Migdal et al, Equation (64)

Time bar (total: 4.8s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 21 to 14 computations (33.3% saved)

sample1.1s (22.8%)

Memory
-1.6MiB live, 939.1MiB allocated; 208ms collecting garbage
Samples
768.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 561.0ms
ival-mult!: 264.0ms (47.1% of total)
ival-cos: 195.0ms (34.8% of total)
ival-div!: 84.0ms (15% of total)
ival-add!: 17.0ms (3% of total)
adjust: 1.0ms (0.2% of total)
Bogosity

preprocess52.0ms (1.1%)

Memory
-15.7MiB live, 32.0MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041133
1177133
2793133
33290133
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Symmetry

(abs a1)

(abs a2)

(abs th)

(sort a1 a2)

Compiler

Compiled 32 to 24 computations (25% saved)

series19.0ms (0.4%)

Memory
22.7MiB live, 22.7MiB allocated; 0ms collecting garbage
Counts
12 → 32
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)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* a2 a2) #s(hole binary64 (pow a2 2)))
#s(approx a2 #s(hole binary64 a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a1 2) (sqrt 2))))))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (cos th) #s(hole binary64 1))
#s(approx (cos th) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (cos th) #s(hole binary64 (cos th)))
Calls

9 calls:

TimeVariablePointExpression
4.0ms
th
@-inf
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (* a1 a1) a1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* a2 a2) a2)
3.0ms
a1
@0
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (* a1 a1) a1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* a2 a2) a2)
2.0ms
th
@inf
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (* a1 a1) a1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* a2 a2) a2)
2.0ms
a2
@0
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (* a1 a1) a1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* a2 a2) a2)
2.0ms
th
@0
((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (* a1 a1) a1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* a2 a2) a2)

rewrite177.0ms (3.7%)

Memory
6.5MiB live, 190.8MiB allocated; 46ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156968
0170848
1995810
08445758
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
44 → 148
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)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* a2 a2) #s(hole binary64 (pow a2 2)))
#s(approx a2 #s(hole binary64 a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (/ (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 (neg.f64 (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.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 a2 a2) (cos.f64 th)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2) (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2) (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1) (neg.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2))))))
(/.f64 (fma.f64 (neg.f64 (cos.f64 th)) (*.f64 a2 a2) (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 a2 a2) (cos.f64 th) (*.f64 (*.f64 a1 a1) (cos.f64 th))) (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 (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 a1 a1) (cos.f64 th)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (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 (*.f64 a2 a2) (cos.f64 th)) (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 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 a2 a2) (cos.f64 th)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 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)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (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) (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2) (-.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2) (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1))))))
(/.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 a1 a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a2 a2) (cos.f64 th))))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (/.f64 (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) (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2) (-.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2) (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1)))))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #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 a2 a2) (cos.f64 th)))) #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) a1) (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1) (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2) (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1) #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) (sqrt.f64 #s(literal 2 binary64))) a2) #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) (sqrt.f64 #s(literal 2 binary64))) a2) (*.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64)))) a1))
(-.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2) (*.f64 (*.f64 (neg.f64 a1) a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2) (*.f64 (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(-.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1) (*.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64)))) a2))
(-.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1) (*.f64 (*.f64 (neg.f64 a2) a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1) (neg.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2)))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2) (-.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2) (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1))))) (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2) (-.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2) (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a2 a2) (cos.f64 th))) #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2) (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1))
(+.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1) (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2))
(*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) 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 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(/.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 a1 a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (cos.f64 th))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(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 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a1)))
(*.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)))
(*.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a1)))
(*.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)))
(*.f64 (fabs.f64 a1) (fabs.f64 a1))
(*.f64 (neg.f64 a1) (neg.f64 a1))
(*.f64 a1 a1)
(pow.f64 (exp.f64 (log.f64 a1)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a1) #s(literal 2 binary64))
(pow.f64 (neg.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) 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 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(/.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 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a2) a2)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fabs.f64 (fabs.f64 a2)) (fabs.f64 (fabs.f64 a2)))
(*.f64 (neg.f64 (fabs.f64 a2)) (neg.f64 (fabs.f64 a2)))
(*.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a2)))
(*.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)))
(*.f64 (fabs.f64 a2) (fabs.f64 a2))
(*.f64 (neg.f64 a2) (neg.f64 a2))
(*.f64 a2 a2)
(pow.f64 (exp.f64 (log.f64 a2)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a2) #s(literal 2 binary64))
(pow.f64 (neg.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) (sqrt.f64 #s(literal 2 binary64))) 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 (* (/ (cos th) (sqrt 2)) (* a1 a1)) (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1))
#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 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (* a2 a2) (*.f64 a2 a2))
#s(approx a2 a2)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (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) (fma.f64 a1 a1 (*.f64 a2 a2))) (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 (*.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th))) (*.f64 th th) (/.f64 (fma.f64 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 (*.f64 #s(literal -1/720 binary64) (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 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 th a1) (*.f64 th a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 th a1) (*.f64 th a1)) (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 th a1) (*.f64 th a1)) (*.f64 #s(literal 1/24 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (*.f64 a1 (/.f64 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 (fma.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 (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 (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)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx th th)
#s(approx (* (/ (cos th) (sqrt 2)) (* a2 a2)) (*.f64 a2 (/.f64 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 th a2) (*.f64 th a2)) (*.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 th a2) (*.f64 th a2)) (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (*.f64 a2 (/.f64 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 th a2) (*.f64 th a2)) (*.f64 #s(literal 1/24 binary64) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (cos th) (sqrt 2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (cos th) (cos.f64 th))

