Migdal et al, Equation (64)

Time bar (total: 5.2s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 21 to 14 computations (33.3% saved)

sample1.4s (27.6%)

Memory
3.6MiB live, 2 786.5MiB allocated; 571ms collecting garbage
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 582.0ms
ival-cos: 351.0ms (60.3% of total)
ival-mult!: 166.0ms (28.5% of total)
ival-div!: 46.0ms (7.9% of total)
ival-add!: 18.0ms (3.1% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

preprocess62.0ms (1.2%)

Memory
-23.5MiB live, 71.0MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

(abs a1)

(abs a2)

(abs th)

(sort a1 a2)

Compiler

Compiled 32 to 24 computations (25% saved)

series26.0ms (0.5%)

Memory
4.3MiB live, 54.7MiB allocated; 4ms 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
10.0ms
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)

rewrite182.0ms (3.5%)

Memory
17.8MiB live, 290.5MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval18.0ms (0.4%)

Memory
9.1MiB live, 51.6MiB allocated; 4ms collecting garbage
Compiler

Compiled 1 858 to 596 computations (67.9% saved)

prune25.0ms (0.5%)

Memory
-10.3MiB live, 37.3MiB allocated; 17ms collecting garbage
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New15613169
Fresh000
Picked101
Done000
Total15713170
Accuracy
100.0%
Counts
170 → 13
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))
99.3%
(/.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)))))
99.6%
(/.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)))
24.1%
(-.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)))))
99.6%
(+.f64 (*.f64 (/.f64 (cos.f64 th) (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
28.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
66.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
99.3%
#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))))
14.7%
#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))))
75.2%
#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 550 to 456 computations (17.1% saved)

series1.1s (20.4%)

Memory
-165.8MiB live, 361.9MiB allocated; 1.5s collecting garbage
Counts
36 → 148
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))) (/.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)
#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))
(*.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)
(*.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)
(*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))
(/.f64 a1 a2)
#s(literal 1 binary64)
(/.f64 (cos.f64 th) (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)))))
(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)) (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (/ (* a2 (cos th)) (sqrt 2))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (+ (/ (* a2 (cos th)) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* a2 (sqrt 2))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 (+ 1 (/ (pow a1 2) (pow a2 2)))))
#s(approx (/ a1 a2) #s(hole binary64 (/ a1 a2)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (* -1 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (+ (* -1 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* -1 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (* (sqrt 2) (* (cos th) (* (neg a1) a1))) #s(hole binary64 (* -1 (* (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 (* 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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (* a2 (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (* a2 (sqrt 2))) (/ (* a2 (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (* (pow a1 2) (sqrt 2))) (/ (cos th) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 (/ (pow a1 2) (pow a2 2))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (* -1 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (* (pow a1 2) (+ (* -1 (* (cos th) (sqrt 2))) (* -1 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 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 (/ (* (* (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (/ (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) a2)))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (pow a2 2))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (pow a2 2))))
#s(approx (/ (+ (* (* (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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (* a2 (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (* (pow a2 2) (+ (* -1 (* (cos th) (sqrt 2))) (* -1 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (* -1 (* a2 (+ (* -1 (/ (cos th) (sqrt 2))) (* -1 (/ (* (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 (/ (* (* (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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (+ (* -1/2 (/ (* a2 (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* 1/24 (/ (* a2 (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))) (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* a2 (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (* 1/24 (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))))) (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (+ 1 (/ (pow a1 2) (pow a2 2))) (sqrt 2))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ 1 (/ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ 1 (/ (pow a1 2) (pow a2 2))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* 1/24 (/ (+ 1 (/ (pow a1 2) (pow a2 2))) (sqrt 2))))))) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (* (pow a1 2) (sqrt 2))) (* -1 (* (pow a2 2) (sqrt 2)))) (pow (sqrt 2) 2)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (+ (* -1 (* (pow th 2) (+ (* 1/2 (/ (pow a1 2) (sqrt 2))) (* 1/2 (/ (pow a2 2) (sqrt 2)))))) (* -1 (/ (+ (* -1 (* (pow a1 2) (sqrt 2))) (* -1 (* (pow a2 2) (sqrt 2)))) (pow (sqrt 2) 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (* (pow a1 2) (sqrt 2))) (* -1 (* (pow a2 2) (sqrt 2)))) (pow (sqrt 2) 2))) (* (pow th 2) (+ (* -1 (* (pow th 2) (+ (* -1/24 (/ (pow a1 2) (sqrt 2))) (* -1/24 (/ (pow a2 2) (sqrt 2)))))) (* -1 (+ (* 1/2 (/ (pow a1 2) (sqrt 2))) (* 1/2 (/ (pow a2 2) (sqrt 2))))))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (* (pow a1 2) (sqrt 2))) (* -1 (* (pow a2 2) (sqrt 2)))) (pow (sqrt 2) 2))) (* (pow th 2) (+ (* -1 (+ (* 1/2 (/ (pow a1 2) (sqrt 2))) (* 1/2 (/ (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* -1 (* (pow th 2) (+ (* 1/720 (/ (pow a1 2) (sqrt 2))) (* 1/720 (/ (pow a2 2) (sqrt 2)))))) (* -1 (+ (* -1/24 (/ (pow a1 2) (sqrt 2))) (* -1/24 (/ (pow a2 2) (sqrt 2))))))))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (+ (* -1 (* (pow a1 2) (sqrt 2))) (* -1 (* (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (+ (* -1 (* (pow a1 2) (sqrt 2))) (+ (* -1 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2)))))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (+ (* -1 (* (pow a1 2) (sqrt 2))) (+ (* -1 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (+ (* 1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/24 (* (pow a1 2) (sqrt 2))) (* -1/24 (* (pow a2 2) (sqrt 2))))))))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (+ (* -1 (* (pow a1 2) (sqrt 2))) (+ (* -1 (* (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 (* (sqrt 2) (* (cos th) (* (neg a1) a1))) #s(hole binary64 (* -1 (* (pow a1 2) (sqrt 2)))))
#s(approx (* (sqrt 2) (* (cos th) (* (neg a1) a1))) #s(hole binary64 (+ (* -1 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2)))))))
#s(approx (* (sqrt 2) (* (cos th) (* (neg a1) a1))) #s(hole binary64 (+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/24 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* 1/2 (* (pow a1 2) (sqrt 2))))))))
#s(approx (* (sqrt 2) (* (cos th) (* (neg a1) a1))) #s(hole binary64 (+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/24 (* (pow a1 2) (sqrt 2))) (* 1/720 (* (pow a1 2) (* (pow th 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) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (/ (* (pow a2 2) (* (cos th) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (/ (* a2 (* (cos th) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (* (cos th) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* -1 (* (pow a2 2) (* (cos th) (sqrt 2))))) (pow (sqrt 2) 2)))))
Calls

9 calls:

TimeVariablePointExpression
979.0ms
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))) (/ (* (* (cos th) a2) a2) (sqrt 2)) (* (* (cos th) a2) a2) (* (cos th) a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) 1 (/ (cos th) (sqrt 2)) (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (* (cos th) (* (neg a1) a1))) (* (sqrt 2) (neg (sqrt 2))))
27.0ms
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))) (/ (* (* (cos th) a2) a2) (sqrt 2)) (* (* (cos th) a2) a2) (* (cos th) a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) 1 (/ (cos th) (sqrt 2)) (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (* (cos th) (* (neg a1) a1))) (* (sqrt 2) (neg (sqrt 2))))
16.0ms
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))) (/ (* (* (cos th) a2) a2) (sqrt 2)) (* (* (cos th) a2) a2) (* (cos th) a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) 1 (/ (cos th) (sqrt 2)) (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (* (cos th) (* (neg a1) a1))) (* (sqrt 2) (neg (sqrt 2))))
7.0ms
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))) (/ (* (* (cos th) a2) a2) (sqrt 2)) (* (* (cos th) a2) a2) (* (cos th) a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) 1 (/ (cos th) (sqrt 2)) (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (* (cos th) (* (neg a1) a1))) (* (sqrt 2) (neg (sqrt 2))))
7.0ms
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))) (/ (* (* (cos th) a2) a2) (sqrt 2)) (* (* (cos th) a2) a2) (* (cos th) a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) 1 (/ (cos th) (sqrt 2)) (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (* (cos th) (* (neg a1) a1))) (* (sqrt 2) (neg (sqrt 2))))

rewrite200.0ms (3.8%)

