/2) (* th th)) (* a1 a1)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* (* (* a1 a1) -1/2) (* th th)) (* a1 a1)) #s(hole binary64 (+ (* -1/2 (* (pow a1 2) (pow th 2))) (pow a1 2))))
#s(approx (* th th) #s(hole binary64 (pow th 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) 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 (* (sqrt 2) (cos th)) #s(hole binary64 (* (cos th) (sqrt 2))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (+ (* (* (* a1 a1) -1/2) (* th th)) (* a1 a1)) #s(hole binary64 (* -1/2 (* (pow a1 2) (pow th 2)))))
#s(approx (+ (* (* (* a1 a1) -1/2) (* th th)) (* a1 a1)) #s(hole binary64 (* (pow th 2) (+ (* -1/2 (pow a1 2)) (/ (pow a1 2) (pow th 2))))))
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (*.f64 a2 a2) (*.f64 #s(literal 1/2 binary64) (*.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 a2 a2) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2))
(*.f64 a2 (*.f64 a2 #s(literal 1/2 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))
(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)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 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)
(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(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 (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))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 #s(approx (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th (*.f64 a1 a1))))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 #s(approx (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th (*.f64 a1 a1)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th (*.f64 a1 a1)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 a1) a1) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th) (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th) (fma.f64 (*.f64 (neg.f64 a1) a1) (*.f64 (neg.f64 a1) a1) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th) (*.f64 (neg.f64 a1) a1)))))
(/.f64 (fma.f64 (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 a1 a1) a1) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th) #s(literal 3 binary64))) (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th) (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th)) (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th) (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th) (*.f64 a1 a1))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 a1 th) (*.f64 a1 th)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 a1 a1) a1)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th) (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th) (*.f64 a1 a1))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th) (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th) (*.f64 a1 a1)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 a1 th) (*.f64 a1 th)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 a1 a1) a1))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th) (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th) (*.f64 a1 a1)))))
(fma.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a1)) (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th))
(fma.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)) (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th))
(fma.f64 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a1)) (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th))
(fma.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)) (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th))
(fma.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th (*.f64 a1 a1))
(fma.f64 (neg.f64 a1) (neg.f64 a1) (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th))
(fma.f64 (fabs.f64 a1) (fabs.f64 a1) (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th))
(fma.f64 (*.f64 (*.f64 a1 th) (*.f64 a1 th)) #s(literal -1/2 binary64) (*.f64 a1 a1))
(fma.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 th th) (*.f64 a1 a1))
(fma.f64 (*.f64 th th) (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 a1 a1))
(fma.f64 (*.f64 a1 a1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (*.f64 a1 a1))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a1 th) (*.f64 a1 th)) (*.f64 a1 a1))
(fma.f64 a1 a1 (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th) (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th) (*.f64 a1 a1))) (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th) (*.f64 a1 a1))))
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th) (*.f64 (neg.f64 a1) a1))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th) (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th) (*.f64 a1 a1))))) (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 a1 a1) a1)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th) (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th) (*.f64 a1 a1))))))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th) (*.f64 a1 a1))
(+.f64 (*.f64 a1 a1) (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th))
(*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1))
(*.f64 a1 (*.f64 #s(literal -1/2 binary64) 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))))
a1
#s(literal -1/2 binary64)
(*.f64 (neg.f64 (fabs.f64 th)) (neg.f64 (fabs.f64 th)))
(*.f64 (fabs.f64 (fabs.f64 th)) (fabs.f64 (fabs.f64 th)))
(*.f64 (exp.f64 (log.f64 th)) (exp.f64 (log.f64 th)))
(*.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))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1) a1)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
(*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
(*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(*.f64 (*.f64 a1 a1) (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)) (*.f64 (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a1 a1) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a1 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a1 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 a1 a1) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 a1 a1) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (*.f64 (*.f64 a1 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a1 a1) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1) (*.f64 (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
(fma.f64 (*.f64 a1 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
(+.f64 (*.f64 (*.f64 a1 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a1 a1) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a2 a2) (*.f64 a1 a1))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))) (neg.f64 (*.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) (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 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (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 a2 a2) (*.f64 a1 a1)) (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 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 a1 a1) (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 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 a2 a2)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 a1 a1) (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 a2 a2) (*.f64 a1 a1)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.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))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 a1 a1) (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 (*.f64 (*.f64 a1 a1) (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 a2 a2) (*.f64 a1 a1)))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a2 a2) (*.f64 a1 a1))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 (neg.f64 a2) (*.f64 a1 a1)) (/.f64 (neg.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (neg.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (neg.f64 a2) (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (fabs.f64 a2) (*.f64 a1 a1)) (/.f64 (fabs.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (fabs.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fabs.f64 a2) (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (neg.f64 a2) a1) (/.f64 (neg.f64 a2) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (fabs.f64 a2) a1) (/.f64 (fabs.f64 a2) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 a2 a1) (/.f64 a2 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 a2 (*.f64 a1 a1)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a2 (/.f64 a2 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a2 a2) (*.f64 a1 a1))) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a2 a2) (*.f64 a1 a1))) #s(literal 2 binary64))))))
(+.f64 (/.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))))
(+.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 (/.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 (/.f64 (neg.f64 a2) (*.f64 a1 a1)) (/.f64 (neg.f64 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (neg.f64 a2) (*.f64 a1 a1)))
(*.f64 (/.f64 (fabs.f64 a2) (*.f64 a1 a1)) (/.f64 (fabs.f64 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fabs.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fabs.f64 a2) (*.f64 a1 a1)))
(*.f64 (/.f64 (neg.f64 a2) a1) (/.f64 (neg.f64 a2) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (fabs.f64 a2) a1) (/.f64 (fabs.f64 a2) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 a2 a1) (/.f64 a2 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (*.f64 a1 a1)))
(*.f64 (/.f64 a2 (*.f64 a1 a1)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a2 (/.f64 a2 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 a2 a2))) (neg.f64 (neg.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))
(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) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 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 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
#s(literal 1 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (cos.f64 th))))
(*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (cos.f64 th)))
(*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 a1 (cos.f64 th))
(*.f64 (cos.f64 th) a1)
(/.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 (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))) (*.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)) (/.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 (* (* (cos th) a1) (/ a1 (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (cos.f64 th))))
#s(approx (* (* (cos th) a1) a1) (*.f64 (*.f64 a1 (cos.f64 th)) a1))
#s(approx (+ (* (* (* a1 a1) -1/2) (* th th)) (* a1 a1)) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (* (* a1 a1) -1/2) (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)))
#s(approx (* a1 a1) (*.f64 a1 a1))
#s(approx a1 a1)
#s(approx (* (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* a1 a1) (sqrt 2)) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (cos th) a1) (/ a1 (sqrt 2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (cos.f64 th))))
#s(approx (* (cos th) a1) (*.f64 a1 (cos.f64 th)))
#s(approx (/ a1 (sqrt 2)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (cos.f64 th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.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)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) 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) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
#s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64))))
#s(approx (* (* a2 a2) 1/2) (*.f64 (*.f64 a2 a2) #s(literal 1/2 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 (fma.f64 (/.f64 (*.f64 a1 (cos.f64 th)) a2) (/.f64 a1 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 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 (* (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) (*.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) (sqrt 2))) (/ 1 (sqrt 2))) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (*.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 (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 #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)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 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 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 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) 1/2) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) (fma.f64 (*.f64 (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) #s(literal 1/48 binary64))) (*.f64 th th) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) #s(literal -1/1440 binary64))) (*.f64 th th))) (*.f64 th th) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (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) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 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) a1) (/ a1 (sqrt 2))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (cos th) a1) (/ a1 (sqrt 2))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (cos th) a1) (/ a1 (sqrt 2))) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a1 a1)) (*.f64 th th) (*.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 (/.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))) (*.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) a1) a1) (*.f64 a1 a1))
#s(approx (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) 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 (+ (* (* (* a1 a1) -1/2) (* th th)) (* a1 a1)) (*.f64 a1 a1))
#s(approx (+ (* (* (* a1 a1) -1/2) (* th th)) (* a1 a1)) (fma.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th (*.f64 a1 a1)))
#s(approx (* th th) (*.f64 th th))
#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))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (cos th) a1) (/ a1 (sqrt 2))) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a1 a1)) (*.f64 th th) (*.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 (/.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))) (*.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) 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 (* (sqrt 2) (cos th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
#s(approx (cos th) (cos.f64 th))
#s(approx (+ (* (* (* a1 a1) -1/2) (* th th)) (* a1 a1)) (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th))
#s(approx (+ (* (* (* a1 a1) -1/2) (* th th)) (* a1 a1)) (*.f64 (*.f64 th th) (fma.f64 (*.f64 a1 a1) #s(literal -1/2 binary64) (/.f64 (*.f64 a1 a1) (*.f64 th th)))))