eval19.0ms (0.4%)

Memory
-19.8MiB live, 25.5MiB allocated; 9ms collecting garbage
Compiler

Compiled 1 769 to 554 computations (68.7% saved)

prune10.0ms (0.2%)

Memory
18.3MiB live, 18.3MiB allocated; 0ms collecting garbage
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New12215137
Fresh000
Picked101
Done000
Total12315138
Accuracy
100.0%
Counts
138 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1))
▶99.7%
(fma.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1))
99.7%
(fma.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2))
99.5%
(/.f64 (fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) (cos.f64 th)))) #s(literal 2 binary64))
▶99.6%
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
99.5%
(+.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) (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 a2 a2)))
▶57.1%
(+.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
62.1%
(+.f64 (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
96.2%
(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.5%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
29.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
▶62.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
98.4%
#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))
▶57.6%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
96.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
Compiler

Compiled 574 to 484 computations (15.7% saved)

series55.0ms (1.1%)

Memory
-19.9MiB live, 82.0MiB allocated; 21ms collecting garbage
Counts
35 → 83
Calls
Call 1
Inputs
(fma.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1))
(cos.f64 th)
th
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
a2
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1)
(/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) a1)
a1
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a2 a2 (*.f64 a1 a1))
(*.f64 a1 a1)
(+.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 th th)
#s(literal 1 binary64)
(*.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))
(*.f64 a2 a2)
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))
(fma.f64 a1 a1 (*.f64 a2 a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
(*.f64 (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))
(*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
(/.f64 a2 (*.f64 a1 a1))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
Outputs
#s(approx (+ (* (cos th) (* a2 (/ a2 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (cos th) (* a2 (/ a2 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (* (/ (* (cos th) a1) (sqrt 2)) a1) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (/ (* (cos th) a1) (sqrt 2)) #s(hole binary64 (/ (* a1 (cos th)) (sqrt 2))))
#s(approx (* (cos th) a1) #s(hole binary64 (* a1 (cos th))))
#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 (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (cos th))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (pow a1 2))))
#s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) #s(hole binary64 (/ (pow a2 2) (pow a1 2))))
#s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))))
#s(approx (/ a2 (* a1 a1)) #s(hole binary64 (/ a2 (pow a1 2))))
#s(approx (+ (* (cos th) (* a2 (/ a2 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (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) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (cos th))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2))))))
#s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) #s(hole binary64 1))
#s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) #s(hole binary64 (+ 1 (/ (pow a2 2) (pow a1 2)))))
#s(approx a2 #s(hole binary64 a2))
#s(approx (/ a2 (sqrt 2)) #s(hole binary64 (/ a2 (sqrt 2))))
#s(approx (+ (* (cos th) (* a2 (/ a2 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (* (pow a1 2) (sqrt 2))) (/ (cos th) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))))
#s(approx (+ (* (cos th) (* a2 (/ a2 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) #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) (* a2 (/ a2 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) #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) (* a2 (/ a2 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) #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) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (* (/ (* (cos th) a1) (sqrt 2)) a1) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (/ (* (cos th) a1) (sqrt 2)) 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) a1) (sqrt 2)) 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) a1) (sqrt 2)) #s(hole binary64 (/ a1 (sqrt 2))))
#s(approx (/ (* (cos th) a1) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (* a1 (pow th 2)) (sqrt 2))) (/ a1 (sqrt 2)))))
#s(approx (/ (* (cos th) a1) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ a1 (sqrt 2))) (* 1/24 (/ (* a1 (pow th 2)) (sqrt 2))))) (/ a1 (sqrt 2)))))
#s(approx (/ (* (cos th) a1) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ a1 (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* a1 (pow th 2)) (sqrt 2))) (* 1/24 (/ a1 (sqrt 2))))))) (/ a1 (sqrt 2)))))
#s(approx (* (cos th) a1) #s(hole binary64 (+ a1 (* -1/2 (* a1 (pow th 2))))))
#s(approx (* (cos th) a1) #s(hole binary64 (+ a1 (* (pow th 2) (+ (* -1/2 a1) (* 1/24 (* a1 (pow th 2))))))))
#s(approx (* (cos th) a1) #s(hole binary64 (+ a1 (* (pow th 2) (+ (* -1/2 a1) (* (pow th 2) (+ (* -1/720 (* a1 (pow th 2))) (* 1/24 a1))))))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (* th th) #s(hole binary64 (pow th 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) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #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) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #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) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* 1/24 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (+ (pow a1 2) (pow a2 2))))))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))))
#s(approx (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))))))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2)))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (+ 1 (/ (pow a2 2) (pow a1 2))) (sqrt 2))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ 1 (/ (pow a2 2) (pow a1 2))) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))))) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ 1 (/ (pow a2 2) (pow a1 2))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))) (* 1/24 (/ (+ 1 (/ (pow a2 2) (pow a1 2))) (sqrt 2))))))) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (+ (* -1/2 (* th th)) 1) #s(hole binary64 (* -1/2 (pow th 2))))
#s(approx (+ (* -1/2 (* th th)) 1) #s(hole binary64 (* (pow th 2) (- (/ 1 (pow th 2)) 1/2))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (cos th) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (/ (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))))
Calls

9 calls:

TimeVariablePointExpression
11.0ms
th
@-inf
((+ (* (cos th) (* a2 (/ a2 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) (cos th) th (* a2 (/ a2 (sqrt 2))) a2 (/ a2 (sqrt 2)) (sqrt 2) 2 (* (/ (* (cos th) a1) (sqrt 2)) a1) (/ (* (cos th) a1) (sqrt 2)) (* (cos th) a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) (+ (* -1/2 (* th th)) 1) -1/2 (* th th) 1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* a2 a2) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (+ (* a2 (/ a2 (* a1 a1))) 1) (/ a2 (* a1 a1)) (/ (cos th) (sqrt 2)))
8.0ms
a2
@inf
((+ (* (cos th) (* a2 (/ a2 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) (cos th) th (* a2 (/ a2 (sqrt 2))) a2 (/ a2 (sqrt 2)) (sqrt 2) 2 (* (/ (* (cos th) a1) (sqrt 2)) a1) (/ (* (cos th) a1) (sqrt 2)) (* (cos th) a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) (+ (* -1/2 (* th th)) 1) -1/2 (* th th) 1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* a2 a2) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (+ (* a2 (/ a2 (* a1 a1))) 1) (/ a2 (* a1 a1)) (/ (cos th) (sqrt 2)))
8.0ms
a2
@0
((+ (* (cos th) (* a2 (/ a2 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) (cos th) th (* a2 (/ a2 (sqrt 2))) a2 (/ a2 (sqrt 2)) (sqrt 2) 2 (* (/ (* (cos th) a1) (sqrt 2)) a1) (/ (* (cos th) a1) (sqrt 2)) (* (cos th) a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) (+ (* -1/2 (* th th)) 1) -1/2 (* th th) 1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* a2 a2) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (+ (* a2 (/ a2 (* a1 a1))) 1) (/ a2 (* a1 a1)) (/ (cos th) (sqrt 2)))
5.0ms
th
@inf
((+ (* (cos th) (* a2 (/ a2 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) (cos th) th (* a2 (/ a2 (sqrt 2))) a2 (/ a2 (sqrt 2)) (sqrt 2) 2 (* (/ (* (cos th) a1) (sqrt 2)) a1) (/ (* (cos th) a1) (sqrt 2)) (* (cos th) a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) (+ (* -1/2 (* th th)) 1) -1/2 (* th th) 1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* a2 a2) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (+ (* a2 (/ a2 (* a1 a1))) 1) (/ a2 (* a1 a1)) (/ (cos th) (sqrt 2)))
4.0ms
a1
@inf
((+ (* (cos th) (* a2 (/ a2 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) (cos th) th (* a2 (/ a2 (sqrt 2))) a2 (/ a2 (sqrt 2)) (sqrt 2) 2 (* (/ (* (cos th) a1) (sqrt 2)) a1) (/ (* (cos th) a1) (sqrt 2)) (* (cos th) a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) (+ (* -1/2 (* th th)) 1) -1/2 (* th th) 1 (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* a2 a2) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (+ (* a2 (/ a2 (* a1 a1))) 1) (/ a2 (* a1 a1)) (/ (cos th) (sqrt 2)))

rewrite204.0ms (4.3%)