Memory
-29.0MiB live, 258.9MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06335872
07015061
140464854
082884739
Stop Event
iter-limit
node-limit
iter-limit
Counts
184 → 400
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))) (/.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)
#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))
(*.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)
(*.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)
(*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))
(/.f64 a1 a2)
#s(literal 1 binary64)
(/.f64 (cos.f64 th) (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)))))
(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)) (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (/ (* a2 (cos th)) (sqrt 2))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (+ (/ (* a2 (cos th)) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* a2 (sqrt 2))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 (+ 1 (/ (pow a1 2) (pow a2 2)))))
#s(approx (/ a1 a2) #s(hole binary64 (/ a1 a2)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (* -1 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (+ (* -1 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* -1 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (* (sqrt 2) (* (cos th) (* (neg a1) a1))) #s(hole binary64 (* -1 (* (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 (* 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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (* a2 (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (* a2 (sqrt 2))) (/ (* a2 (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (* (pow a1 2) (sqrt 2))) (/ (cos th) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 (/ (pow a1 2) (pow a2 2))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (* -1 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (* (pow a1 2) (+ (* -1 (* (cos th) (sqrt 2))) (* -1 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 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 (/ (* (* (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (/ (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) a2)))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (pow a2 2))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (pow a2 2))))
#s(approx (/ (+ (* (* (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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (* a2 (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (* (pow a2 2) (+ (* -1 (* (cos th) (sqrt 2))) (* -1 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (* -1 (* a2 (+ (* -1 (/ (cos th) (sqrt 2))) (* -1 (/ (* (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 (/ (* (* (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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (+ (* -1/2 (/ (* a2 (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* 1/24 (/ (* a2 (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))) (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* a2 (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (* 1/24 (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))))) (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (+ 1 (/ (pow a1 2) (pow a2 2))) (sqrt 2))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ 1 (/ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ 1 (/ (pow a1 2) (pow a2 2))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* 1/24 (/ (+ 1 (/ (pow a1 2) (pow a2 2))) (sqrt 2))))))) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (* (pow a1 2) (sqrt 2))) (* -1 (* (pow a2 2) (sqrt 2)))) (pow (sqrt 2) 2)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (+ (* -1 (* (pow th 2) (+ (* 1/2 (/ (pow a1 2) (sqrt 2))) (* 1/2 (/ (pow a2 2) (sqrt 2)))))) (* -1 (/ (+ (* -1 (* (pow a1 2) (sqrt 2))) (* -1 (* (pow a2 2) (sqrt 2)))) (pow (sqrt 2) 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (* (pow a1 2) (sqrt 2))) (* -1 (* (pow a2 2) (sqrt 2)))) (pow (sqrt 2) 2))) (* (pow th 2) (+ (* -1 (* (pow th 2) (+ (* -1/24 (/ (pow a1 2) (sqrt 2))) (* -1/24 (/ (pow a2 2) (sqrt 2)))))) (* -1 (+ (* 1/2 (/ (pow a1 2) (sqrt 2))) (* 1/2 (/ (pow a2 2) (sqrt 2))))))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (* (pow a1 2) (sqrt 2))) (* -1 (* (pow a2 2) (sqrt 2)))) (pow (sqrt 2) 2))) (* (pow th 2) (+ (* -1 (+ (* 1/2 (/ (pow a1 2) (sqrt 2))) (* 1/2 (/ (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* -1 (* (pow th 2) (+ (* 1/720 (/ (pow a1 2) (sqrt 2))) (* 1/720 (/ (pow a2 2) (sqrt 2)))))) (* -1 (+ (* -1/24 (/ (pow a1 2) (sqrt 2))) (* -1/24 (/ (pow a2 2) (sqrt 2))))))))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (+ (* -1 (* (pow a1 2) (sqrt 2))) (* -1 (* (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (+ (* -1 (* (pow a1 2) (sqrt 2))) (+ (* -1 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2)))))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (+ (* -1 (* (pow a1 2) (sqrt 2))) (+ (* -1 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (+ (* 1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/24 (* (pow a1 2) (sqrt 2))) (* -1/24 (* (pow a2 2) (sqrt 2))))))))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (+ (* -1 (* (pow a1 2) (sqrt 2))) (+ (* -1 (* (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 (* (sqrt 2) (* (cos th) (* (neg a1) a1))) #s(hole binary64 (* -1 (* (pow a1 2) (sqrt 2)))))
#s(approx (* (sqrt 2) (* (cos th) (* (neg a1) a1))) #s(hole binary64 (+ (* -1 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2)))))))
#s(approx (* (sqrt 2) (* (cos th) (* (neg a1) a1))) #s(hole binary64 (+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/24 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* 1/2 (* (pow a1 2) (sqrt 2))))))))
#s(approx (* (sqrt 2) (* (cos th) (* (neg a1) a1))) #s(hole binary64 (+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/24 (* (pow a1 2) (sqrt 2))) (* 1/720 (* (pow a1 2) (* (pow th 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) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (/ (* (pow a2 2) (* (cos th) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (/ (* a2 (* (cos th) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (* (cos th) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* -1 (* (pow a2 2) (* (cos th) (sqrt 2))))) (pow (sqrt 2) 2)))))
Outputs
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 4 binary64))
(/.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 a1 a1) (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 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 a1 a1) (cos.f64 th)))) #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 a1 a1) (cos.f64 th)))) #s(literal -2 binary64))
(/.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 a2) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (fma.f64 (*.f64 a1 a1) (cos.f64 th) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (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 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 a2) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (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 (neg.f64 a2) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)) (sqrt.f64 #s(literal 2 binary64)))) #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 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1 (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (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) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
(fma.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
(fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 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) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 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) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
(-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1) (*.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)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -2 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -2 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) 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 (cos.f64 th) (*.f64 (neg.f64 a1) a1)) (sqrt.f64 #s(literal 2 binary64))) #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)) (neg.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)) (sqrt.f64 #s(literal 2 binary64))) #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 (cos.f64 th) (*.f64 (neg.f64 a1) a1)) (sqrt.f64 #s(literal 2 binary64))) #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 (neg.f64 (neg.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 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)) (sqrt.f64 #s(literal 2 binary64))))
(+.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 (cos.f64 th) a2) a2) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 th) a2) a2))
(*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2))
(neg.f64 (*.f64 (*.f64 (cos.f64 th) a2) 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
(*.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)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 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))
(fabs.f64 (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 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 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (cos.f64 th) (neg.f64 a1)) a1)
(*.f64 (*.f64 (neg.f64 a1) a1) (cos.f64 th))
(*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 a1 a1) (cos.f64 th)))
(*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1))
(neg.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)))
(*.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) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #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))) #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))) #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 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.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))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))))
(/.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 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a2 a2))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (fma.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 a2 a2) (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1))) (fma.f64 (*.f64 a2 a2) (*.f64 a2 a2) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (fma.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1) (*.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2))) (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 (neg.f64 (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 (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 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a1)) (*.f64 a2 a2))
(fma.f64 (fabs.f64 (fabs.f64 a2)) (fabs.f64 (fabs.f64 a2)) (*.f64 a1 a1))
(fma.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)) (*.f64 a1 a1))
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(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (neg.f64 a1) a1) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 th) a2) a2) (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) 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 (*.f64 (*.f64 (cos.f64 th) a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.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)) (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)
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.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 (*.f64 (cos.f64 th) a2) a2) (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 (*.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 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#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) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (fma.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (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)))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)))
#s(approx (/ a1 a2) (/.f64 a1 a2))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))))
#s(approx (* (sqrt 2) (* (cos th) (* (neg a1) a1))) (*.f64 (*.f64 (neg.f64 a1) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 (*.f64 a1 a1) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))) (*.f64 a1 a1)))
#s(approx (+ (* (* (cos th) (* (neg a2) a2)) (neg (sqrt 2))) (* (neg (sqrt 2)) (* (cos th) (* (neg a1) a1)))) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#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) a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 a1 a1)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (*.f64 (fma.f64 a2 (/.f64 (cos.f64 th) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) (*.f64 a1 a1)))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (*.f64 (+.f64 (/.f64 (cos.f64 th) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a1 a1)))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)) (*.f64 a1 a1))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 (*.f64 (neg.f64 a1) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (*.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 (/ (* (* (cos th) a2) a2) (sqrt 2)) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (cos th) a2) a2) (*.f64 (*.f64 (cos.f64 th) a2) a2))
#s(approx (* (cos th) a2) (*.f64 (cos.f64 th) a2))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) a2))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 a2 a2)))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.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 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 a2 a2))) (*.f64 a2 a2)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.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 (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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) 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)))) a2))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.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) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (neg.f64 a1) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 a2 a2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (*.f64 a2 a2)))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (*.f64 (neg.f64 a2) (+.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.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) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (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) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (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 #s(literal -1/2 binary64) (*.f64 th th) #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 #s(literal -1/2 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 1/24 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 #s(literal -1/2 binary64) (*.f64 a1 a1)) (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) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (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) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (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) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 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 (/ (* (* (cos th) a2) a2) (sqrt 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* (* (cos th) a2) a2) (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) a2) a2) (sqrt 2)) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a2 th) (*.f64 a2 th)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (/.f64 (*.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) a2) a2) (sqrt 2)) (fma.f64 (fma.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))) (*.f64 th th) (/.f64 (*.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) a2) a2) (*.f64 a2 a2))
#s(approx (* (* (cos th) a2) a2) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)) (*.f64 th th) (*.f64 a2 a2)))
#s(approx (* (* (cos th) a2) a2) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a2 a2)) (*.f64 th th) (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2))) (*.f64 a2 a2)))
#s(approx (* (* (cos th) a2) a2) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 a2 a2)) (*.f64 th th) (*.f64 #s(literal 1/24 binary64) (*.f64 a2 a2))) (*.f64 th th) (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2))) (*.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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 th th) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 th th) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) #s(literal -1/2 binary64))) (*.f64 th th) (*.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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 th th) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/720 binary64) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) #s(literal 1/24 binary64))) (*.f64 th th) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) #s(literal -1/2 binary64))) (*.f64 th th) (*.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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 th th) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 th th) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 th th) (/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 th th) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/720 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64))) (*.f64 th th) (*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 th th) (/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (fma.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/24 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/720 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (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 (/.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) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (+.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (fma.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th)))) (*.f64 th th) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (fma.f64 (fma.f64 (+.f64 (neg.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (*.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) (neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 th th) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 2 binary64)))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 (*.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) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 th th))) (*.f64 th th))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64) (*.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 (* (sqrt 2) (* (cos th) (* (neg a1) a1))) (*.f64 (*.f64 (neg.f64 a1) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt 2) (* (cos th) (* (neg a1) a1))) (fma.f64 (*.f64 (*.f64 a1 a1) #s(literal 1/2 binary64)) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 a1) a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (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 (neg.f64 a1) a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (sqrt 2) (* (cos th) (* (neg a1) a1))) (fma.f64 (fma.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 (*.f64 (*.f64 a1 a1) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (*.f64 (*.f64 (neg.f64 a1) a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (*.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))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (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) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal 2 binary64))))

eval58.0ms (1.1%)

Memory
24.1MiB live, 116.2MiB allocated; 7ms collecting garbage
Compiler

Compiled 6 594 to 2 146 computations (67.5% saved)

prune34.0ms (0.7%)

Memory
14.5MiB live, 67.7MiB allocated; 5ms collecting garbage
Pruning

34 alts after pruning (32 fresh and 2 done)

PrunedKeptTotal
New50729536
Fresh538
Picked325
Done000
Total51534549
Accuracy
100.0%
Counts
549 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.7%
(/.f64 (fma.f64 #s(approx (* (cos th) (* (neg a2) a2)) (*.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))
66.6%
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
66.7%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
14.7%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
99.3%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
14.7%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 (*.f64 a1 a1) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
66.7%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
99.3%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
28.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
66.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (pow.f64 (exp.f64 (log.f64 a1)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
66.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
66.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
66.8%
#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))))
12.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
99.3%
#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))))
14.7%
#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))))
60.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
99.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
66.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (* (cos th) a2) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
13.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
27.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* (cos th) a2) a2) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)) (*.f64 th th) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
99.2%
#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))) (*.f64 a2 a2)))
99.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
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) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))) a2) a2))
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))
62.6%
#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 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))
60.3%
#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 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))
66.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))
66.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
14.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) a2))
99.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
66.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
44.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (* (* (cos th) a2) a2) (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))))))
Compiler

Compiled 1 819 to 1 502 computations (17.4% saved)

series43.0ms (0.8%)