eval33.0ms (0.8%)

Memory
24.9MiB live, 68.4MiB allocated; 6ms collecting garbage
Compiler

Compiled 4 009 to 1 627 computations (59.4% saved)

prune41.0ms (0.9%)

Memory
-28.6MiB live, 71.6MiB allocated; 16ms collecting garbage
Pruning

39 alts after pruning (34 fresh and 5 done)

PrunedKeptTotal
New31414328
Fresh32023
Picked235
Done022
Total31939358
Accuracy
100.0%
Counts
358 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(/.f64 (fma.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))
98.9%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)))
15.2%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)))
62.2%
(*.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)))
67.0%
(*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
30.3%
#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)))))
31.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 #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)))) th (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
60.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 #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)))) th (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
66.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 (neg.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)))))
✓67.0%
#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))))
67.0%
#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))))
14.0%
#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))))
▶98.9%
#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))))
✓15.2%
#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))))
17.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (* (cos th) a1) (fma.f64 (*.f64 (*.f64 th th) a1) #s(literal -1/2 binary64) a1)) a1) (sqrt.f64 #s(literal 2 binary64))))
12.9%
#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))))
38.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
✓66.4%
#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))))
64.6%
#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))))
13.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 a1 th) (*.f64 a1 th)) #s(literal -1/2 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
11.5%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
13.5%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* (cos th) a1) a1) #s(approx (+ (* (* (* a1 a1) -1/2) (* th th)) (* a1 a1)) (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th))) (sqrt.f64 #s(literal 2 binary64))))
98.9%
#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))
15.2%
#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))) a1) a1))
15.2%
#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)))
✓99.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
▶60.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.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))))))
61.5%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
66.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) #s(approx (* (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))))
67.0%
#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)))
✓15.2%
#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)))))
15.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
▶12.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (cos th) a1) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
28.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (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 a1 a1))))
52.2%
#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 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1) a1)))
▶27.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1))))
12.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
▶45.2%
#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))))))
16.5%
#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 2 013 to 1 636 computations (18.7% saved)

series49.0ms (1.1%)

Memory
26.4MiB live, 118.1MiB allocated; 7ms collecting garbage
Counts
44 → 117
Calls
Call 1
Inputs
#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))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(*.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)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (cos th) a1) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(approx (* (cos th) a1) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (cos th) a1) a1)
a1
(/.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)) (sqrt 2)) (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1)))
(*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1))
#s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a2 a2)
(*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(*.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))) (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) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(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))))
(/.f64 (*.f64 (*.f64 a2 th) (*.f64 a2 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 a2 th) (*.f64 a2 th))
(*.f64 a2 th)
#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))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.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))))))
(*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.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)))))
(*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.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))))
#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 (-.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))
(-.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 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th))
(fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
(*.f64 th th)
#s(literal 1/24 binary64)
#s(literal 1 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 (* (* (cos th) a1) (/ a1 (sqrt 2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* (cos th) a1) #s(hole binary64 (* a1 (cos th))))
#s(approx a1 #s(hole binary64 a1))
#s(approx (/ a1 (sqrt 2)) #s(hole binary64 (/ a1 (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) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) #s(hole binary64 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
#s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) #s(hole binary64 (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (pow a1 2))))
#s(approx (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) #s(hole binary64 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
#s(approx (* (* a1 a1) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (sqrt 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 (+ (* (/ (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) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (* (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) #s(hole binary64 (+ (/ 1 (sqrt 2)) (/ (pow a2 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 (* (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 (/ (* (* (cos th) a2) a2) (sqrt 2)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (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 (* a2 a2) #s(hole binary64 (pow a2 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 (+ (* (/ (* (* a2 th) (* a2 th)) (sqrt 2)) -1/2) (/ (* a2 a2) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2))))))
#s(approx (/ (* (* a2 th) (* a2 th)) (sqrt 2)) #s(hole binary64 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))
#s(approx (* (* a2 th) (* a2 th)) #s(hole binary64 (* (pow a2 2) (pow th 2))))
#s(approx (* a2 th) #s(hole binary64 (* a2 th)))
#s(approx (/ (* a2 a2) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* a2 a2) 1/2) #s(hole binary64 (* 1/2 (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) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) #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))) (/ 1 (sqrt 2))) #s(hole binary64 (* (pow a2 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 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 (+ (* (/ (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) a2) a2) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (* (* (cos th) a2) a2) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (* (* (cos th) a2) a2) (sqrt 2)) #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) a2) a2) (sqrt 2)) #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) 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 (* (* (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) 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 (+ (* (* (* -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 (+ (* (/ (* (* a2 th) (* a2 th)) (sqrt 2)) -1/2) (/ (* a2 a2) (sqrt 2))) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (+ (* (/ (* (* a2 th) (* a2 th)) (sqrt 2)) -1/2) (/ (* a2 a2) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) #s(hole binary64 (* 1/2 (* (pow a2 2) (sqrt 2)))))
#s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) #s(hole binary64 (+ (* -1/4 (* (pow a2 2) (* (pow th 2) (sqrt 2)))) (* 1/2 (* (pow a2 2) (sqrt 2))))))
#s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) #s(hole binary64 (+ (* 1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/4 (* (pow a2 2) (sqrt 2))) (* 1/48 (* (pow a2 2) (* (pow th 2) (sqrt 2)))))))))
#s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) #s(hole binary64 (+ (* 1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/4 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/1440 (* (pow a2 2) (* (pow th 2) (sqrt 2)))) (* 1/48 (* (pow a2 2) (sqrt 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 (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) #s(hole binary64 (- (* 1/24 (pow th 2)) 1/2)))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) #s(hole binary64 (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
#s(approx (* (+ (* -1/720 (* th th)) 1/24) (* th th)) #s(hole binary64 (* 1/24 (pow th 2))))
#s(approx (* (+ (* -1/720 (* th th)) 1/24) (* th th)) #s(hole binary64 (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))))
#s(approx (+ (* -1/720 (* th th)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* th th)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow th 2)))))
#s(approx (* th th) #s(hole binary64 (pow th 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 (+ (* (/ (* (* a2 th) (* a2 th)) (sqrt 2)) -1/2) (/ (* a2 a2) (sqrt 2))) #s(hole binary64 (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2)))))
#s(approx (+ (* (/ (* (* a2 th) (* a2 th)) (sqrt 2)) -1/2) (/ (* a2 a2) (sqrt 2))) #s(hole binary64 (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (* (cos th) (sqrt 2))))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (* -1/720 (pow th 6))))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) 1/720))))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) (+ 1/720 (/ 1/2 (pow th 4)))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (* (pow th 6) (- (+ (* 1/24 (/ 1 (pow th 2))) (/ 1 (pow th 6))) (+ 1/720 (/ 1/2 (pow th 4)))))))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) #s(hole binary64 (* -1/720 (pow th 4))))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) #s(hole binary64 (* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) #s(hole binary64 (* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) (+ 1/720 (/ 1/2 (pow th 4)))))))
#s(approx (* (+ (* -1/720 (* th th)) 1/24) (* th th)) #s(hole binary64 (* -1/720 (pow th 4))))
#s(approx (* (+ (* -1/720 (* th th)) 1/24) (* th th)) #s(hole binary64 (* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))))
#s(approx (+ (* -1/720 (* th th)) 1/24) #s(hole binary64 (* -1/720 (pow th 2))))
#s(approx (+ (* -1/720 (* th th)) 1/24) #s(hole binary64 (* (pow th 2) (- (* 1/24 (/ 1 (pow th 2))) 1/720))))
Calls