Memory
35.4MiB live, 354.9MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03862890
04422694
124202606
098792538
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
118 → 476
Calls
Call 1
Inputs
(fma.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1))
(cos.f64 th)
th
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
a2
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1)
(/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) a1)
a1
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a2 a2 (*.f64 a1 a1))
(*.f64 a1 a1)
(+.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 th th)
#s(literal 1 binary64)
(*.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))
(*.f64 a2 a2)
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))
(fma.f64 a1 a1 (*.f64 a2 a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
(*.f64 (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))
(*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
(/.f64 a2 (*.f64 a1 a1))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (cos th) (* a2 (/ a2 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (+ (* (cos th) (* a2 (/ a2 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (* (/ (* (cos th) a1) (sqrt 2)) a1) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (/ (* (cos th) a1) (sqrt 2)) #s(hole binary64 (/ (* a1 (cos th)) (sqrt 2))))
#s(approx (* (cos th) a1) #s(hole binary64 (* a1 (cos th))))
#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 (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (cos th))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (pow a1 2))))
#s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) #s(hole binary64 (/ (pow a2 2) (pow a1 2))))
#s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))))
#s(approx (/ a2 (* a1 a1)) #s(hole binary64 (/ a2 (pow a1 2))))
#s(approx (+ (* (cos th) (* a2 (/ a2 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (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) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (cos th))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2))))))
#s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) #s(hole binary64 1))
#s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) #s(hole binary64 (+ 1 (/ (pow a2 2) (pow a1 2)))))
#s(approx a2 #s(hole binary64 a2))
#s(approx (/ a2 (sqrt 2)) #s(hole binary64 (/ a2 (sqrt 2))))
#s(approx (+ (* (cos th) (* a2 (/ a2 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (* (pow a1 2) (sqrt 2))) (/ (cos th) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))))
#s(approx (+ (* (cos th) (* a2 (/ a2 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) #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) (* a2 (/ a2 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) #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) (* a2 (/ a2 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) #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) #s(hole binary64 (+ 1 (* -1/2 (pow th 2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))))
#s(approx (cos th) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))))
#s(approx th #s(hole binary64 th))
#s(approx (* (/ (* (cos th) a1) (sqrt 2)) a1) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))))
#s(approx (* (/ (* (cos th) a1) (sqrt 2)) 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) a1) (sqrt 2)) 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) a1) (sqrt 2)) #s(hole binary64 (/ a1 (sqrt 2))))
#s(approx (/ (* (cos th) a1) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (* a1 (pow th 2)) (sqrt 2))) (/ a1 (sqrt 2)))))
#s(approx (/ (* (cos th) a1) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ a1 (sqrt 2))) (* 1/24 (/ (* a1 (pow th 2)) (sqrt 2))))) (/ a1 (sqrt 2)))))
#s(approx (/ (* (cos th) a1) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ a1 (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* a1 (pow th 2)) (sqrt 2))) (* 1/24 (/ a1 (sqrt 2))))))) (/ a1 (sqrt 2)))))
#s(approx (* (cos th) a1) #s(hole binary64 (+ a1 (* -1/2 (* a1 (pow th 2))))))
#s(approx (* (cos th) a1) #s(hole binary64 (+ a1 (* (pow th 2) (+ (* -1/2 a1) (* 1/24 (* a1 (pow th 2))))))))
#s(approx (* (cos th) a1) #s(hole binary64 (+ a1 (* (pow th 2) (+ (* -1/2 a1) (* (pow th 2) (+ (* -1/720 (* a1 (pow th 2))) (* 1/24 a1))))))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))))
#s(approx (* th th) #s(hole binary64 (pow th 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) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #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) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #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) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* 1/24 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (+ (pow a1 2) (pow a2 2))))))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))))
#s(approx (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))))))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2)))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (+ 1 (/ (pow a2 2) (pow a1 2))) (sqrt 2))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ 1 (/ (pow a2 2) (pow a1 2))) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))))) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ 1 (/ (pow a2 2) (pow a1 2))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))) (* 1/24 (/ (+ 1 (/ (pow a2 2) (pow a1 2))) (sqrt 2))))))) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (+ (* -1/2 (* th th)) 1) #s(hole binary64 (* -1/2 (pow th 2))))
#s(approx (+ (* -1/2 (* th th)) 1) #s(hole binary64 (* (pow th 2) (- (/ 1 (pow th 2)) 1/2))))
#s(approx (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) #s(hole binary64 (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (cos th) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (/ (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))))