Memory
-18.2MiB live, 75.2MiB allocated; 6ms collecting garbage
Counts
36 → 142
Calls
Call 1
Inputs
#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) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))) a2) a2))
(*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))) a2) a2)
(*.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))) a2)
(*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))
(/.f64 a1 a2)
a1
a2
#s(literal 1 binary64)
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(cos.f64 th)
th
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))
(*.f64 a1 a1)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
(*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2) (sqrt.f64 #s(literal 2 binary64)))) a2)
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2)
#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))))
(/.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)))
(/.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 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)))
(*.f64 (*.f64 a2 a2) (*.f64 a2 a2))
(*.f64 a2 a2)
(*.f64 (*.f64 a1 a1) (*.f64 a1 a1))
(-.f64 (*.f64 a2 a2) (*.f64 a1 a1))
#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))) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) a2) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) a2) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) #s(hole binary64 (/ (* a2 (cos th)) (sqrt 2))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) #s(hole binary64 (+ (/ (* a2 (cos th)) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* a2 (sqrt 2))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) #s(hole binary64 (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 (+ 1 (/ (pow a1 2) (pow a2 2)))))
#s(approx (/ a1 a2) #s(hole binary64 (/ a1 a2)))
#s(approx a1 #s(hole binary64 a1))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (/ (* a2 (cos th)) (sqrt 2))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (+ (/ (* a2 (cos th)) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* a2 (sqrt 2))))))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) #s(hole binary64 (/ a2 (sqrt 2))))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) #s(hole binary64 (+ (/ a2 (sqrt 2)) (/ (pow a1 2) (* a2 (sqrt 2))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) #s(hole binary64 a2))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) #s(hole binary64 (+ a2 (/ (pow a1 2) a2))))
#s(approx (/ (/ (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* a2 a2) (* a1 a1))) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (/ (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* a2 a2) (* a1 a1))) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* a2 a2) (* a1 a1))) #s(hole binary64 (pow a2 2)))
#s(approx (/ (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) #s(hole binary64 (pow a2 4)))
#s(approx (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) #s(hole binary64 (+ (* -1 (pow a1 4)) (pow a2 4))))
#s(approx (* (* a1 a1) (* a1 a1)) #s(hole binary64 (pow a1 4)))
#s(approx (- (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a2 2)))
#s(approx (- (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (* -1 (pow a1 2)) (pow a2 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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) a2) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (* a2 (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (* a2 (sqrt 2))) (/ (* a2 (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (* (pow a1 2) (sqrt 2))) (/ (cos th) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 (/ (pow a1 2) (pow a2 2))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* 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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (* a2 (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (* a2 (sqrt 2))) (/ (* a2 (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (* a2 (sqrt 2)))))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (* a2 (sqrt 2))) (/ a2 (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) #s(hole binary64 (/ (pow a1 2) a2)))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) #s(hole binary64 (* (pow a1 2) (+ (/ 1 a2) (/ a2 (pow a1 2))))))
#s(approx (/ (/ (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* a2 a2) (* a1 a1))) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (/ (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* 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) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* a2 a2) (* a1 a1))) #s(hole binary64 (pow a1 2)))
#s(approx (/ (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) #s(hole binary64 (* -1 (pow a1 4))))
#s(approx (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) #s(hole binary64 (* (pow a1 4) (- (/ (pow a2 4) (pow a1 4)) 1))))
#s(approx (- (* a2 a2) (* a1 a1)) #s(hole binary64 (* -1 (pow a1 2))))
#s(approx (- (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) #s(hole binary64 (/ (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) a2)))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) #s(hole binary64 (/ (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (pow a2 2))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (pow a2 2))))
#s(approx a2 #s(hole binary64 a2))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (/ (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) a2)))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) #s(hole binary64 (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) a2)))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) a2)))
#s(approx (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) #s(hole binary64 (- (pow a2 4) (pow a1 4))))
#s(approx (* (* a2 a2) (* a2 a2)) #s(hole binary64 (pow a2 4)))
#s(approx (* a2 a2) #s(hole binary64 (pow a2 2)))
#s(approx (- (* a2 a2) (* a1 a1)) #s(hole binary64 (- (pow a2 2) (pow a1 2))))
#s(approx (* (/ (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 a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) #s(hole binary64 (* a2 (+ (/ (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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (* a2 (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) #s(hole binary64 (* a2 (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) #s(hole binary64 (* a2 (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (/ (/ (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* 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) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) #s(hole binary64 (* (pow a2 4) (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))))))
#s(approx (- (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) #s(hole binary64 (* -1 (* a2 (+ (* -1 (/ (cos th) (sqrt 2))) (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (* -1 (* a2 (+ (* -1 (/ (cos th) (sqrt 2))) (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) #s(hole binary64 (* -1 (* a2 (- (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (/ 1 (sqrt 2)))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) #s(hole binary64 (* -1 (* a2 (- (* -1 (/ (pow a1 2) (pow a2 2))) 1)))))
#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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) a2) #s(hole binary64 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) a2) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) #s(hole binary64 (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) #s(hole binary64 (+ (* -1/2 (/ (* a2 (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* 1/24 (/ (* a2 (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))) (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* a2 (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (* 1/24 (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))))) (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) #s(hole binary64 (/ (+ 1 (/ (pow a1 2) (pow a2 2))) (sqrt 2))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ 1 (/ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ 1 (/ (pow a1 2) (pow a2 2))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* 1/24 (/ (+ 1 (/ (pow a1 2) (pow a2 2))) (sqrt 2))))))) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) #s(hole binary64 (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (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 (sqrt 2)) (sqrt (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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (+ (* -1/2 (/ (* a2 (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* 1/24 (/ (* a2 (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))) (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* a2 (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (* 1/24 (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))))) (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#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 (/ 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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) a2) #s(hole binary64 (/ (* (pow a2 2) (* (cos th) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) #s(hole binary64 (/ (* a2 (* (cos th) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) #s(hole binary64 (/ (* (cos th) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))
#s(approx (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (/ (* (pow a2 2) (* (cos th) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (/ (* a2 (* (cos th) (+ 1 (/ (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
6.0ms
a1
@0
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) a1 a2 1 (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) (cos th) th (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)) (sqrt 2) 2 (+ (* (/ (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))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (/ (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* a2 a2) (* a1 a1))) (sqrt 2)) (/ (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* a2 a2) (* a1 a1))) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (* (* a2 a2) (* a2 a2)) (* a2 a2) (* (* a1 a1) (* a1 a1)) (- (* a2 a2) (* a1 a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/ (cos th) (sqrt 2)))
6.0ms
a2
@-inf
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) a1 a2 1 (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) (cos th) th (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)) (sqrt 2) 2 (+ (* (/ (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))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (/ (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* a2 a2) (* a1 a1))) (sqrt 2)) (/ (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* a2 a2) (* a1 a1))) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (* (* a2 a2) (* a2 a2)) (* a2 a2) (* (* a1 a1) (* a1 a1)) (- (* a2 a2) (* a1 a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/ (cos th) (sqrt 2)))
5.0ms
a1
@inf
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) a1 a2 1 (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) (cos th) th (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)) (sqrt 2) 2 (+ (* (/ (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))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (/ (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* a2 a2) (* a1 a1))) (sqrt 2)) (/ (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* a2 a2) (* a1 a1))) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (* (* a2 a2) (* a2 a2)) (* a2 a2) (* (* a1 a1) (* a1 a1)) (- (* a2 a2) (* a1 a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/ (cos th) (sqrt 2)))
5.0ms
a2
@inf
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) a1 a2 1 (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) (cos th) th (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)) (sqrt 2) 2 (+ (* (/ (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))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (/ (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* a2 a2) (* a1 a1))) (sqrt 2)) (/ (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* a2 a2) (* a1 a1))) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (* (* a2 a2) (* a2 a2)) (* a2 a2) (* (* a1 a1) (* a1 a1)) (- (* a2 a2) (* a1 a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/ (cos th) (sqrt 2)))
5.0ms
a2
@0
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) a1 a2 1 (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) (cos th) th (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)) (sqrt 2) 2 (+ (* (/ (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))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (/ (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* a2 a2) (* a1 a1))) (sqrt 2)) (/ (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* a2 a2) (* a1 a1))) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (* (* a2 a2) (* a2 a2)) (* a2 a2) (* (* a1 a1) (* a1 a1)) (- (* a2 a2) (* a1 a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/ (cos th) (sqrt 2)))

rewrite239.0ms (4.6%)