9 calls:

TimeVariablePointExpression
8.0ms
th
@inf
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* (cos th) a2) a2) (sqrt 2)) (* (* (cos th) a2) a2) (* (cos th) a2) (cos th) th a2 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a1) (/ a1 (sqrt 2))) (* (cos th) a1) a1 (/ a1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (* a2 a2) (* (* a1 a1) (sqrt 2)) (* 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))) (+ (* (/ (* (* a2 th) (* a2 th)) (sqrt 2)) -1/2) (/ (* a2 a2) (sqrt 2))) (/ (* (* a2 th) (* a2 th)) (sqrt 2)) (* (* a2 th) (* a2 th)) (* a2 th) -1/2 (/ (* a2 a2) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) (* (* a2 a2) 1/2) 1/2 (* (sqrt 2) (cos th)) (cos th) (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* (+ (* -1/720 (* th th)) 1/24) (* th th)) (+ (* -1/720 (* th th)) 1/24) -1/720 (* th th) 1/24 1)
7.0ms
a2
@0
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* (cos th) a2) a2) (sqrt 2)) (* (* (cos th) a2) a2) (* (cos th) a2) (cos th) th a2 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a1) (/ a1 (sqrt 2))) (* (cos th) a1) a1 (/ a1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (* a2 a2) (* (* a1 a1) (sqrt 2)) (* 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))) (+ (* (/ (* (* a2 th) (* a2 th)) (sqrt 2)) -1/2) (/ (* a2 a2) (sqrt 2))) (/ (* (* a2 th) (* a2 th)) (sqrt 2)) (* (* a2 th) (* a2 th)) (* a2 th) -1/2 (/ (* a2 a2) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) (* (* a2 a2) 1/2) 1/2 (* (sqrt 2) (cos th)) (cos th) (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* (+ (* -1/720 (* th th)) 1/24) (* th th)) (+ (* -1/720 (* th th)) 1/24) -1/720 (* th th) 1/24 1)
5.0ms
a2
@-inf
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* (cos th) a2) a2) (sqrt 2)) (* (* (cos th) a2) a2) (* (cos th) a2) (cos th) th a2 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a1) (/ a1 (sqrt 2))) (* (cos th) a1) a1 (/ a1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (* a2 a2) (* (* a1 a1) (sqrt 2)) (* 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))) (+ (* (/ (* (* a2 th) (* a2 th)) (sqrt 2)) -1/2) (/ (* a2 a2) (sqrt 2))) (/ (* (* a2 th) (* a2 th)) (sqrt 2)) (* (* a2 th) (* a2 th)) (* a2 th) -1/2 (/ (* a2 a2) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) (* (* a2 a2) 1/2) 1/2 (* (sqrt 2) (cos th)) (cos th) (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* (+ (* -1/720 (* th th)) 1/24) (* th th)) (+ (* -1/720 (* th th)) 1/24) -1/720 (* th th) 1/24 1)
5.0ms
a2
@inf
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* (cos th) a2) a2) (sqrt 2)) (* (* (cos th) a2) a2) (* (cos th) a2) (cos th) th a2 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a1) (/ a1 (sqrt 2))) (* (cos th) a1) a1 (/ a1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (* a2 a2) (* (* a1 a1) (sqrt 2)) (* 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))) (+ (* (/ (* (* a2 th) (* a2 th)) (sqrt 2)) -1/2) (/ (* a2 a2) (sqrt 2))) (/ (* (* a2 th) (* a2 th)) (sqrt 2)) (* (* a2 th) (* a2 th)) (* a2 th) -1/2 (/ (* a2 a2) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) (* (* a2 a2) 1/2) 1/2 (* (sqrt 2) (cos th)) (cos th) (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* (+ (* -1/720 (* th th)) 1/24) (* th th)) (+ (* -1/720 (* th th)) 1/24) -1/720 (* th th) 1/24 1)
5.0ms
th
@-inf
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* (cos th) a2) a2) (sqrt 2)) (* (* (cos th) a2) a2) (* (cos th) a2) (cos th) th a2 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a1) (/ a1 (sqrt 2))) (* (cos th) a1) a1 (/ a1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (* a2 a2) (* (* a1 a1) (sqrt 2)) (* 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))) (+ (* (/ (* (* a2 th) (* a2 th)) (sqrt 2)) -1/2) (/ (* a2 a2) (sqrt 2))) (/ (* (* a2 th) (* a2 th)) (sqrt 2)) (* (* a2 th) (* a2 th)) (* a2 th) -1/2 (/ (* a2 a2) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) (* (* a2 a2) 1/2) 1/2 (* (sqrt 2) (cos th)) (cos th) (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* (+ (* -1/720 (* th th)) 1/24) (* th th)) (+ (* -1/720 (* th th)) 1/24) -1/720 (* th th) 1/24 1)

rewrite184.0ms (4.2%)