Outputs
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) a1) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) a1) (*.f64 (neg.f64 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) a1) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) a1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 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)))) (neg.f64 (-.f64 (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 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 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 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)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 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 (cos.f64 th) a2) (/.f64 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 (cos.f64 th) a2) (/.f64 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 (cos.f64 th) a2) (/.f64 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 (cos.f64 th) a2) (/.f64 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 (cos.f64 th) a2) (/.f64 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 (cos.f64 th) a2) (/.f64 a2 (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) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th) (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1 (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #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) a1) a1) (sqrt.f64 #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 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) a1))
(+.f64 (/.f64 (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 (cos.f64 th) a2) (/.f64 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 (cos.f64 th) a2) (/.f64 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) a1) a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 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 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (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) 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 (cos.f64 th) a2) (/.f64 a2 (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 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 a2 a2))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
a2
(/.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(*.f64 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1)
(*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 th) a1))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) a1)
(*.f64 a1 (cos.f64 th))
a1
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (*.f64 a2 a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (*.f64 a1 a1))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 a2 a2)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 a1 a1)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.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 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) #s(literal 2 binary64)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) #s(literal 2 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) #s(literal 2 binary64)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) #s(literal 2 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) (+.f64 (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2) (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2) (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2)))))
(/.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (neg.f64 (*.f64 a1 a1)))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 a1 a1))
(fma.f64 (/.f64 (fabs.f64 a2) (fabs.f64 a1)) (/.f64 (fabs.f64 a2) (fabs.f64 a1)) #s(literal 1 binary64))
(fma.f64 (/.f64 (fabs.f64 a2) (neg.f64 a1)) (/.f64 (fabs.f64 a2) (neg.f64 a1)) #s(literal 1 binary64))
(fma.f64 (/.f64 (fabs.f64 a2) a1) (/.f64 (fabs.f64 a2) a1) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 a2) (fabs.f64 a1)) (/.f64 (neg.f64 a2) (fabs.f64 a1)) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 a2) a1) (/.f64 (neg.f64 a2) a1) #s(literal 1 binary64))
(fma.f64 (/.f64 a2 (fabs.f64 a1)) (/.f64 a2 (fabs.f64 a1)) #s(literal 1 binary64))
(fma.f64 (/.f64 a2 (neg.f64 a1)) (/.f64 a2 (neg.f64 a1)) #s(literal 1 binary64))
(fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64))
(fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64))
(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2))) (/.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2))))
(-.f64 (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2) (/.f64 (*.f64 (neg.f64 a1) a1) (*.f64 a1 a1)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a2) a2) (*.f64 a1 a1)))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2) (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2) (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2))))) (/.f64 (pow.f64 (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2))))))
(+.f64 (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2))
(/.f64 (neg.f64 (/.f64 a2 a1)) (neg.f64 a1))
(/.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 (*.f64 a1 a1))))
(/.f64 (/.f64 a2 a1) a1)
(/.f64 (neg.f64 a2) (neg.f64 (*.f64 a1 a1)))
(/.f64 a2 (*.f64 a1 a1))
(/.f64 (neg.f64 (neg.f64 (cos.f64 th))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (cos th) (* a2 (/ a2 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (cos th) (* a2 (/ a2 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (* (/ (* (cos th) a1) (sqrt 2)) a1) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
#s(approx (/ (* (cos th) a1) (sqrt 2)) (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (cos th) a1) (*.f64 (cos.f64 th) a1))
#s(approx a1 a1)
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
#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 (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a2 a2) (cos.f64 th)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 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 a1 a1)))