Memory
1.6MiB live, 188.2MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04395340
04914366
123344239
081164103
Stop Event
iter-limit
node-limit
iter-limit
Counts
178 → 522
Calls
Call 1
Inputs
#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) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))) a2) a2))
(*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))) a2) a2)
(*.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))) a2)
(*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))
(/.f64 a1 a2)
a1
a2
#s(literal 1 binary64)
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(cos.f64 th)
th
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))
(*.f64 a1 a1)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
(*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2) (sqrt.f64 #s(literal 2 binary64)))) a2)
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2)
#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))))
(/.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)))
(/.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 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)))
(*.f64 (*.f64 a2 a2) (*.f64 a2 a2))
(*.f64 a2 a2)
(*.f64 (*.f64 a1 a1) (*.f64 a1 a1))
(-.f64 (*.f64 a2 a2) (*.f64 a1 a1))
#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))) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) a2) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) a2) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) #s(hole binary64 (/ (* a2 (cos th)) (sqrt 2))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) #s(hole binary64 (+ (/ (* a2 (cos th)) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* a2 (sqrt 2))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) #s(hole binary64 (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 (+ 1 (/ (pow a1 2) (pow a2 2)))))
#s(approx (/ a1 a2) #s(hole binary64 (/ a1 a2)))
#s(approx a1 #s(hole binary64 a1))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (/ (* a2 (cos th)) (sqrt 2))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (+ (/ (* a2 (cos th)) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* a2 (sqrt 2))))))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) #s(hole binary64 (/ a2 (sqrt 2))))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) #s(hole binary64 (+ (/ a2 (sqrt 2)) (/ (pow a1 2) (* a2 (sqrt 2))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) #s(hole binary64 a2))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) #s(hole binary64 (+ a2 (/ (pow a1 2) a2))))
#s(approx (/ (/ (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* a2 a2) (* a1 a1))) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (/ (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* a2 a2) (* a1 a1))) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* a2 a2) (* a1 a1))) #s(hole binary64 (pow a2 2)))
#s(approx (/ (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) #s(hole binary64 (pow a2 4)))
#s(approx (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) #s(hole binary64 (+ (* -1 (pow a1 4)) (pow a2 4))))
#s(approx (* (* a1 a1) (* a1 a1)) #s(hole binary64 (pow a1 4)))
#s(approx (- (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a2 2)))
#s(approx (- (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (* -1 (pow a1 2)) (pow a2 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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) a2) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (* a2 (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (* a2 (sqrt 2))) (/ (* a2 (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (* (pow a1 2) (sqrt 2))) (/ (cos th) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 (/ (pow a1 2) (pow a2 2))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* 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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (* a2 (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (* a2 (sqrt 2))) (/ (* a2 (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (* a2 (sqrt 2)))))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (* a2 (sqrt 2))) (/ a2 (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) #s(hole binary64 (/ (pow a1 2) a2)))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) #s(hole binary64 (* (pow a1 2) (+ (/ 1 a2) (/ a2 (pow a1 2))))))
#s(approx (/ (/ (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* a2 a2) (* a1 a1))) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (/ (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* 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) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* a2 a2) (* a1 a1))) #s(hole binary64 (pow a1 2)))
#s(approx (/ (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) #s(hole binary64 (* -1 (pow a1 4))))
#s(approx (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) #s(hole binary64 (* (pow a1 4) (- (/ (pow a2 4) (pow a1 4)) 1))))
#s(approx (- (* a2 a2) (* a1 a1)) #s(hole binary64 (* -1 (pow a1 2))))
#s(approx (- (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) #s(hole binary64 (/ (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) a2)))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) #s(hole binary64 (/ (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (pow a2 2))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (pow a2 2))))
#s(approx a2 #s(hole binary64 a2))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (/ (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) a2)))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) #s(hole binary64 (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) a2)))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) a2)))
#s(approx (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) #s(hole binary64 (- (pow a2 4) (pow a1 4))))
#s(approx (* (* a2 a2) (* a2 a2)) #s(hole binary64 (pow a2 4)))
#s(approx (* a2 a2) #s(hole binary64 (pow a2 2)))
#s(approx (- (* a2 a2) (* a1 a1)) #s(hole binary64 (- (pow a2 2) (pow a1 2))))
#s(approx (* (/ (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 a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) #s(hole binary64 (* a2 (+ (/ (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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (* a2 (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) #s(hole binary64 (* a2 (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) #s(hole binary64 (* a2 (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (/ (/ (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* 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) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (- (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) #s(hole binary64 (* (pow a2 4) (+ 1 (* -1 (/ (pow a1 4) (pow a2 4)))))))
#s(approx (- (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) #s(hole binary64 (* -1 (* a2 (+ (* -1 (/ (cos th) (sqrt 2))) (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (* -1 (* a2 (+ (* -1 (/ (cos th) (sqrt 2))) (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) #s(hole binary64 (* -1 (* a2 (- (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (/ 1 (sqrt 2)))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) #s(hole binary64 (* -1 (* a2 (- (* -1 (/ (pow a1 2) (pow a2 2))) 1)))))
#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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) a2) #s(hole binary64 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) a2) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) #s(hole binary64 (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) #s(hole binary64 (+ (* -1/2 (/ (* a2 (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* 1/24 (/ (* a2 (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))) (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* a2 (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (* 1/24 (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))))) (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) #s(hole binary64 (/ (+ 1 (/ (pow a1 2) (pow a2 2))) (sqrt 2))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ 1 (/ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ 1 (/ (pow a1 2) (pow a2 2))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* 1/24 (/ (+ 1 (/ (pow a1 2) (pow a2 2))) (sqrt 2))))))) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) #s(hole binary64 (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (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 (sqrt 2)) (sqrt (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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (+ (* -1/2 (/ (* a2 (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* 1/24 (/ (* a2 (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))) (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* a2 (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (* 1/24 (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))))) (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#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 (/ 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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) a2) #s(hole binary64 (/ (* (pow a2 2) (* (cos th) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) #s(hole binary64 (/ (* a2 (* (cos th) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) #s(hole binary64 (/ (* (cos th) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))
#s(approx (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (/ (* (pow a2 2) (* (cos th) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (/ (* a2 (* (cos th) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ (cos th) (sqrt 2))))
Outputs
#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))
(*.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 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)
(*.f64 a2 (*.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))
(*.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (cos.f64 th)) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 a2 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (cos.f64 th)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 a2 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 a2 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (cos.f64 th)) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 a2 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (cos.f64 th)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.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)
(*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2))
(*.f64 a2 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 a2 (cos.f64 th)) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 a2 (cos.f64 th)) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (cos.f64 th)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64))) (neg.f64 (cos.f64 th))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64))) (cos.f64 th)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (-.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 (cos.f64 th))) (*.f64 (-.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1 binary64)) (cos.f64 th)) (*.f64 (-.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64))) (neg.f64 (cos.f64 th))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64))) (cos.f64 th)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64)) #s(literal 1 binary64)) (neg.f64 (cos.f64 th))) (*.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64)) #s(literal 1 binary64)) (cos.f64 th)) (*.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64)))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64))))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64))))))
(/.f64 (*.f64 (cos.f64 th) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a2 a2 (*.f64 a1 a1)))) (neg.f64 (neg.f64 (*.f64 a2 a2))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64))))))
(/.f64 (fma.f64 (*.f64 a1 (/.f64 a1 a2)) (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) a2)) (*.f64 (*.f64 a2 a2) a2))
(/.f64 (fma.f64 (*.f64 (/.f64 a1 a2) a1) (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) a2)) (*.f64 (*.f64 a2 a2) a2))
(/.f64 (fma.f64 (neg.f64 (*.f64 a1 a1)) (*.f64 a2 a2) (*.f64 (neg.f64 (*.f64 a2 a2)) (*.f64 a2 a2))) (*.f64 (neg.f64 (*.f64 a2 a2)) (*.f64 a2 a2)))
(/.f64 (fma.f64 (*.f64 a1 a1) (*.f64 a2 a2) (*.f64 (*.f64 (*.f64 a2 a2) a2) a2)) (*.f64 (*.f64 (*.f64 a2 a2) a2) a2))
(/.f64 (fma.f64 (*.f64 a1 (/.f64 a1 a2)) #s(literal 2 binary64) (*.f64 a2 #s(literal 2 binary64))) (*.f64 a2 #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64) (*.f64 a2 #s(literal 2 binary64))) (*.f64 a2 #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (*.f64 a1 a1)) #s(literal 2 binary64) (*.f64 (neg.f64 (*.f64 a2 a2)) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 a2 a2)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 a1 a1) #s(literal 2 binary64) (*.f64 (*.f64 a2 a2) #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) a2 (*.f64 #s(literal 2 binary64) (*.f64 a1 (/.f64 a1 a2)))) (*.f64 #s(literal 2 binary64) a2))
(/.f64 (fma.f64 #s(literal 2 binary64) a2 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 a1 a2) a1))) (*.f64 #s(literal 2 binary64) a2))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 (*.f64 a2 a2)) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 a1 a1)))) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 a2 a2))))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a2 a2) (*.f64 #s(literal 2 binary64) (*.f64 a1 a1))) (*.f64 #s(literal 2 binary64) (*.f64 a2 a2)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 a2 a2 (*.f64 a1 a1))) (neg.f64 (*.f64 a2 a2)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 a2 a2))
(fma.f64 (/.f64 (neg.f64 a1) (fabs.f64 a2)) (/.f64 (neg.f64 a1) (fabs.f64 a2)) #s(literal 1 binary64))
(fma.f64 (/.f64 (fabs.f64 a1) (neg.f64 a2)) (/.f64 (fabs.f64 a1) (neg.f64 a2)) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 a1) a2) (/.f64 (neg.f64 a1) a2) #s(literal 1 binary64))
(fma.f64 (/.f64 (fabs.f64 a1) a2) (/.f64 (fabs.f64 a1) a2) #s(literal 1 binary64))
(fma.f64 (/.f64 a1 (neg.f64 a2)) (/.f64 a1 (neg.f64 a2)) #s(literal 1 binary64))
(fma.f64 (/.f64 a1 (fabs.f64 a2)) (/.f64 a1 (fabs.f64 a2)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 (/.f64 a1 a2))) (neg.f64 (neg.f64 (/.f64 a1 a2))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 (/.f64 a1 a2))) (neg.f64 (fabs.f64 (/.f64 a1 a2))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 (/.f64 a1 a2))) (fabs.f64 (fabs.f64 (/.f64 a1 a2))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 a1 a2) #s(literal 1 binary64)) (pow.f64 (/.f64 a1 a2) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 a1 a2) #s(literal 1 binary64))
(fma.f64 (neg.f64 (/.f64 a1 a2)) (neg.f64 (/.f64 a1 a2)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (/.f64 a1 a2)) (fabs.f64 (/.f64 a1 a2)) #s(literal 1 binary64))
(fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 a2 a2)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 a2 a2)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (/.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(-.f64 (/.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a1) a1) (*.f64 a2 a2)))
(+.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a2)))
(/.f64 (neg.f64 a1) (neg.f64 a2))
(/.f64 a1 a2)
a1
a2
#s(literal 1 binary64)
(/.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (sqrt.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 (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.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)))
(sin.f64 (+.f64 (neg.f64 th) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 th (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 th) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 th) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 th)))
(cos.f64 (neg.f64 th))
(cos.f64 th)
(+.f64 (*.f64 (sin.f64 th) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
th
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #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))))
(/.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))
(fabs.f64 (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #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))))
(/.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))
(fabs.f64 (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #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 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.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))
(sqrt.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1))
(fabs.f64 (neg.f64 (*.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))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) a2))
(*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) a2)
(*.f64 a2 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 a2 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 a2 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 a2 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 a2 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2)
(*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a2 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64))) (neg.f64 a2)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64))) a2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 a2)) (*.f64 (-.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1 binary64)) a2) (*.f64 (-.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64))) (neg.f64 a2)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64))) a2) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64)) #s(literal 1 binary64)) (neg.f64 a2)) (*.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64)) #s(literal 1 binary64)) a2) (*.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
(fma.f64 a2 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a2) (*.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
(+.f64 (*.f64 a2 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2)
(*.f64 a2 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) a2 (*.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) a2))
(fma.f64 a2 #s(literal 1 binary64) (*.f64 a2 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(+.f64 (*.f64 #s(literal 1 binary64) a2) (*.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) a2))
(+.f64 (*.f64 a2 #s(literal 1 binary64)) (*.f64 a2 (/.f64 (*.f64 a1 a1) (*.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))))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))))
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(fma.f64 (*.f64 (*.f64 a2 a2) a2) a2 (*.f64 (neg.f64 (*.f64 a1 a1)) (*.f64 a1 a1)))
(fma.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (*.f64 a2 a2)) (*.f64 (neg.f64 (*.f64 a1 a1)) (*.f64 a1 a1)))
(fma.f64 (*.f64 a2 a2) (*.f64 a2 a2) (*.f64 (neg.f64 (*.f64 a1 a1)) (*.f64 a1 a1)))
(fma.f64 a2 (*.f64 (*.f64 a2 a2) a2) (*.f64 (neg.f64 (*.f64 a1 a1)) (*.f64 a1 a1)))
(-.f64 (/.f64 (pow.f64 a2 #s(literal 8 binary64)) (fma.f64 (*.f64 (*.f64 a2 a2) a2) a2 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1))) (/.f64 (pow.f64 a1 #s(literal 8 binary64)) (fma.f64 (*.f64 (*.f64 a2 a2) a2) a2 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1))))
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(-.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) (*.f64 (*.f64 (*.f64 a1 a1) a1) a1))
(+.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) (*.f64 (neg.f64 (*.f64 a1 a1)) (*.f64 a1 a1)))
(*.f64 (neg.f64 (neg.f64 (*.f64 a2 a2))) (neg.f64 (neg.f64 (*.f64 a2 a2))))
(*.f64 (*.f64 (*.f64 a2 a2) a2) a2)
(*.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (*.f64 a2 a2)))
(*.f64 (*.f64 a2 a2) (*.f64 a2 a2))
(*.f64 a2 (*.f64 (*.f64 a2 a2) a2))
(pow.f64 (exp.f64 (log.f64 a2)) #s(literal 4 binary64))
(pow.f64 (neg.f64 (*.f64 a2 a2)) #s(literal 2 binary64))
(pow.f64 (*.f64 a2 a2) #s(literal 2 binary64))
(pow.f64 a2 #s(literal 4 binary64))
(fabs.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2))
(exp.f64 (fma.f64 (log.f64 a2) #s(literal 2 binary64) (*.f64 (log.f64 a2) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 a2)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 a2) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a2) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 a2) #s(literal 4 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))
(sqrt.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2))
(fabs.f64 (neg.f64 (*.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))))
(*.f64 (neg.f64 (neg.f64 (*.f64 a1 a1))) (neg.f64 (neg.f64 (*.f64 a1 a1))))
(*.f64 (*.f64 (*.f64 a1 a1) a1) a1)
(*.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (*.f64 a1 a1)))
(*.f64 (*.f64 a1 a1) (*.f64 a1 a1))
(*.f64 a1 (*.f64 (*.f64 a1 a1) a1))
(pow.f64 (exp.f64 (log.f64 a1)) #s(literal 4 binary64))
(pow.f64 (neg.f64 (*.f64 a1 a1)) #s(literal 2 binary64))
(pow.f64 (*.f64 a1 a1) #s(literal 2 binary64))
(pow.f64 a1 #s(literal 4 binary64))
(fabs.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1))
(exp.f64 (fma.f64 (log.f64 a1) #s(literal 2 binary64) (*.f64 (log.f64 a1) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 a1)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 a1) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a1) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 a1) #s(literal 4 binary64))))
(*.f64 (+.f64 a2 a1) (-.f64 a2 a1))
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2)) (*.f64 (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 a1 a1) a1))) (fma.f64 (*.f64 (*.f64 a2 a2) a2) a2 (fma.f64 (*.f64 (*.f64 a1 a1) a1) a1 (*.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (neg.f64 (fma.f64 a2 a2 (*.f64 a1 a1))))
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(fma.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a2)) (*.f64 (neg.f64 a1) a1))
(fma.f64 (neg.f64 (fabs.f64 a2)) (neg.f64 (fabs.f64 a2)) (*.f64 (neg.f64 a1) a1))
(fma.f64 (fabs.f64 (fabs.f64 a2)) (fabs.f64 (fabs.f64 a2)) (*.f64 (neg.f64 a1) a1))
(fma.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)) (*.f64 (neg.f64 a1) a1))
(fma.f64 (neg.f64 a2) (neg.f64 a2) (*.f64 (neg.f64 a1) a1))
(fma.f64 (fabs.f64 a2) (fabs.f64 a2) (*.f64 (neg.f64 a1) a1))
(fma.f64 a2 a2 (*.f64 (neg.f64 a1) a1))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2)) (fma.f64 (*.f64 (*.f64 a2 a2) a2) a2 (fma.f64 (*.f64 (*.f64 a1 a1) a1) a1 (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 a1 a1) a1)) (fma.f64 (*.f64 (*.f64 a2 a2) a2) a2 (fma.f64 (*.f64 (*.f64 a1 a1) a1) a1 (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) (fma.f64 a2 a2 (*.f64 a1 a1))) (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1) (fma.f64 a2 a2 (*.f64 a1 a1))))
(-.f64 (*.f64 a2 a2) (*.f64 a1 a1))
(+.f64 (*.f64 a2 a2) (*.f64 (neg.f64 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))
(*.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.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 (neg.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (sqrt.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 (/.f64 (cos.f64 th) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.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 (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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (/.f64 (fma.f64 a2 (cos.f64 th) (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (/.f64 (fma.f64 (/.f64 (cos.f64 th) a2) (/.f64 (*.f64 a1 a1) a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)))
#s(approx (/ a1 a2) (/.f64 a1 a2))
#s(approx a1 a1)
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
#s(approx (+ (* a2 a2) (* a1 a1)) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (* a1 a1) (*.f64 a1 a1))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (/.f64 (fma.f64 a2 (cos.f64 th) (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (/.f64 (+.f64 (/.f64 (*.f64 a1 a1) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2)
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (+.f64 (/.f64 (*.f64 a1 a1) 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 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 (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (*.f64 (*.f64 (*.f64 a2 a2) a2) a2))
#s(approx (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (fma.f64 (*.f64 (*.f64 a2 a2) a2) a2 (neg.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1))))
#s(approx (* (* a1 a1) (* a1 a1)) (*.f64 (*.f64 (*.f64 a1 a1) a1) a1))
#s(approx (- (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
#s(approx (- (* a2 a2) (* a1 a1)) (fma.f64 a2 a2 (neg.f64 (*.f64 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))) a1) a1))
#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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 (cos.f64 th) a1) (/.f64 (cos.f64 th) a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (*.f64 (/.f64 (+.f64 (/.f64 (cos.f64 th) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)) (*.f64 a1 a1))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 (cos.f64 th) a1) (/.f64 (cos.f64 th) a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (/.f64 (*.f64 a1 a1) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 a2 (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (/.f64 (*.f64 a1 a1) a2))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (*.f64 (+.f64 (/.f64 a2 (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) a2)) (*.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 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (neg.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1)))
#s(approx (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) (*.f64 (*.f64 (*.f64 a1 a1) a1) a1)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a1 a1) a1) a1)))
#s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1)))
#s(approx (- (* a2 a2) (* a1 a1)) (*.f64 (-.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) a2))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 a2 a2)))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)))
#s(approx a2 a2)
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) a2))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (/.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) a2))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) a2))
#s(approx (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
#s(approx (* (* a2 a2) (* a2 a2)) (*.f64 (*.f64 (*.f64 a2 a2) a2) a2))
#s(approx (* a2 a2) (*.f64 a2 a2))
#s(approx (- (* a2 a2) (* a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))
#s(approx (* (/ (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 (fma.f64 (/.f64 (cos.f64 th) a2) (/.f64 (*.f64 a1 a1) a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (*.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 th) a2) (/.f64 (*.f64 a1 a1) a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (*.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 th) a2) (/.f64 (*.f64 a1 a1) a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) 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 (*.f64 a2 a2) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (*.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 th) a2) (/.f64 (*.f64 a1 a1) a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (*.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 th) a2) (/.f64 (*.f64 a1 a1) a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) a2))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) 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 (*.f64 a2 a2) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))))
#s(approx (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (*.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a2 a2) a2) a2)))
#s(approx (- (* a2 a2) (* a1 a1)) (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1 binary64)) (*.f64 a2 a2)))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (cos.f64 th) a2) (/.f64 (*.f64 a1 a1) a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) a2)))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (cos.f64 th) a2) (/.f64 (*.f64 a1 a1) a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) a2)))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.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)))) a2)))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1 binary64)) 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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 th th) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) (*.f64 a2 a2)) (*.f64 (*.f64 a2 a2) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 th th) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) (*.f64 a2 a2)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a2 a2) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (*.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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a2 a2) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) (*.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 (*.f64 th th) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) #s(literal -1/2 binary64))) (*.f64 th th) (*.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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 th th) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) a2) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 th th) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) a2) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 (*.f64 th th) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) a2) (*.f64 #s(literal 1/24 binary64) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (*.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 th th) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 th th) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 th th) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) (*.f64 #s(literal 1/24 binary64) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (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 (sqrt 2)) (sqrt (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 (sqrt 2)) (sqrt (sqrt 2)))) (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (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 (-.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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 th th) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) (*.f64 a2 a2)) (*.f64 (*.f64 a2 a2) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 th th) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) (*.f64 a2 a2)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a2 a2) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (*.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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a2 a2) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) (*.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 (*.f64 th th) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) #s(literal -1/2 binary64))) (*.f64 th th) (*.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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 th th) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) a2) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 th th) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) a2) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 (*.f64 th th) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) a2) (*.f64 #s(literal 1/24 binary64) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (*.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#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 #s(literal -1/2 binary64) (*.f64 (*.f64 a2 th) (*.f64 a2 th)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a2 th) (*.f64 a2 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 (fma.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 a2 th) (*.f64 a2 th)) (*.f64 #s(literal 1/24 binary64) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (*.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 (sqrt 2)) (sqrt (sqrt 2)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (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 (sqrt 2)) (sqrt (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 (sqrt 2)) (sqrt (sqrt 2)))) (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (*.f64 (*.f64 a2 a2) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (*.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))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (cos th) (cos.f64 th))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (*.f64 (*.f64 a2 a2) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (*.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))
#s(approx (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))