Memory
12.9MiB live, 241.1MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04343925
04913677
124843539
082953353
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
161 → 342
Calls
Call 1
Inputs
#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))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
(*.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)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (cos th) a1) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(approx (* (cos th) a1) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (cos th) a1) a1)
a1
(/.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)) (sqrt 2)) (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1)))
(*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1))
#s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a2 a2)
(*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(*.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))) (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) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(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))))
(/.f64 (*.f64 (*.f64 a2 th) (*.f64 a2 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 a2 th) (*.f64 a2 th))
(*.f64 a2 th)
#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))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.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))))))
(*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.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)))))
(*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.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))))
#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 (-.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))
(-.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 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th))
(fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
(*.f64 th th)
#s(literal 1/24 binary64)
#s(literal 1 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 (* (* (cos th) a1) (/ a1 (sqrt 2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* (cos th) a1) #s(hole binary64 (* a1 (cos th))))
#s(approx a1 #s(hole binary64 a1))
#s(approx (/ a1 (sqrt 2)) #s(hole binary64 (/ a1 (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) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) #s(hole binary64 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
#s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) #s(hole binary64 (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (pow a1 2))))
#s(approx (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) #s(hole binary64 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
#s(approx (* (* a1 a1) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (sqrt 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 (+ (* (/ (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) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (* (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) #s(hole binary64 (+ (/ 1 (sqrt 2)) (/ (pow a2 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 (* (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 (/ (* (* (cos th) a2) a2) (sqrt 2)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (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 (* a2 a2) #s(hole binary64 (pow a2 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 (+ (* (/ (* (* a2 th) (* a2 th)) (sqrt 2)) -1/2) (/ (* a2 a2) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2))))))
#s(approx (/ (* (* a2 th) (* a2 th)) (sqrt 2)) #s(hole binary64 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))
#s(approx (* (* a2 th) (* a2 th)) #s(hole binary64 (* (pow a2 2) (pow th 2))))
#s(approx (* a2 th) #s(hole binary64 (* a2 th)))
#s(approx (/ (* a2 a2) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) #s(hole binary64 (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (* (* a2 a2) 1/2) #s(hole binary64 (* 1/2 (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) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) #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))) (/ 1 (sqrt 2))) #s(hole binary64 (* (pow a2 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 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 (+ (* (/ (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) a2) a2) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (* (* (cos th) a2) a2) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (* (* (cos th) a2) a2) (sqrt 2)) #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) a2) a2) (sqrt 2)) #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) 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 (* (* (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) 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 (+ (* (* (* -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 (+ (* (/ (* (* a2 th) (* a2 th)) (sqrt 2)) -1/2) (/ (* a2 a2) (sqrt 2))) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (+ (* (/ (* (* a2 th) (* a2 th)) (sqrt 2)) -1/2) (/ (* a2 a2) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) #s(hole binary64 (* 1/2 (* (pow a2 2) (sqrt 2)))))
#s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) #s(hole binary64 (+ (* -1/4 (* (pow a2 2) (* (pow th 2) (sqrt 2)))) (* 1/2 (* (pow a2 2) (sqrt 2))))))
#s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) #s(hole binary64 (+ (* 1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/4 (* (pow a2 2) (sqrt 2))) (* 1/48 (* (pow a2 2) (* (pow th 2) (sqrt 2)))))))))
#s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) #s(hole binary64 (+ (* 1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/4 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/1440 (* (pow a2 2) (* (pow th 2) (sqrt 2)))) (* 1/48 (* (pow a2 2) (sqrt 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 (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) #s(hole binary64 (- (* 1/24 (pow th 2)) 1/2)))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) #s(hole binary64 (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
#s(approx (* (+ (* -1/720 (* th th)) 1/24) (* th th)) #s(hole binary64 (* 1/24 (pow th 2))))
#s(approx (* (+ (* -1/720 (* th th)) 1/24) (* th th)) #s(hole binary64 (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2))))))
#s(approx (+ (* -1/720 (* th th)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* th th)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow th 2)))))
#s(approx (* th th) #s(hole binary64 (pow th 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 (+ (* (/ (* (* a2 th) (* a2 th)) (sqrt 2)) -1/2) (/ (* a2 a2) (sqrt 2))) #s(hole binary64 (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2)))))
#s(approx (+ (* (/ (* (* a2 th) (* a2 th)) (sqrt 2)) -1/2) (/ (* a2 a2) (sqrt 2))) #s(hole binary64 (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))))
#s(approx (* (sqrt 2) (cos th)) #s(hole binary64 (* (cos th) (sqrt 2))))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (* -1/720 (pow th 6))))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) 1/720))))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (* (pow th 6) (- (* 1/24 (/ 1 (pow th 2))) (+ 1/720 (/ 1/2 (pow th 4)))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) #s(hole binary64 (* (pow th 6) (- (+ (* 1/24 (/ 1 (pow th 2))) (/ 1 (pow th 6))) (+ 1/720 (/ 1/2 (pow th 4)))))))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) #s(hole binary64 (* -1/720 (pow th 4))))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) #s(hole binary64 (* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) #s(hole binary64 (* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) (+ 1/720 (/ 1/2 (pow th 4)))))))
#s(approx (* (+ (* -1/720 (* th th)) 1/24) (* th th)) #s(hole binary64 (* -1/720 (pow th 4))))
#s(approx (* (+ (* -1/720 (* th th)) 1/24) (* th th)) #s(hole binary64 (* (pow th 4) (- (* 1/24 (/ 1 (pow th 2))) 1/720))))
#s(approx (+ (* -1/720 (* th th)) 1/24) #s(hole binary64 (* -1/720 (pow th 2))))
#s(approx (+ (* -1/720 (* th th)) 1/24) #s(hole binary64 (* (pow th 2) (- (* 1/24 (/ 1 (pow th 2))) 1/720))))
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2)
(*.f64 (*.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.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 (neg.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 a2 (cos.f64 th)) a2)
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (*.f64 a2 a2))
(*.f64 a2 (cos.f64 th))
(*.f64 (cos.f64 th) a2)
(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 #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))))
(/.f64 #s(literal 2 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)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (cos th) a1) a1)))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (cos th) a1) a1))
(*.f64 #s(approx (* (cos th) a1) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(approx (* (cos th) a1) a1) a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(approx (* (cos th) a1) a1) a1) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (cos th) a1) a1)
a1
(/.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 (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)) (sqrt 2)) (*.f64 (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) a1) a1)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) a1) a1))
(*.f64 (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) a1) a1)
(*.f64 (*.f64 a1 a1) #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1))
#s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (neg.f64 a2) a1) (/.f64 (neg.f64 a2) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (neg.f64 a2) (*.f64 a1 a1)) (/.f64 (neg.f64 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (neg.f64 a2) (*.f64 a1 a1)))
(*.f64 (/.f64 (fabs.f64 a2) a1) (/.f64 (fabs.f64 a2) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (fabs.f64 a2) (*.f64 a1 a1)) (/.f64 (fabs.f64 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fabs.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fabs.f64 a2) (*.f64 a1 a1)))
(*.f64 (/.f64 a2 a1) (/.f64 a2 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (*.f64 a1 a1)))
(*.f64 (/.f64 a2 (*.f64 a1 a1)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a2 (/.f64 a2 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 a2 a2))) (neg.f64 (neg.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (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))
(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))))
(*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.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))) #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) #s(literal -1/2 binary64)) (*.f64 th th) (*.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 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th)) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 th) a2) th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th)) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th))) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th)) (*.f64 a2 a2)) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th)) (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 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) #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 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th)))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th)) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 th) a2) th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th)) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th))) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th)) (*.f64 a2 a2)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 th) a2) th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a2 th) a2) th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 th) a2) th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th)) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th)) (*.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 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 th) a2) th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th)) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th))) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th)) (*.f64 a2 a2)) #s(literal 2 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th)) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th))) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th)) (*.f64 a2 a2)) #s(literal 2 binary64))))))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 th) a2) th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 th) a2) th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 a2 th) (/.f64 (*.f64 a2 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a2 a2) (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 a2 th) a2) th))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 a2 th) a2) th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 a2 th) a2) th) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (neg.f64 (neg.f64 (*.f64 a2 th))) (neg.f64 (neg.f64 (*.f64 a2 th))))