#s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2))
#s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)))
#s(approx (/ a2 (* a1 a1)) (/.f64 a2 (*.f64 a1 a1)))
#s(approx (+ (* (cos th) (* a2 (/ a2 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) (*.f64 (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (cos.f64 th)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (*.f64 a1 a1)) (cos.f64 th)) (*.f64 a1 a1)))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) #s(literal 1 binary64))
#s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)))
#s(approx a2 a2)
#s(approx (/ a2 (sqrt 2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (cos th) (* a2 (/ a2 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) (*.f64 (/.f64 (fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 a2 a2)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (*.f64 a2 a2)) (cos.f64 th)) (*.f64 a2 a2)))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (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 a2 a2)))
#s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 a1 a1)) (*.f64 a2 a2) #s(literal 1 binary64)))
#s(approx (+ (* (cos th) (* a2 (/ a2 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) (fma.f64 (/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/2 binary64)) (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 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) (fma.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (cos th) (* a2 (/ a2 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) (fma.f64 (fma.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))) (*.f64 th th))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx th th)
#s(approx (* (/ (* (cos th) a1) (sqrt 2)) a1) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a1 th) (*.f64 a1 th)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (* (cos th) a1) (sqrt 2)) a1) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a1 th) (*.f64 a1 th)) (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (/ (* (cos th) a1) (sqrt 2)) a1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 a1 th) (*.f64 a1 th)) (*.f64 #s(literal 1/24 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (cos th) a1) (sqrt 2)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* (cos th) a1) (sqrt 2)) (/.f64 (fma.f64 (*.f64 (*.f64 th th) a1) #s(literal -1/2 binary64) a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* (cos th) a1) (sqrt 2)) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 th th) a1) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (cos th) a1) (sqrt 2)) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 th th) a1) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 th th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (cos th) a1) (fma.f64 (*.f64 (*.f64 th th) a1) #s(literal -1/2 binary64) a1))
#s(approx (* (cos th) a1) (fma.f64 (fma.f64 (*.f64 (*.f64 th th) a1) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) a1)) (*.f64 th th) a1))
#s(approx (* (cos th) a1) (fma.f64 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 (*.f64 th th) a1) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) a1)) (*.f64 #s(literal -1/2 binary64) a1)) (*.f64 th th) a1))
#s(approx (/ (cos th) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (cos th) (sqrt 2)) (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (cos th) (sqrt 2)) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (cos th) (sqrt 2)) (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* th th) (*.f64 th th))
#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 (sqrt.f64 #s(literal 2 binary64))) a2)))
#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 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 (/.f64 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 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 (fma.f64 (*.f64 (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/24 binary64) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/2 binary64)) (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) (+ (* a1 a1) (* a2 a2))) (fma.f64 (*.f64 (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (fma.f64 (*.f64 (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/24 binary64) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/2 binary64))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 th th) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1/2 binary64))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a1 th) (*.f64 a1 th)) (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 a1 th) (*.f64 a1 th)) (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (*.f64 (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (*.f64 a1 a1)) (*.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 (*.f64 a1 th) (*.f64 a1 th)) (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 th th) (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64))) (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 th th) (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 th th) (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64))) (*.f64 #s(literal 1/24 binary64) (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (*.f64 (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 th th) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (cos th) (cos.f64 th))
#s(approx (+ (* -1/2 (* th th)) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64)))
#s(approx (+ (* -1/2 (* th th)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)))
#s(approx (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (*.f64 (*.f64 (*.f64 (cos.f64 th) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) a1) a1))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (*.f64 (cos.f64 th) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))