eval77.0ms (1.5%)

Memory
7.4MiB live, 104.8MiB allocated; 11ms collecting garbage
Compiler

Compiled 7 912 to 3 232 computations (59.2% saved)

prune73.0ms (1.4%)

Memory
-12.2MiB live, 82.2MiB allocated; 3ms collecting garbage
Pruning

44 alts after pruning (40 fresh and 4 done)

PrunedKeptTotal
New61422636
Fresh91827
Picked325
Done022
Total62644670
Accuracy
100.0%
Counts
670 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.7%
(/.f64 (fma.f64 #s(approx (* (cos th) (* (neg a2) a2)) (*.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))
66.6%
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
66.7%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
14.7%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
99.3%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
14.7%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 (*.f64 a1 a1) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
66.7%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
99.3%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
66.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a2 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 a2 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
28.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
66.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
12.8%
#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))) #s(approx (- (* a2 a2) (* a1 a1)) (*.f64 a2 a2))) (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 (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (*.f64 (*.f64 (*.f64 a2 a2) a2) a2)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
12.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64)))))
99.3%
#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))))
14.7%
#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))))
60.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
99.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
66.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (* (cos th) a2) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
13.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (pow.f64 (exp.f64 (log.f64 a1)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
13.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
16.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (sqrt.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1))) (sqrt.f64 #s(literal 2 binary64))))
13.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
99.2%
#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))) (*.f64 a2 a2)))
60.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.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)))
66.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
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))
62.6%
#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 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))
60.4%
#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 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))) a2) a2))
60.3%
#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 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))
66.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))
14.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) a2))
99.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) a2))
66.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) a2))
3.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
56.6%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)) (*.f64 a1 a1)))) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
13.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (/.f64 (*.f64 a1 a1) a2)) (sqrt.f64 #s(literal 2 binary64)))) a2))
66.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
13.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (/.f64 (*.f64 a1 a1) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))) a2))
39.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 a2 (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))) a2))
40.0%
#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 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
44.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a2 th) (*.f64 a2 th)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
Compiler

Compiled 2 545 to 2 026 computations (20.4% saved)

series62.0ms (1.2%)

Memory
22.6MiB live, 69.6MiB allocated; 2ms collecting garbage
Counts
32 → 126
Calls
Call 1
Inputs
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(cos.f64 th)
th
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 a1 a1 (*.f64 a2 a2))
a1
(*.f64 a2 a2)
a2
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
(*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2) (sqrt.f64 #s(literal 2 binary64)))) a2)
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 a2 a2 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a2 a2 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 a1 a1))
(*.f64 a1 a1)
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(literal -1 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.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))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2)
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2)
Outputs
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx a1 #s(hole binary64 a1))
#s(approx (+ (* (/ (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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (/ (* a2 (cos th)) (sqrt 2))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (+ (/ (* a2 (cos th)) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* a2 (sqrt 2))))))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) #s(hole binary64 (/ a2 (sqrt 2))))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) #s(hole binary64 (+ (/ a2 (sqrt 2)) (/ (pow a1 2) (* a2 (sqrt 2))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) #s(hole binary64 a2))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) #s(hole binary64 (+ a2 (/ (pow a1 2) a2))))
#s(approx (/ (+ (* a2 a2) (/ 1 (/ 1 (* a1 a1)))) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (/ 1 (/ 1 (* a1 a1)))) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* a2 a2) (/ 1 (/ 1 (* a1 a1)))) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a2 a2) (/ 1 (/ 1 (* a1 a1)))) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (/ 1 (/ 1 (* a1 a1))) #s(hole binary64 (pow a1 2)))
#s(approx (/ 1 (* a1 a1)) #s(hole binary64 (/ 1 (pow a1 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (* -1 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (+ (* -1 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* -1 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (* -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (* -1 (* (pow a2 2) (sqrt 2)))))
#s(approx (* -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (+ (* -1 (* (pow a1 2) (sqrt 2))) (* -1 (* (pow a2 2) (sqrt 2))))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (sqrt 2))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (+ (* (/ (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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (* a2 (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (* a2 (sqrt 2))) (/ (* a2 (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (* a2 (sqrt 2)))))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (* a2 (sqrt 2))) (/ a2 (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) #s(hole binary64 (/ (pow a1 2) a2)))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) #s(hole binary64 (* (pow a1 2) (+ (/ 1 a2) (/ a2 (pow a1 2))))))
#s(approx (/ (+ (* a2 a2) (/ 1 (/ 1 (* a1 a1)))) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (/ 1 (/ 1 (* 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) (/ 1 (/ 1 (* a1 a1)))) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a2 a2) (/ 1 (/ 1 (* a1 a1)))) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (* -1 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (* (pow a1 2) (+ (* -1 (* (cos th) (sqrt 2))) (* -1 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (* -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (* -1 (* (pow a1 2) (sqrt 2)))))
#s(approx (* -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (* (pow a1 2) (+ (* -1 (sqrt 2)) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))))
#s(approx (* a2 a2) #s(hole binary64 (pow a2 2)))
#s(approx a2 #s(hole binary64 a2))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (/ (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) a2)))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) #s(hole binary64 (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) a2)))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) a2)))
#s(approx (* (* (/ (cos th) (sqrt 2)) a2) a2) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) a2) #s(hole binary64 (/ (* a2 (cos th)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (+ (* (/ (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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (* a2 (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) #s(hole binary64 (* a2 (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) #s(hole binary64 (* a2 (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (/ (+ (* a2 a2) (/ 1 (/ 1 (* 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) (/ 1 (/ 1 (* a1 a1)))) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (* (pow a2 2) (+ (* -1 (* (cos th) (sqrt 2))) (* -1 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (* -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (* (pow a2 2) (+ (* -1 (sqrt 2)) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (* -1 (* a2 (+ (* -1 (/ (cos th) (sqrt 2))) (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) #s(hole binary64 (* -1 (* a2 (- (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (/ 1 (sqrt 2)))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) #s(hole binary64 (* -1 (* a2 (- (* -1 (/ (pow a1 2) (pow a2 2))) 1)))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) #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)) (+ (* a1 a1) (* a2 a2))) #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)) (+ (* a1 a1) (* a2 a2))) #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) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (+ (* -1/2 (/ (* a2 (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* 1/24 (/ (* a2 (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))) (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* a2 (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (* 1/24 (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))))) (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (* (pow a1 2) (sqrt 2))) (* -1 (* (pow a2 2) (sqrt 2)))) (pow (sqrt 2) 2)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (+ (* -1 (* (pow th 2) (+ (* 1/2 (/ (pow a1 2) (sqrt 2))) (* 1/2 (/ (pow a2 2) (sqrt 2)))))) (* -1 (/ (+ (* -1 (* (pow a1 2) (sqrt 2))) (* -1 (* (pow a2 2) (sqrt 2)))) (pow (sqrt 2) 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (* (pow a1 2) (sqrt 2))) (* -1 (* (pow a2 2) (sqrt 2)))) (pow (sqrt 2) 2))) (* (pow th 2) (+ (* -1 (* (pow th 2) (+ (* -1/24 (/ (pow a1 2) (sqrt 2))) (* -1/24 (/ (pow a2 2) (sqrt 2)))))) (* -1 (+ (* 1/2 (/ (pow a1 2) (sqrt 2))) (* 1/2 (/ (pow a2 2) (sqrt 2))))))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (* (pow a1 2) (sqrt 2))) (* -1 (* (pow a2 2) (sqrt 2)))) (pow (sqrt 2) 2))) (* (pow th 2) (+ (* -1 (+ (* 1/2 (/ (pow a1 2) (sqrt 2))) (* 1/2 (/ (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* -1 (* (pow th 2) (+ (* 1/720 (/ (pow a1 2) (sqrt 2))) (* 1/720 (/ (pow a2 2) (sqrt 2)))))) (* -1 (+ (* -1/24 (/ (pow a1 2) (sqrt 2))) (* -1/24 (/ (pow a2 2) (sqrt 2))))))))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (+ (* -1 (* (pow a1 2) (sqrt 2))) (* -1 (* (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (+ (* -1 (* (pow a1 2) (sqrt 2))) (+ (* -1 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2)))))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (+ (* -1 (* (pow a1 2) (sqrt 2))) (+ (* -1 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (+ (* 1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/24 (* (pow a1 2) (sqrt 2))) (* -1/24 (* (pow a2 2) (sqrt 2))))))))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (+ (* -1 (* (pow a1 2) (sqrt 2))) (+ (* -1 (* (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) (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)) a2) #s(hole binary64 (/ a2 (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) a2) #s(hole binary64 (+ (* -1/2 (/ (* a2 (pow th 2)) (sqrt 2))) (/ a2 (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ a2 (sqrt 2))) (* 1/24 (/ (* a2 (pow th 2)) (sqrt 2))))) (/ a2 (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ a2 (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* a2 (pow th 2)) (sqrt 2))) (* 1/24 (/ a2 (sqrt 2))))))) (/ a2 (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (/ (* (pow a2 2) (* (cos th) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (/ (* a2 (* (cos th) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* -1 (* (pow a2 2) (* (cos th) (sqrt 2))))) (pow (sqrt 2) 2)))))
Calls