(*.f64 (neg.f64 (fabs.f64 (*.f64 a2 th))) (neg.f64 (fabs.f64 (*.f64 a2 th))))
(*.f64 (fabs.f64 (fabs.f64 (*.f64 a2 th))) (fabs.f64 (fabs.f64 (*.f64 a2 th))))
(*.f64 (pow.f64 (*.f64 a2 th) #s(literal 1 binary64)) (pow.f64 (*.f64 a2 th) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 a2 th) #s(literal 1 binary64)) (*.f64 a2 th))
(*.f64 (*.f64 (*.f64 a2 th) a2) th)
(*.f64 (neg.f64 (*.f64 a2 th)) (neg.f64 (*.f64 a2 th)))
(*.f64 (fabs.f64 (*.f64 a2 th)) (fabs.f64 (*.f64 a2 th)))
(*.f64 (*.f64 a2 th) (*.f64 a2 th))
(*.f64 (*.f64 th th) (*.f64 a2 a2))
(*.f64 (*.f64 a2 a2) (*.f64 th th))
(*.f64 a2 (*.f64 th (*.f64 a2 th)))
(pow.f64 (neg.f64 (*.f64 a2 th)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (*.f64 a2 th)) #s(literal 2 binary64))
(pow.f64 (*.f64 a2 th) #s(literal 2 binary64))
(fabs.f64 (*.f64 (*.f64 (*.f64 a2 th) a2) th))
(exp.f64 (fma.f64 (log.f64 th) #s(literal 2 binary64) (*.f64 (log.f64 a2) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 a2) #s(literal 2 binary64) (*.f64 (log.f64 th) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 th)) #s(literal 2 binary64)))
(*.f64 a2 th)
(*.f64 th a2)
#s(literal -1/2 binary64)
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 a2 a2))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
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(fma.f64 (*.f64 #s(literal -1/720 binary64) th) th #s(literal 1/24 binary64))
(fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 th th) #s(literal -1/720 binary64)) (*.f64 (*.f64 th th) #s(literal -1/720 binary64))) (-.f64 (*.f64 (*.f64 th th) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (*.f64 th th) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 th th) #s(literal -1/720 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 th th) #s(literal -1/720 binary64)) (*.f64 (*.f64 th th) #s(literal -1/720 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 th th) #s(literal -1/720 binary64)))))
(-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 th th)))
(+.f64 (/.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 (*.f64 th th) th) (*.f64 (*.f64 th th) th))) (fma.f64 (*.f64 (*.f64 th th) #s(literal -1/720 binary64)) (*.f64 (*.f64 th th) #s(literal -1/720 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 th th) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) (/.f64 #s(literal 1/13824 binary64) (fma.f64 (*.f64 (*.f64 th th) #s(literal -1/720 binary64)) (*.f64 (*.f64 th th) #s(literal -1/720 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 th th) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))))
(+.f64 (/.f64 #s(literal 1/13824 binary64) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (*.f64 (*.f64 th th) #s(literal -1/720 binary64)) (*.f64 (*.f64 th th) #s(literal -1/720 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 th th) #s(literal -1/720 binary64)))))) (/.f64 (*.f64 #s(literal -1/373248000 binary64) (*.f64 (*.f64 (*.f64 th th) th) (*.f64 (*.f64 th th) th))) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (*.f64 (*.f64 th th) #s(literal -1/720 binary64)) (*.f64 (*.f64 th th) #s(literal -1/720 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 th th) #s(literal -1/720 binary64)))))))
(+.f64 (*.f64 (*.f64 th th) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 th th) #s(literal -1/720 binary64)))
#s(literal -1/720 binary64)
(*.f64 (neg.f64 (fabs.f64 th)) (neg.f64 (fabs.f64 th)))
(*.f64 (fabs.f64 (fabs.f64 th)) (fabs.f64 (fabs.f64 th)))
(*.f64 (exp.f64 (log.f64 th)) (exp.f64 (log.f64 th)))
(*.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(literal 1/24 binary64)
#s(literal 1 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 (cos.f64 th)) (/.f64 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) a1) (/ a1 (sqrt 2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
#s(approx (* (cos th) a1) (*.f64 a1 (cos.f64 th)))
#s(approx a1 a1)
#s(approx (/ a1 (sqrt 2)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 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) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* a1 a1) (sqrt 2)) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#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))) (/.f64 (fma.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th) (*.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 (*.f64 a2 th) a2) th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1) (*.f64 a2 (/.f64 a2 (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 (fma.f64 (/.f64 (*.f64 a2 (cos.f64 th)) a1) (/.f64 a2 a1) (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 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
#s(approx (* (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
#s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (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 (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #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 (/.f64 (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 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 a1 a1)))
#s(approx (/ (* (* (cos th) a2) a2) (sqrt 2)) (*.f64 (*.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (cos th) a2) a2) (*.f64 (*.f64 a2 (cos.f64 th)) a2))
#s(approx (* (cos th) a2) (*.f64 a2 (cos.f64 th)))
#s(approx a2 a2)
#s(approx (* a2 a2) (*.f64 a2 a2))
#s(approx (+ (* (* (* -1/2 (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) th) th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (/.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 (+ (* (* (* -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 (/.f64 (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 a1 a1) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (* (* a2 th) (* a2 th)) (sqrt 2)) -1/2) (/ (* a2 a2) (sqrt 2))) (*.f64 (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (/ (* (* a2 th) (* a2 th)) (sqrt 2)) (/.f64 (*.f64 (*.f64 (*.f64 a2 th) a2) th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* a2 th) (* a2 th)) (*.f64 (*.f64 (*.f64 a2 th) a2) th))
#s(approx (* a2 th) (*.f64 a2 th))
#s(approx (/ (* a2 a2) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (* a2 a2) 1/2) (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a1 a1) a2) (/.f64 (cos.f64 th) a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 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) (sqrt 2))) (/ 1 (sqrt 2))) (* a1 a1)) (*.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) (sqrt 2))) (/ 1 (sqrt 2))) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))) (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 (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #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 (/.f64 (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 (*.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))) (/.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 #s(literal -1/2 binary64) (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 (/.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 (/ (* (* (cos th) a2) a2) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (* (cos th) a2) a2) (sqrt 2)) (/.f64 (fma.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* (* (cos th) a2) a2) (sqrt 2)) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/24 binary64)) (*.f64 th th) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (* (* (cos th) a2) a2) (sqrt 2)) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 a2 a2)) (*.f64 th th) (*.f64 (*.f64 a2 a2) #s(literal 1/24 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#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 (*.f64 a2 a2) #s(literal 1/24 binary64)) (*.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 (*.f64 a2 a2) #s(literal 1/24 binary64))) (*.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 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) th) th #s(literal 1 binary64)))
#s(approx th th)
#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))) (/.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) a1) (/ a1 (sqrt 2))) (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) a1) (/ a1 (sqrt 2))) (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) 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 (+ (* (* (* -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))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 th th)) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (* (* a2 th) (* a2 th)) (sqrt 2)) -1/2) (/ (* a2 a2) (sqrt 2))) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (* (* a2 th) (* a2 th)) (sqrt 2)) -1/2) (/ (* a2 a2) (sqrt 2))) (/.f64 (fma.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) (fma.f64 (*.f64 (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) #s(literal 1/48 binary64))) (*.f64 th th) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) #s(literal -1/1440 binary64))) (*.f64 th th))) (*.f64 th th) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (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) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt 2) (cos th)) (fma.f64 (fma.f64 (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 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 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/720 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 (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (fma.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) th) th #s(literal 1 binary64)))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (-.f64 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)))
#s(approx (* (+ (* -1/720 (* th th)) 1/24) (* th th)) (*.f64 (*.f64 th th) #s(literal 1/24 binary64)))
#s(approx (* (+ (* -1/720 (* th th)) 1/24) (* th th)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) th) th))
#s(approx (+ (* -1/720 (* th th)) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* -1/720 (* th th)) 1/24) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
#s(approx (* th th) (*.f64 th th))
#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 (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)))
#s(approx (+ (* (/ (* (* a2 th) (* a2 th)) (sqrt 2)) -1/2) (/ (* a2 a2) (sqrt 2))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 th) a2) th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ (* (* a2 th) (* a2 th)) (sqrt 2)) -1/2) (/ (* a2 a2) (sqrt 2))) (*.f64 (/.f64 (fma.f64 (*.f64 a2 a2) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (*.f64 th th))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th)))
#s(approx (* (sqrt 2) (cos th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (*.f64 (*.f64 (*.f64 (*.f64 th th) th) (*.f64 (*.f64 th th) th)) #s(literal -1/720 binary64)))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (*.f64 (*.f64 (*.f64 (*.f64 th th) th) (*.f64 (*.f64 th th) th)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/720 binary64))))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (*.f64 (*.f64 (*.f64 (*.f64 th th) th) (*.f64 (*.f64 th th) th)) (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (*.f64 (*.f64 (*.f64 (*.f64 th th) th) (*.f64 (*.f64 th th) th)) (-.f64 (-.f64 (+.f64 (pow.f64 th #s(literal -6 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 th th))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (*.f64 (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1/720 binary64)))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (*.f64 (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/720 binary64))))
#s(approx (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (*.f64 (*.f64 th th) (*.f64 th th))))
#s(approx (* (+ (* -1/720 (* th th)) 1/24) (* th th)) (*.f64 (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1/720 binary64)))
#s(approx (* (+ (* -1/720 (* th th)) 1/24) (* th th)) (*.f64 (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/720 binary64))))
#s(approx (+ (* -1/720 (* th th)) 1/24) (*.f64 (*.f64 th th) #s(literal -1/720 binary64)))
#s(approx (+ (* -1/720 (* th th)) 1/24) (*.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/720 binary64)) (*.f64 th th)))