9 calls:

TimeVariablePointExpression
24.0ms
a2
@inf
((* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (+ (* a1 a1) (* a2 a2)) a1 (* a2 a2) a2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (/ 1 (/ 1 (* a1 a1)))) (sqrt 2)) (+ (* a2 a2) (/ 1 (/ 1 (* a1 a1)))) (/ 1 (/ 1 (* a1 a1))) 1 (/ 1 (* a1 a1)) (* a1 a1) (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))) -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (* (sqrt 2) (neg (sqrt 2))) (neg (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (cos th) (sqrt 2)) a2) a2) (* (/ (cos th) (sqrt 2)) a2))
5.0ms
th
@inf
((* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (+ (* a1 a1) (* a2 a2)) a1 (* a2 a2) a2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (/ 1 (/ 1 (* a1 a1)))) (sqrt 2)) (+ (* a2 a2) (/ 1 (/ 1 (* a1 a1)))) (/ 1 (/ 1 (* a1 a1))) 1 (/ 1 (* a1 a1)) (* a1 a1) (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))) -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (* (sqrt 2) (neg (sqrt 2))) (neg (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (cos th) (sqrt 2)) a2) a2) (* (/ (cos th) (sqrt 2)) a2))
5.0ms
th
@-inf
((* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (+ (* a1 a1) (* a2 a2)) a1 (* a2 a2) a2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (/ 1 (/ 1 (* a1 a1)))) (sqrt 2)) (+ (* a2 a2) (/ 1 (/ 1 (* a1 a1)))) (/ 1 (/ 1 (* a1 a1))) 1 (/ 1 (* a1 a1)) (* a1 a1) (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))) -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (* (sqrt 2) (neg (sqrt 2))) (neg (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (cos th) (sqrt 2)) a2) a2) (* (/ (cos th) (sqrt 2)) a2))
5.0ms
a2
@-inf
((* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (+ (* a1 a1) (* a2 a2)) a1 (* a2 a2) a2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (/ 1 (/ 1 (* a1 a1)))) (sqrt 2)) (+ (* a2 a2) (/ 1 (/ 1 (* a1 a1)))) (/ 1 (/ 1 (* a1 a1))) 1 (/ 1 (* a1 a1)) (* a1 a1) (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))) -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (* (sqrt 2) (neg (sqrt 2))) (neg (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (cos th) (sqrt 2)) a2) a2) (* (/ (cos th) (sqrt 2)) a2))
4.0ms
a2
@0
((* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (+ (* a1 a1) (* a2 a2)) a1 (* a2 a2) a2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (/ 1 (/ 1 (* a1 a1)))) (sqrt 2)) (+ (* a2 a2) (/ 1 (/ 1 (* a1 a1)))) (/ 1 (/ 1 (* a1 a1))) 1 (/ 1 (* a1 a1)) (* a1 a1) (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))) -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (* (sqrt 2) (neg (sqrt 2))) (neg (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (cos th) (sqrt 2)) a2) a2) (* (/ (cos th) (sqrt 2)) a2))

rewrite189.0ms (3.6%)

Memory
-7.9MiB live, 177.1MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05054816
05444116
130764098
083554002
Stop Event
iter-limit
node-limit
iter-limit
Counts
158 → 388
Calls
Call 1
Inputs
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(cos.f64 th)
th
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 a1 a1 (*.f64 a2 a2))
a1
(*.f64 a2 a2)
a2
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
(*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2) (sqrt.f64 #s(literal 2 binary64)))) a2)
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 a2 a2 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a2 a2 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 a1 a1))
(*.f64 a1 a1)
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(literal -1 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.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))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2)
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2)
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx a1 #s(hole binary64 a1))
#s(approx (+ (* (/ (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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (/ (* a2 (cos th)) (sqrt 2))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (+ (/ (* a2 (cos th)) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* a2 (sqrt 2))))))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) #s(hole binary64 (/ a2 (sqrt 2))))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) #s(hole binary64 (+ (/ a2 (sqrt 2)) (/ (pow a1 2) (* a2 (sqrt 2))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) #s(hole binary64 a2))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) #s(hole binary64 (+ a2 (/ (pow a1 2) a2))))
#s(approx (/ (+ (* a2 a2) (/ 1 (/ 1 (* a1 a1)))) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (/ 1 (/ 1 (* a1 a1)))) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* a2 a2) (/ 1 (/ 1 (* a1 a1)))) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a2 a2) (/ 1 (/ 1 (* a1 a1)))) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (/ 1 (/ 1 (* a1 a1))) #s(hole binary64 (pow a1 2)))
#s(approx (/ 1 (* a1 a1)) #s(hole binary64 (/ 1 (pow a1 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (* -1 (* (pow a2 2) (* (cos th) (sqrt 2))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (+ (* -1 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* -1 (* (pow a2 2) (* (cos th) (sqrt 2)))))))
#s(approx (* -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (* -1 (* (pow a2 2) (sqrt 2)))))
#s(approx (* -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (+ (* -1 (* (pow a1 2) (sqrt 2))) (* -1 (* (pow a2 2) (sqrt 2))))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (sqrt 2))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (+ (* (/ (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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (* a2 (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (* a2 (sqrt 2))) (/ (* a2 (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (* a2 (sqrt 2)))))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (* a2 (sqrt 2))) (/ a2 (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) #s(hole binary64 (/ (pow a1 2) a2)))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) #s(hole binary64 (* (pow a1 2) (+ (/ 1 a2) (/ a2 (pow a1 2))))))
#s(approx (/ (+ (* a2 a2) (/ 1 (/ 1 (* a1 a1)))) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (/ 1 (/ 1 (* 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) (/ 1 (/ 1 (* a1 a1)))) #s(hole binary64 (pow a1 2)))
#s(approx (+ (* a2 a2) (/ 1 (/ 1 (* a1 a1)))) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (* -1 (* (pow a1 2) (* (cos th) (sqrt 2))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (* (pow a1 2) (+ (* -1 (* (cos th) (sqrt 2))) (* -1 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))))
#s(approx (* -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (* -1 (* (pow a1 2) (sqrt 2)))))
#s(approx (* -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (* (pow a1 2) (+ (* -1 (sqrt 2)) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (sqrt 2))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))))
#s(approx (* a2 a2) #s(hole binary64 (pow a2 2)))
#s(approx a2 #s(hole binary64 a2))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (/ (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) a2)))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) #s(hole binary64 (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) a2)))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) a2)))
#s(approx (* (* (/ (cos th) (sqrt 2)) a2) a2) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) a2) #s(hole binary64 (/ (* a2 (cos th)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (+ (* (/ (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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (* a2 (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) #s(hole binary64 (* a2 (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) #s(hole binary64 (* a2 (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (/ (+ (* a2 a2) (/ 1 (/ 1 (* 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) (/ 1 (/ 1 (* a1 a1)))) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (* (pow a2 2) (+ (* -1 (* (cos th) (sqrt 2))) (* -1 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))))
#s(approx (* -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))) #s(hole binary64 (* (pow a2 2) (+ (* -1 (sqrt 2)) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (sqrt 2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (* -1 (* a2 (+ (* -1 (/ (cos th) (sqrt 2))) (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) #s(hole binary64 (* -1 (* a2 (- (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (/ 1 (sqrt 2)))))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) #s(hole binary64 (* -1 (* a2 (- (* -1 (/ (pow a1 2) (pow a2 2))) 1)))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) #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)) (+ (* a1 a1) (* a2 a2))) #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)) (+ (* a1 a1) (* a2 a2))) #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) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (+ (* -1/2 (/ (* a2 (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* 1/24 (/ (* a2 (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))) (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* a2 (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (* 1/24 (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))))) (/ (* a2 (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (* (pow a1 2) (sqrt 2))) (* -1 (* (pow a2 2) (sqrt 2)))) (pow (sqrt 2) 2)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (+ (* -1 (* (pow th 2) (+ (* 1/2 (/ (pow a1 2) (sqrt 2))) (* 1/2 (/ (pow a2 2) (sqrt 2)))))) (* -1 (/ (+ (* -1 (* (pow a1 2) (sqrt 2))) (* -1 (* (pow a2 2) (sqrt 2)))) (pow (sqrt 2) 2))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (* (pow a1 2) (sqrt 2))) (* -1 (* (pow a2 2) (sqrt 2)))) (pow (sqrt 2) 2))) (* (pow th 2) (+ (* -1 (* (pow th 2) (+ (* -1/24 (/ (pow a1 2) (sqrt 2))) (* -1/24 (/ (pow a2 2) (sqrt 2)))))) (* -1 (+ (* 1/2 (/ (pow a1 2) (sqrt 2))) (* 1/2 (/ (pow a2 2) (sqrt 2))))))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (* (pow a1 2) (sqrt 2))) (* -1 (* (pow a2 2) (sqrt 2)))) (pow (sqrt 2) 2))) (* (pow th 2) (+ (* -1 (+ (* 1/2 (/ (pow a1 2) (sqrt 2))) (* 1/2 (/ (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* -1 (* (pow th 2) (+ (* 1/720 (/ (pow a1 2) (sqrt 2))) (* 1/720 (/ (pow a2 2) (sqrt 2)))))) (* -1 (+ (* -1/24 (/ (pow a1 2) (sqrt 2))) (* -1/24 (/ (pow a2 2) (sqrt 2))))))))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (+ (* -1 (* (pow a1 2) (sqrt 2))) (* -1 (* (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (+ (* -1 (* (pow a1 2) (sqrt 2))) (+ (* -1 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2)))))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (+ (* -1 (* (pow a1 2) (sqrt 2))) (+ (* -1 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (+ (* 1/2 (* (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/24 (* (pow a1 2) (sqrt 2))) (* -1/24 (* (pow a2 2) (sqrt 2))))))))))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(hole binary64 (+ (* -1 (* (pow a1 2) (sqrt 2))) (+ (* -1 (* (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) (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)) a2) #s(hole binary64 (/ a2 (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) a2) #s(hole binary64 (+ (* -1/2 (/ (* a2 (pow th 2)) (sqrt 2))) (/ a2 (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ a2 (sqrt 2))) (* 1/24 (/ (* a2 (pow th 2)) (sqrt 2))))) (/ a2 (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) a2) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ a2 (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* a2 (pow th 2)) (sqrt 2))) (* 1/24 (/ a2 (sqrt 2))))))) (/ a2 (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) #s(hole binary64 (/ (* (pow a2 2) (* (cos th) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(hole binary64 (/ (* a2 (* (cos th) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* -1 (* (pow a2 2) (* (cos th) (sqrt 2))))) (pow (sqrt 2) 2)))))
Outputs
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (/.f64 (fma.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))) (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) (*.f64 a1 a1)) (*.f64 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) (*.f64 a1 a1)) (*.f64 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) a2) (*.f64 (*.f64 a2 a2) a2))) (neg.f64 (cos.f64 th))) (*.f64 (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1) (*.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2))) (cos.f64 th)) (*.f64 (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))))
(/.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) (*.f64 a1 a1)) (*.f64 a1 a1)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 a2 a2) (*.f64 a2 a2) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (fma.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1) (*.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 a2 a2) (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 a2 a2) (*.f64 a2 a2) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1) (*.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2)))) #s(literal -2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (cos.f64 th)))) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th))))) #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 a1 a1) (cos.f64 th)))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1) #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) (sqrt.f64 #s(literal 2 binary64))) a1) a1) #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 a1 a1) (cos.f64 th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) a2))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (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 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
(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) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
(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) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
(fma.f64 a2 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
(-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1) (*.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
(+.f64 (*.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))))
(+.f64 (/.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))) a1) a1))
(/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.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 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 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))
(fabs.f64 (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a2 a2))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (fma.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 a2 a2) (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1))) (fma.f64 (*.f64 a2 a2) (*.f64 a2 a2) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (fma.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1) (*.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2))) (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a2)) (*.f64 a1 a1))
(fma.f64 (neg.f64 (fabs.f64 a2)) (neg.f64 (fabs.f64 a2)) (*.f64 a1 a1))
(fma.f64 (neg.f64 (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 a1)) (exp.f64 (log.f64 a1)) (*.f64 a2 a2))
(fma.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)) (*.f64 a1 a1))
(fma.f64 (neg.f64 a2) (neg.f64 a2) (*.f64 a1 a1))
(fma.f64 (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 #s(literal 1 binary64) (*.f64 a1 a1) (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 a1 a1 (*.f64 a2 a2))
(-.f64 (*.f64 a1 a1) (*.f64 (neg.f64 a2) a2))
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(+.f64 (*.f64 a2 a2) (*.f64 a1 a1))
a1
(*.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a2)))
(*.f64 (neg.f64 (fabs.f64 a2)) (neg.f64 (fabs.f64 a2)))
(*.f64 (fabs.f64 (fabs.f64 a2)) (fabs.f64 (fabs.f64 a2)))
(*.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)))
(*.f64 (neg.f64 a2) (neg.f64 a2))
(*.f64 (fabs.f64 a2) (fabs.f64 a2))
(*.f64 a2 a2)
(pow.f64 (exp.f64 (log.f64 a2)) #s(literal 2 binary64))
(pow.f64 (pow.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #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))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.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) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
(*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2) (sqrt.f64 #s(literal 2 binary64)))) a2)
(*.f64 a2 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
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(fma.f64 (neg.f64 (fabs.f64 a2)) (neg.f64 (fabs.f64 a2)) (*.f64 a1 a1))
(fma.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)) (*.f64 a2 a2))
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(fma.f64 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a1)) (*.f64 a2 a2))
(fma.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)) (*.f64 a2 a2))
(fma.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)) (*.f64 a1 a1))
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(fma.f64 #s(literal 1 binary64) (*.f64 a1 a1) (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
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(-.f64 (*.f64 a1 a1) (*.f64 (neg.f64 a2) a2))
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(+.f64 (*.f64 a2 a2) (*.f64 a1 a1))
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(*.f64 a1 a1)
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(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))
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(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 a1 a1)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))))
(fabs.f64 (*.f64 a1 a1))
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(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))) #s(literal -1 binary64)))
(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(literal 1 binary64)
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(*.f64 (pow.f64 (neg.f64 a1) #s(literal -1 binary64)) (pow.f64 (neg.f64 a1) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a1) (/.f64 #s(literal 1 binary64) a1))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1)))
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(pow.f64 (pow.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a1 a1)) #s(literal 1 binary64))
(pow.f64 (*.f64 a1 a1) #s(literal -1 binary64))
(pow.f64 a1 #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) a1) a1)
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 a1) a1))
(/.f64 #s(literal 1 binary64) (*.f64 a1 a1))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 a1) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 a1)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 a1) #s(literal -2 binary64)))
(*.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 #s(literal 1 binary64) (*.f64 a1 a1))
(*.f64 a1 a1)
(pow.f64 (exp.f64 (log.f64 a1)) #s(literal 2 binary64))
(pow.f64 (pow.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (fabs.f64 a1) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a1 a1)) #s(literal -1 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))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 a1 a1)))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 a1 a1)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))))
(fabs.f64 (*.f64 a1 a1))
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(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))))
(/.f64 (/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
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(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))) #s(literal -2 binary64))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))))
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(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
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#s(literal -1 binary64)
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(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))
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(fma.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(literal -2 binary64)
(*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))
(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) 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 a2 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
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(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2)
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
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(/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (+ (* a2 a2) (/ 1 (/ 1 (* a1 a1)))) (*.f64 a2 a2))
#s(approx (+ (* a2 a2) (/ 1 (/ 1 (* a1 a1)))) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx a1 a1)
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (+.f64 (/.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2)
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (+.f64 (/.f64 (*.f64 a1 a1) a2) a2))
#s(approx (/ (+ (* a2 a2) (/ 1 (/ 1 (* a1 a1)))) (sqrt 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (/ 1 (/ 1 (* a1 a1)))) (sqrt 2)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* a2 a2) (/ 1 (/ 1 (* a1 a1)))) (*.f64 a2 a2))
#s(approx (+ (* a2 a2) (/ 1 (/ 1 (* a1 a1)))) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (/ 1 (/ 1 (* a1 a1))) (*.f64 a1 a1))
#s(approx (/ 1 (* a1 a1)) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1)))
#s(approx (/ 1 (/ 1 (* a1 a1))) (*.f64 a1 a1))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (fma.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)))))
#s(approx (* -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* 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) (/ 1 (/ 1 (* a1 a1)))) (*.f64 a1 a1))
#s(approx (+ (* a2 a2) (/ 1 (/ 1 (* a1 a1)))) (*.f64 (+.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* 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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (*.f64 (fma.f64 a2 (/.f64 (cos.f64 th) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) (*.f64 a1 a1)))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (/.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (*.f64 (+.f64 (/.f64 a2 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) (*.f64 a1 a1)))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (/.f64 (*.f64 a1 a1) a2))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (*.f64 (+.f64 (/.f64 a2 (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) a2)) (*.f64 a1 a1)))
#s(approx (/ (+ (* a2 a2) (/ 1 (/ 1 (* a1 a1)))) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (/ 1 (/ 1 (* 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) (/ 1 (/ 1 (* a1 a1)))) (*.f64 a1 a1))
#s(approx (+ (* a2 a2) (/ 1 (/ 1 (* a1 a1)))) (*.f64 (+.f64 (/.f64 (*.f64 a2 a2) (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (*.f64 a1 a1)))
#s(approx (* -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (neg.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (*.f64 (+.f64 (/.f64 (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* a2 a2) (*.f64 a2 a2))
#s(approx a2 a2)
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) a2))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (/.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) a2))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) a2))
#s(approx (* (* (/ (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)) a2) (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* 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) (/ 1 (/ 1 (* a1 a1)))) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 a2 a2)))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* 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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) 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)))) a2))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (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)))) a2))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2))
#s(approx (/ (+ (* a2 a2) (/ 1 (/ 1 (* 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) (/ 1 (/ 1 (* a1 a1)))) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 a2 a2)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.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) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 (+.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1))) (*.f64 a2 a2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (*.f64 a2 a2)))
#s(approx (* -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (*.f64 (+.f64 (/.f64 (neg.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (* (sqrt 2) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a2 a2) (fma.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (neg.f64 (*.f64 (+.f64 (neg.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))) (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) a2)))
#s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (neg.f64 (*.f64 (-.f64 (neg.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)))) a2)))
#s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 1 binary64)) a2)))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (fma.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (fma.f64 (fma.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/24 binary64) (*.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) (* a2 a2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/720 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)) (/.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 (/.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) (/.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 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx th th)
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* 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) (* 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) (* 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 (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 th th) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 th th) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 th th) (/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 th th) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/720 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64))) (*.f64 th th) (*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 th th) (/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 th th) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 th th) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (*.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 th th) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/720 binary64) (*.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/24 binary64))) (*.f64 th th) (*.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (neg.f64 (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (+.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))) (neg.f64 (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (fma.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (*.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) (neg.f64 (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (fma.f64 (fma.f64 (+.f64 (neg.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (*.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) (neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 th th) (neg.f64 (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -2 binary64)))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.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))))
#s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.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))))
#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) (fma.f64 (*.f64 (*.f64 a2 a2) (/.f64 (*.f64 th 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)) a2) a2) (fma.f64 (fma.f64 (*.f64 (*.f64 a2 a2) (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/24 binary64) (/.f64 (*.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 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 a2 th) (*.f64 a2 th))) (*.f64 #s(literal -1/24 binary64) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (*.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) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) a2) (fma.f64 (/.f64 (*.f64 (*.f64 th th) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) a2) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 th th) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) a2) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 th th) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th) (*.f64 #s(literal -1/2 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* 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)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (cos th) (cos.f64 th))
#s(approx (* (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) a2) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (neg.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)))) #s(literal 2 binary64))))

eval53.0ms (1%)

Memory
-5.7MiB live, 92.8MiB allocated; 10ms collecting garbage
Compiler

Compiled 5 287 to 1 733 computations (67.2% saved)

prune50.0ms (1%)

Memory
4.2MiB live, 97.6MiB allocated; 5ms collecting garbage
Pruning

50 alts after pruning (43 fresh and 7 done)

PrunedKeptTotal
New42418442
Fresh102535
Picked235
Done044
Total43650486
Accuracy
100.0%
Counts
486 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.3%
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
66.5%
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a2 a2))))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
64.6%
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
66.2%
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(approx (* -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
13.2%
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(approx (* -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (neg.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
14.7%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ (* a2 a2) (/ 1 (/ 1 (* a1 a1)))) (*.f64 a1 a1)))
62.6%
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
60.7%
(*.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 a1 a1 (*.f64 a2 a2)))
66.7%
(*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
99.6%
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
66.7%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
14.7%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
99.3%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
14.7%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 (*.f64 a1 a1) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
66.7%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
99.3%
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
28.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) th) th (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
66.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (/.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal -2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
66.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
66.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a1) (/.f64 #s(literal 1 binary64) a1)))) (sqrt.f64 #s(literal 2 binary64))))
66.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))) #s(literal -1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
12.8%
#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))) #s(approx (- (* a2 a2) (* a1 a1)) (*.f64 a2 a2))) (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 (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (*.f64 (*.f64 (*.f64 a2 a2) a2) a2)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
99.3%
#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))))
14.7%
#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))))
60.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
99.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
66.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (* (cos th) a2) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
13.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (pow.f64 (exp.f64 (log.f64 a1)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
13.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
16.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (sqrt.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1))) (sqrt.f64 #s(literal 2 binary64))))
13.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
99.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2))
99.2%
#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))) (*.f64 a2 a2)))
60.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.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)))
66.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
60.0%
#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))) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
66.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
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))
14.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) a2))
66.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) a2))
56.6%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)) (*.f64 a1 a1)))) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
13.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (/.f64 (*.f64 a1 a1) a2)) (sqrt.f64 #s(literal 2 binary64)))) a2))
66.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))) a2))
66.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
13.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (/.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) a2))
39.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 a2 (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))) a2))
40.0%
#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 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
44.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a2 th) (*.f64 a2 th)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
Compiler

Compiled 2 476 to 1 594 computations (35.6% saved)

regimes215.0ms (4.1%)