eval53.0ms (1.2%)

Memory
-30.6MiB live, 127.4MiB allocated; 29ms collecting garbage
Compiler

Compiled 5 173 to 2 073 computations (59.9% saved)

prune57.0ms (1.3%)

Memory
-12.1MiB live, 129.9MiB allocated; 22ms collecting garbage
Pruning

46 alts after pruning (39 fresh and 7 done)

PrunedKeptTotal
New34316359
Fresh62329
Picked325
Done055
Total35246398
Accuracy
100.0%
Counts
398 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)))
15.2%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)))
67.0%
(*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
30.3%
#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)))))
31.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 #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)))) th (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
60.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 #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)))) th (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
66.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 (neg.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)))))
✓67.0%
#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))))
67.0%
#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))))
14.0%
#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))))
✓98.9%
#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))))
✓15.2%
#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))))
60.4%
#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))) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
98.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
60.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #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)) a2) (sqrt.f64 #s(literal 2 binary64))))
17.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (* (cos th) a1) (fma.f64 (*.f64 (*.f64 th th) a1) #s(literal -1/2 binary64) a1)) a1) (sqrt.f64 #s(literal 2 binary64))))
12.9%
#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))))
✓66.4%
#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))))
64.6%
#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))))
13.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 a1 th) (*.f64 a1 th)) #s(literal -1/2 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
13.5%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* (cos th) a1) a1) #s(approx (+ (* (* (* a1 a1) -1/2) (* th th)) (* a1 a1)) (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th))) (sqrt.f64 #s(literal 2 binary64))))
98.9%
#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))
15.2%
#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))) a1) a1))
15.2%
#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)))
60.6%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) (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))))))
✓99.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
15.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) #s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (*.f64 (*.f64 (*.f64 (*.f64 th th) th) (*.f64 (*.f64 th th) th)) #s(literal -1/720 binary64)))))))
66.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) #s(approx (* (sqrt 2) (cos th)) (sqrt.f64 #s(literal 2 binary64)))))
67.0%
#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)))
✓15.2%
#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)))))
99.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
15.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
12.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (cos th) a1) a1) (/.f64 a1 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
✓12.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (cos th) a1) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
28.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (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 a1 a1))))
52.2%
#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 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1) a1)))
38.5%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) a1) a1)))
12.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))))
37.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (*.f64 (/.f64 a2 a1) (/.f64 a2 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 a1 a1))))
66.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
45.2%
#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)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
45.2%
#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 (exp.f64 (*.f64 (log.f64 (*.f64 a2 th)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
45.2%
#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 a2 th) (/.f64 (*.f64 a2 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
29.4%
#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 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th)) (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)))))))
15.8%
#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))) #s(approx (+ (* (/ (* (* a2 th) (* a2 th)) (sqrt 2)) -1/2) (/ (* a2 a2) (sqrt 2))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 th) a2) th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
98.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))))
Compiler

Compiled 2 261 to 1 478 computations (34.6% saved)

regimes185.0ms (4.2%)

Memory
36.9MiB live, 272.4MiB allocated; 21ms collecting garbage
Counts
70 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (cos th) a1) a1) (/.f64 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)) (*.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))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) #s(approx (* (sqrt 2) (cos th)) (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)) (sqrt 2)) (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 #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 (* (cos th) a1) a1) (/.f64 a1 (/.f64 #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)) (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)))
#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 (+ (* (/ (* (* a2 th) (* a2 th)) (sqrt 2)) -1/2) (/ (* a2 a2) (sqrt 2))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 th) a2) th) (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 #s(approx (* (* (cos th) a1) a1) #s(approx (+ (* (* (* a1 a1) -1/2) (* th th)) (* a1 a1)) (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th))) (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) (fma.f64 (*.f64 (*.f64 th th) a1) #s(literal -1/2 binary64) 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 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) 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)) (sqrt 2)) (*.f64 (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) a1) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (*.f64 (/.f64 a2 a1) (/.f64 a2 (*.f64 a1 (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 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (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(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 #s(approx (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 th th) (*.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 (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 a1 th) (*.f64 a1 th)) #s(literal -1/2 binary64) (*.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)) (sqrt 2)) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (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)))
#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))) (fma.f64 (*.f64 (*.f64 a2 th) (/.f64 (*.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))) #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)) (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 (+ (* (/ (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 (*.f64 (neg.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)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) #s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (*.f64 (*.f64 (*.f64 (*.f64 th th) th) (*.f64 (*.f64 th th) th)) #s(literal -1/720 binary64)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 #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)))) 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 #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)))) 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))) #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)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (/.f64 #s(literal 2 binary64) (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))) (/.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))) (/.f64 #s(approx (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) (*.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 a2 a2) #s(literal 1/2 binary64)) (*.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))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (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 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 (fma.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th)) (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)))))))
#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 (exp.f64 (*.f64 (log.f64 (*.f64 a2 th)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
(+.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))) (/.f64 (*.f64 #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)) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) (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))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (cos.f64 th) (*.f64 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 a2 (cos.f64 th)) (/.f64 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) 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 (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))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) (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 a1 a1)))
(*.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))) #s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) 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 (*.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 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.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)))
(/.f64 (fma.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 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 (/.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))
(/.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))
Outputs
(/.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))
Calls

8 calls:

31.0ms
(*.f64 a1 a1)
30.0ms
(+.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)))
29.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
21.0ms
a1
21.0ms
th
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)

regimes227.0ms (5.1%)