Memory
4.0MiB live, 337.6MiB allocated; 93ms collecting garbage
Counts
83 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.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))) (/.f64 (*.f64 #s(approx (* (cos th) a2) 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 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.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))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (/.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))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (/.f64 (*.f64 a1 a1) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (/.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (/.f64 (*.f64 a1 a1) a2)) (sqrt.f64 #s(literal 2 binary64)))) a2))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.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(approx (+ (* a2 a2) (* a1 a1)) (sqrt.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (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 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))) a2))
#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))) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.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 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(approx (* -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (neg.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(approx (* -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))) (*.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))) (/.f64 (fma.f64 a2 a2 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a2 th) (*.f64 a2 th)) (*.f64 a2 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) a2) a2) (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)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (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 (+ (* (/ (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 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a1) (/.f64 #s(literal 1 binary64) 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 a1 a1 (*.f64 a2 a2)))
#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 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 (/.f64 #s(approx (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (*.f64 (*.f64 (*.f64 a2 a2) a2) a2)) (-.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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)) (*.f64 a1 a1)))) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 a2 (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))) a2))
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.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))) (fma.f64 (/.f64 a2 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 a2 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.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 (/ (* (* (cos th) a2) a2) (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))) (/.f64 (fma.f64 a2 a2 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (/.f64 #s(literal 1 binary64) (pow.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 (/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) #s(approx (- (* a2 a2) (* a1 a1)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.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))) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.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)))) a2) a2))
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a1 a1 (*.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))) (/.f64 (fma.f64 a2 a2 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))) #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 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 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)) (pow.f64 (exp.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))) (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 (fma.f64 a2 a2 (pow.f64 (exp.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 (*.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (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 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))))))) (*.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))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #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) (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) a2) (sqrt.f64 #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) 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) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.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 (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 (*.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) (/ 1 (/ 1 (* a1 a1)))) (*.f64 a1 a1)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 (*.f64 a1 a1) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (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 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) 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 (*.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 (fma.f64 #s(approx (* (cos th) (* (neg a2) a2)) (*.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))
#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) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))) a2) a2))
(+.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))
(/.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 (*.f64 (/.f64 (cos.f64 th) (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(-.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)))))
Outputs
#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) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))) a2) a2))
Calls

8 calls:

60.0ms
th
25.0ms
a1
23.0ms
(cos.f64 th)
23.0ms
(*.f64 a2 a2)
21.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
99.6%1(*.f64 a2 a2)
99.6%1(*.f64 a1 a1)
99.6%1(cos.f64 th)
99.6%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.6%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.6%1a1
99.6%1a2
99.6%1th
Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes156.0ms (3%)

Memory
-3.6MiB live, 375.5MiB allocated; 17ms collecting garbage
Counts
76 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.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))) (/.f64 (*.f64 #s(approx (* (cos th) a2) 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 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.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))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (/.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))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (/.f64 (*.f64 a1 a1) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (/.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (/.f64 (*.f64 a1 a1) a2)) (sqrt.f64 #s(literal 2 binary64)))) a2))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.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(approx (+ (* a2 a2) (* a1 a1)) (sqrt.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (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 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))) a2))
#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))) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.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 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(approx (* -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (neg.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(approx (* -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))) (*.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))) (/.f64 (fma.f64 a2 a2 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a2 th) (*.f64 a2 th)) (*.f64 a2 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) a2) a2) (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)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (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 (+ (* (/ (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 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a1) (/.f64 #s(literal 1 binary64) 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 a1 a1 (*.f64 a2 a2)))
#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 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 (/.f64 #s(approx (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (*.f64 (*.f64 (*.f64 a2 a2) a2) a2)) (-.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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)) (*.f64 a1 a1)))) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 a2 (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))) a2))
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.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))) (fma.f64 (/.f64 a2 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 a2 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.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 (/ (* (* (cos th) a2) a2) (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))) (/.f64 (fma.f64 a2 a2 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (/.f64 #s(literal 1 binary64) (pow.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 (/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) #s(approx (- (* a2 a2) (* a1 a1)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.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))) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.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)))) a2) a2))
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a1 a1 (*.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))) (/.f64 (fma.f64 a2 a2 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))) #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 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 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)) (pow.f64 (exp.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))) (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 (fma.f64 a2 a2 (pow.f64 (exp.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 (*.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (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 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))))))) (*.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))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #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) (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) a2) (sqrt.f64 #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) 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) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.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 (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 (*.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) (/ 1 (/ 1 (* a1 a1)))) (*.f64 a1 a1)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 (*.f64 a1 a1) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (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 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) 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 (*.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 (fma.f64 #s(approx (* (cos th) (* (neg a2) a2)) (*.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 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
Calls

8 calls:

22.0ms
a2
20.0ms
a1
20.0ms
th
19.0ms
(cos.f64 th)
18.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
99.6%1(*.f64 a2 a2)
99.6%1(*.f64 a1 a1)
99.6%1(cos.f64 th)
99.6%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.6%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.6%1a1
99.6%1a2
99.6%1th
Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes150.0ms (2.9%)

Memory
35.7MiB live, 323.3MiB allocated; 30ms collecting garbage
Counts
68 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.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))) (/.f64 (*.f64 #s(approx (* (cos th) a2) 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 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.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))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (/.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))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (/.f64 (*.f64 a1 a1) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (/.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (/.f64 (*.f64 a1 a1) a2)) (sqrt.f64 #s(literal 2 binary64)))) a2))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.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(approx (+ (* a2 a2) (* a1 a1)) (sqrt.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (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 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))) a2))
#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))) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.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 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(approx (* -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (neg.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(approx (* -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))) (*.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))) (/.f64 (fma.f64 a2 a2 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a2 th) (*.f64 a2 th)) (*.f64 a2 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) a2) a2) (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)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (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 (+ (* (/ (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 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a1) (/.f64 #s(literal 1 binary64) 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 a1 a1 (*.f64 a2 a2)))
#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 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 (/.f64 #s(approx (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (*.f64 (*.f64 (*.f64 a2 a2) a2) a2)) (-.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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)) (*.f64 a1 a1)))) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 a2 (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))) a2))
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.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))) (fma.f64 (/.f64 a2 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 a2 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.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 (/ (* (* (cos th) a2) a2) (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))) (/.f64 (fma.f64 a2 a2 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (/.f64 #s(literal 1 binary64) (pow.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 (/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) #s(approx (- (* a2 a2) (* a1 a1)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.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))) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.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)))) a2) a2))
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a1 a1 (*.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))) (/.f64 (fma.f64 a2 a2 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))) #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 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 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)) (pow.f64 (exp.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))) (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 (fma.f64 a2 a2 (pow.f64 (exp.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 (*.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (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 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))))))) (*.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))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #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) (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) a2) (sqrt.f64 #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) 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) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.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 (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 (*.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) (/ 1 (/ 1 (* a1 a1)))) (*.f64 a1 a1)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.f64 (*.f64 (*.f64 a1 a1) #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 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
Calls

8 calls:

22.0ms
a1
20.0ms
(*.f64 a2 a2)
19.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
19.0ms
(cos.f64 th)
18.0ms
th
Results
AccuracySegmentsBranch
99.3%1(*.f64 a2 a2)
99.3%1(*.f64 a1 a1)
99.3%1(cos.f64 th)
99.3%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.3%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)))
99.3%1a1
99.3%1a2
99.3%1th
Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes229.0ms (4.4%)

Memory
-10.3MiB live, 261.0MiB allocated; 94ms collecting garbage
Counts
55 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.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))) (/.f64 (*.f64 #s(approx (* (cos th) a2) 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 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.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))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (/.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))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (/.f64 (*.f64 a1 a1) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (/.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (/.f64 (*.f64 a1 a1) a2)) (sqrt.f64 #s(literal 2 binary64)))) a2))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.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(approx (+ (* a2 a2) (* a1 a1)) (sqrt.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (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 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))) a2))
#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))) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.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 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(approx (* -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (neg.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(approx (* -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))) (*.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))) (/.f64 (fma.f64 a2 a2 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a2 th) (*.f64 a2 th)) (*.f64 a2 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) a2) a2) (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)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) a2) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2))))) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (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 (+ (* (/ (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 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a1) (/.f64 #s(literal 1 binary64) 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 a1 a1 (*.f64 a2 a2)))
#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 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 (/.f64 #s(approx (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (*.f64 (*.f64 (*.f64 a2 a2) a2) a2)) (-.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 (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)) (*.f64 a1 a1)))) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 a2 (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))) a2))
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.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))) (fma.f64 (/.f64 a2 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 a2 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.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 (/ (* (* (cos th) a2) a2) (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))) (/.f64 (fma.f64 a2 a2 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (/.f64 #s(literal 1 binary64) (pow.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 (/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) #s(approx (- (* a2 a2) (* a1 a1)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.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))) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.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)))) a2) a2))
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a1 a1 (*.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))) (/.f64 (fma.f64 a2 a2 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))) #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 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 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)) (pow.f64 (exp.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))) (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 (fma.f64 a2 a2 (pow.f64 (exp.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 (*.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (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 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) a2) a2))
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
Outputs
#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))) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
Calls

8 calls:

67.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
53.0ms
a1
36.0ms
a2
14.0ms
(*.f64 a2 a2)
14.0ms
th
Results
AccuracySegmentsBranch
66.8%1(*.f64 a2 a2)
66.8%1(*.f64 a1 a1)
78.2%2(cos.f64 th)
78.2%2(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
78.2%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)))
66.8%1a1
66.8%1a2
66.8%1th
Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes7.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.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))) (/.f64 (*.f64 #s(approx (* (cos th) a2) 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 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.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))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (/.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))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (/.f64 (*.f64 a1 a1) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (/.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (/.f64 (*.f64 a1 a1) a2)) (sqrt.f64 #s(literal 2 binary64)))) a2))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.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(approx (+ (* a2 a2) (* a1 a1)) (sqrt.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (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 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))) a2))
#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))) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.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 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(approx (* -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (neg.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(approx (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) #s(approx (* -1 (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))) (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))) (*.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))) (/.f64 (fma.f64 a2 a2 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 (*.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a2 th) (*.f64 a2 th)) (*.f64 a2 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) a2) a2) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)) (*.f64 th th) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
Outputs
#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))) (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))))
Calls

1 calls:

6.0ms
(+.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
78.2%2(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Compiler

Compiled 16 to 12 computations (25% saved)

regimes54.0ms (1%)

Memory
-2.4MiB live, 44.7MiB allocated; 2ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.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))) (/.f64 (*.f64 #s(approx (* (cos th) a2) 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 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.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))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (/.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))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (/.f64 (*.f64 a1 a1) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) #s(approx (/ (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (sqrt 2)) (/.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) (/.f64 (*.f64 a1 a1) a2)) (sqrt.f64 #s(literal 2 binary64)))) a2))
#s(approx (/ (+ (* (* (* (cos th) a2) a2) (neg (sqrt 2))) (* (sqrt 2) (* (cos th) (* (neg a1) a1)))) (* (sqrt 2) (neg (sqrt 2)))) (*.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(approx (+ (* a2 a2) (* a1 a1)) (sqrt.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (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 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))) a2))
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

8 calls:

26.0ms
th
4.0ms
a2
4.0ms
a1
4.0ms
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
4.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
66.8%1(*.f64 a2 a2)
66.8%1(*.f64 a1 a1)
66.8%1a1
66.8%1a2
66.8%1th
66.8%1(cos.f64 th)
66.8%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
66.8%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes15.0ms (0.3%)

Memory
23.0MiB live, 23.0MiB allocated; 0ms collecting garbage
Accuracy

Total -34.2b remaining (-159.3%)

Threshold costs -34.2b (-159.3%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.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))) (/.f64 (*.f64 #s(approx (* (cos th) a2) 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 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ (cos th) (sqrt 2))) a2) (/.f64 #s(approx (* (+ (* (/ a1 a2) (/ a1 a2)) 1) a2) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
Calls

8 calls:

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

Compiled 30 to 40 computations (-33.3% saved)

bsearch20.0ms (0.4%)

Memory
-51.6MiB live, 0.8MiB allocated; 12ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
19.0ms
-2.1969487088703555e-129
-6.702065350510819e-164
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.1969487088703555e-129
-6.702065350510819e-164
Compiler

Compiled 19 to 18 computations (5.3% saved)

derivations343.0ms (6.6%)

Memory
29.1MiB live, 270.9MiB allocated; 41ms collecting garbage
Stop Event
fuel
Compiler

Compiled 137 to 69 computations (49.6% saved)

preprocess123.0ms (2.4%)

Memory
-27.6MiB live, 257.0MiB allocated; 18ms collecting garbage
Remove

(abs th)

Compiler

Compiled 3 697 to 2 587 computations (30% saved)

end0.0ms (0%)

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

Profiling

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