Memory
12.8MiB live, 232.7MiB allocated; 37ms collecting garbage
Counts
69 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (cos th) a1) a1) (/.f64 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)) (*.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))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) #s(approx (* (sqrt 2) (cos th)) (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)) (sqrt 2)) (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 #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 (* (cos th) a1) a1) (/.f64 a1 (/.f64 #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)) (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)))
#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 (+ (* (/ (* (* a2 th) (* a2 th)) (sqrt 2)) -1/2) (/ (* a2 a2) (sqrt 2))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 th) a2) th) (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 #s(approx (* (* (cos th) a1) a1) #s(approx (+ (* (* (* a1 a1) -1/2) (* th th)) (* a1 a1)) (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th))) (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) (fma.f64 (*.f64 (*.f64 th th) a1) #s(literal -1/2 binary64) 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 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) 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)) (sqrt 2)) (*.f64 (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) a1) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (*.f64 (/.f64 a2 a1) (/.f64 a2 (*.f64 a1 (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 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (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(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 #s(approx (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 th th) (*.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 (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 a1 th) (*.f64 a1 th)) #s(literal -1/2 binary64) (*.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)) (sqrt 2)) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (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)))
#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))) (fma.f64 (*.f64 (*.f64 a2 th) (/.f64 (*.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))) #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)) (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 (+ (* (/ (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 (*.f64 (neg.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)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) #s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (*.f64 (*.f64 (*.f64 (*.f64 th th) th) (*.f64 (*.f64 th th) th)) #s(literal -1/720 binary64)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 #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)))) 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 #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)))) 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))) #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)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (/.f64 #s(literal 2 binary64) (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))) (/.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))) (/.f64 #s(approx (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) (*.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 a2 a2) #s(literal 1/2 binary64)) (*.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))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (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 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 (fma.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th)) (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)))))))
#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 (exp.f64 (*.f64 (log.f64 (*.f64 a2 th)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
(+.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))) (/.f64 (*.f64 #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)) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) (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))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (cos.f64 th) (*.f64 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 a2 (cos.f64 th)) (/.f64 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) 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 (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))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) (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 a1 a1)))
(*.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))) #s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) 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 (*.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 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.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)))
(/.f64 (fma.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 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 (/.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 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
Calls

8 calls:

45.0ms
(*.f64 a2 a2)
40.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
38.0ms
(+.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)))
31.0ms
a2
21.0ms
a1
Results
AccuracySegmentsBranch
99.6%1(*.f64 a1 a1)
99.6%1a1
99.6%1th
99.6%1(*.f64 a2 a2)
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%1a2
Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes257.0ms (5.8%)

Memory
-21.7MiB live, 252.0MiB allocated; 80ms collecting garbage
Counts
63 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (cos th) a1) a1) (/.f64 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)) (*.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))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) #s(approx (* (sqrt 2) (cos th)) (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)) (sqrt 2)) (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 #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 (* (cos th) a1) a1) (/.f64 a1 (/.f64 #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)) (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)))
#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 (+ (* (/ (* (* a2 th) (* a2 th)) (sqrt 2)) -1/2) (/ (* a2 a2) (sqrt 2))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 th) a2) th) (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 #s(approx (* (* (cos th) a1) a1) #s(approx (+ (* (* (* a1 a1) -1/2) (* th th)) (* a1 a1)) (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th))) (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) (fma.f64 (*.f64 (*.f64 th th) a1) #s(literal -1/2 binary64) 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 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) 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)) (sqrt 2)) (*.f64 (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) a1) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (*.f64 (/.f64 a2 a1) (/.f64 a2 (*.f64 a1 (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 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (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(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 #s(approx (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 th th) (*.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 (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 a1 th) (*.f64 a1 th)) #s(literal -1/2 binary64) (*.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)) (sqrt 2)) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (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)))
#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))) (fma.f64 (*.f64 (*.f64 a2 th) (/.f64 (*.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))) #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)) (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 (+ (* (/ (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 (*.f64 (neg.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)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) #s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (*.f64 (*.f64 (*.f64 (*.f64 th th) th) (*.f64 (*.f64 th th) th)) #s(literal -1/720 binary64)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 #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)))) 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 #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)))) 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))) #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)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (/.f64 #s(literal 2 binary64) (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))) (/.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))) (/.f64 #s(approx (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) (*.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 a2 a2) #s(literal 1/2 binary64)) (*.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))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (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 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 (fma.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th)) (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)))))))
#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 (exp.f64 (*.f64 (log.f64 (*.f64 a2 th)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
(+.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))) (/.f64 (*.f64 #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)) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) (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))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (cos.f64 th) (*.f64 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 a2 (cos.f64 th)) (/.f64 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) 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 (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))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) (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 a1 a1)))
(*.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))) #s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) 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 (*.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 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.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:

90.0ms
a2
66.0ms
(+.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)))
18.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
18.0ms
(*.f64 a1 a1)
17.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
99.5%1(*.f64 a2 a2)
99.5%1(*.f64 a1 a1)
99.5%1(cos.f64 th)
99.5%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.5%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)))
99.5%1a1
99.5%1a2
99.5%1th
Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes140.0ms (3.2%)

Memory
14.3MiB live, 287.4MiB allocated; 31ms collecting garbage
Counts
62 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (cos th) a1) a1) (/.f64 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)) (*.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))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) #s(approx (* (sqrt 2) (cos th)) (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)) (sqrt 2)) (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 #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 (* (cos th) a1) a1) (/.f64 a1 (/.f64 #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)) (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)))
#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 (+ (* (/ (* (* a2 th) (* a2 th)) (sqrt 2)) -1/2) (/ (* a2 a2) (sqrt 2))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 th) a2) th) (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 #s(approx (* (* (cos th) a1) a1) #s(approx (+ (* (* (* a1 a1) -1/2) (* th th)) (* a1 a1)) (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th))) (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) (fma.f64 (*.f64 (*.f64 th th) a1) #s(literal -1/2 binary64) 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 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) 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)) (sqrt 2)) (*.f64 (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) a1) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (*.f64 (/.f64 a2 a1) (/.f64 a2 (*.f64 a1 (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 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (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(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 #s(approx (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 th th) (*.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 (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 a1 th) (*.f64 a1 th)) #s(literal -1/2 binary64) (*.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)) (sqrt 2)) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (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)))
#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))) (fma.f64 (*.f64 (*.f64 a2 th) (/.f64 (*.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))) #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)) (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 (+ (* (/ (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 (*.f64 (neg.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)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) #s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (*.f64 (*.f64 (*.f64 (*.f64 th th) th) (*.f64 (*.f64 th th) th)) #s(literal -1/720 binary64)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 #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)))) 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 #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)))) 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))) #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)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (/.f64 #s(literal 2 binary64) (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))) (/.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))) (/.f64 #s(approx (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) (*.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 a2 a2) #s(literal 1/2 binary64)) (*.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))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (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 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 (fma.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th)) (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)))))))
#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 (exp.f64 (*.f64 (log.f64 (*.f64 a2 th)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
(+.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))) (/.f64 (*.f64 #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)) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) (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))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (cos.f64 th) (*.f64 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 a2 (cos.f64 th)) (/.f64 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) 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 (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))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) (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 a1 a1)))
(*.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))) #s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) 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 (*.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 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
Calls

8 calls:

19.0ms
(+.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)))
18.0ms
a2
18.0ms
th
18.0ms
(cos.f64 th)
17.0ms
a1
Results
AccuracySegmentsBranch
99.0%1(*.f64 a2 a2)
99.0%1(*.f64 a1 a1)
99.0%1(cos.f64 th)
99.0%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.0%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)))
99.0%1a1
99.0%1a2
99.0%1th
Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes173.0ms (3.9%)

Memory
-2.9MiB live, 289.8MiB allocated; 73ms collecting garbage
Counts
61 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (cos th) a1) a1) (/.f64 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)) (*.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))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) #s(approx (* (sqrt 2) (cos th)) (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)) (sqrt 2)) (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 #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 (* (cos th) a1) a1) (/.f64 a1 (/.f64 #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)) (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)))
#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 (+ (* (/ (* (* a2 th) (* a2 th)) (sqrt 2)) -1/2) (/ (* a2 a2) (sqrt 2))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 th) a2) th) (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 #s(approx (* (* (cos th) a1) a1) #s(approx (+ (* (* (* a1 a1) -1/2) (* th th)) (* a1 a1)) (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th))) (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) (fma.f64 (*.f64 (*.f64 th th) a1) #s(literal -1/2 binary64) 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 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) 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)) (sqrt 2)) (*.f64 (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) a1) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (*.f64 (/.f64 a2 a1) (/.f64 a2 (*.f64 a1 (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 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (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(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 #s(approx (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 th th) (*.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 (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 a1 th) (*.f64 a1 th)) #s(literal -1/2 binary64) (*.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)) (sqrt 2)) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (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)))
#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))) (fma.f64 (*.f64 (*.f64 a2 th) (/.f64 (*.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))) #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)) (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 (+ (* (/ (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 (*.f64 (neg.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)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) #s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (*.f64 (*.f64 (*.f64 (*.f64 th th) th) (*.f64 (*.f64 th th) th)) #s(literal -1/720 binary64)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 #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)))) 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 #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)))) 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))) #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)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (/.f64 #s(literal 2 binary64) (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))) (/.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))) (/.f64 #s(approx (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) (*.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 a2 a2) #s(literal 1/2 binary64)) (*.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))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (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 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 (fma.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th)) (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)))))))
#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 (exp.f64 (*.f64 (log.f64 (*.f64 a2 th)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
(+.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))) (/.f64 (*.f64 #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)) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) (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))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (cos.f64 th) (*.f64 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 a2 (cos.f64 th)) (/.f64 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) 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 (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))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) (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 a1 a1)))
(*.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))) #s(approx (* (* (* a2 a2) 1/2) (* (sqrt 2) (cos th))) (*.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) 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 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
Calls

8 calls:

44.0ms
(*.f64 a1 a1)
24.0ms
a2
22.0ms
a1
17.0ms
(cos.f64 th)
16.0ms
(+.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
99.0%1(*.f64 a2 a2)
99.0%1(*.f64 a1 a1)
99.0%1(cos.f64 th)
99.0%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.0%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)))
99.0%1a1
99.0%1a2
99.0%1th
Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes107.0ms (2.4%)

Memory
-21.0MiB live, 217.7MiB allocated; 19ms collecting garbage
Counts
49 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (cos th) a1) a1) (/.f64 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)) (*.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))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) #s(approx (* (sqrt 2) (cos th)) (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)) (sqrt 2)) (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 #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 (* (cos th) a1) a1) (/.f64 a1 (/.f64 #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)) (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)))
#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 (+ (* (/ (* (* a2 th) (* a2 th)) (sqrt 2)) -1/2) (/ (* a2 a2) (sqrt 2))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 th) a2) th) (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 #s(approx (* (* (cos th) a1) a1) #s(approx (+ (* (* (* a1 a1) -1/2) (* th th)) (* a1 a1)) (*.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) th) th))) (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) (fma.f64 (*.f64 (*.f64 th th) a1) #s(literal -1/2 binary64) 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 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) 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)) (sqrt 2)) (*.f64 (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) a1) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (*.f64 (/.f64 a2 a1) (/.f64 a2 (*.f64 a1 (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 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (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(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 #s(approx (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (*.f64 th th) (*.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 (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 a1 th) (*.f64 a1 th)) #s(literal -1/2 binary64) (*.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)) (sqrt 2)) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a1) a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (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)))
#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))) (fma.f64 (*.f64 (*.f64 a2 th) (/.f64 (*.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))) #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)) (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 (+ (* (/ (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 (*.f64 (neg.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)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) #s(approx (+ (* (- (* (+ (* -1/720 (* th th)) 1/24) (* th th)) 1/2) (* th th)) 1) (*.f64 (*.f64 (*.f64 (*.f64 th th) th) (*.f64 (*.f64 th th) th)) #s(literal -1/720 binary64)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 #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)))) 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 #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)))) 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))) #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)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (/.f64 #s(literal 2 binary64) (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))) (/.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))) (/.f64 #s(approx (* (* (cos th) a1) a1) (fma.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) (*.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 a2 a2) #s(literal 1/2 binary64)) (*.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))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (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 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 (fma.f64 (*.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (*.f64 th th)) (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)))))))
#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 (exp.f64 (*.f64 (log.f64 (*.f64 a2 th)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
(+.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))) (/.f64 (*.f64 #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)) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) (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))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (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))) #s(approx (+ (* (/ (* (* a2 th) (* a2 th)) (sqrt 2)) -1/2) (/ (* a2 a2) (sqrt 2))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 th) a2) th) (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

8 calls:

15.0ms
a1
14.0ms
(cos.f64 th)
13.0ms
th
12.0ms
a2
12.0ms
(+.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
67.0%1th
67.0%1(*.f64 a2 a2)
69.0%2(*.f64 a1 a1)
77.2%2(cos.f64 th)
77.2%2(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
77.6%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)))
69.0%2a1
69.8%2a2
Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes23.0ms (0.5%)

Memory
-1.2MiB live, 45.0MiB allocated; 2ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (cos th) a1) a1) (/.f64 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)) (*.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))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) #s(approx (* (sqrt 2) (cos th)) (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)) (sqrt 2)) (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 #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 (* (cos th) a1) a1) (/.f64 a1 (/.f64 #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)) (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)))
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

7 calls:

4.0ms
a1
3.0ms
a2
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
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
3.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
67.0%1(*.f64 a2 a2)
67.0%1(*.f64 a1 a1)
67.0%1a1
67.0%1a2
67.0%1(cos.f64 th)
67.0%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
67.0%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 29 to 37 computations (-27.6% saved)

regimes20.0ms (0.5%)

Memory
-5.4MiB live, 40.7MiB allocated; 2ms collecting garbage
Accuracy

Total -34.4b remaining (-159.6%)

Threshold costs -34.4b (-159.6%)

Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (cos th) a1) a1) (/.f64 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)) (*.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))) (*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) #s(approx (* (sqrt 2) (cos th)) (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)) (sqrt 2)) (*.f64 #s(approx (+ (/ (* a2 a2) (* (* a1 a1) (sqrt 2))) (/ 1 (sqrt 2))) (/.f64 #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 (* (cos th) a1) a1) (/.f64 a1 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
Calls

8 calls:

3.0ms
(cos.f64 th)
2.0ms
a2
2.0ms
th
2.0ms
a1
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
66.4%1th
66.4%1(*.f64 a1 a1)
66.4%1(cos.f64 th)
66.4%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
66.4%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)))
66.4%1a1
66.4%1(*.f64 a2 a2)
66.4%1a2
Compiler

Compiled 30 to 40 computations (-33.3% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-2.819487253868828e-122
-6.618538417918041e-181
Compiler

Compiled 19 to 18 computations (5.3% saved)

derivations451.0ms (10.2%)

Memory
12.5MiB live, 423.7MiB allocated; 135ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 155 to 75 computations (51.6% saved)

preprocess128.0ms (2.9%)

Memory
36.4MiB live, 274.5MiB allocated; 21ms collecting garbage
Remove

(abs th)

Compiler

Compiled 2 845 to 2 077 computations (27% saved)

end0.0ms (0%)

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

Profiling

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