eval125.0ms (2.6%)

Memory
-30.2MiB live, 134.0MiB allocated; 134ms collecting garbage
Compiler

Compiled 7 792 to 2 144 computations (72.5% saved)

prune40.0ms (0.8%)

Memory
12.2MiB live, 108.4MiB allocated; 15ms collecting garbage
Pruning

28 alts after pruning (26 fresh and 2 done)

PrunedKeptTotal
New48823511
Fresh7310
Picked325
Done000
Total49828526
Accuracy
100.0%
Counts
526 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.9%
(fma.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a2) a2 (*.f64 (*.f64 a1 a1) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
58.5%
(fma.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a1) a1 (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
99.5%
(fma.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) a1))
99.5%
(/.f64 (fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) (cos.f64 th)))) #s(literal 2 binary64))
✓99.6%
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
99.4%
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
59.2%
(/.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))) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
29.3%
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (*.f64 (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
98.4%
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a2 a2) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
▶14.8%
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
99.5%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
58.5%
(*.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)))
▶99.7%
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
62.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
61.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
✓62.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
62.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
▶15.6%
#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))))
36.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
61.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
98.4%
#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))
48.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
36.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
14.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
12.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
▶62.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
▶61.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
98.3%
#s(approx (+ (* (cos th) (* a2 (/ a2 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
Compiler

Compiled 1 193 to 996 computations (16.5% saved)

series66.0ms (1.4%)

Memory
-8.6MiB live, 127.4MiB allocated; 16ms collecting garbage
Counts
32 → 66
Calls
Call 1
Inputs
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(cos.f64 th)
th
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a1 a1 (*.f64 a2 a2))
a1
(*.f64 a2 a2)
a2
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
(/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))
(/.f64 a1 a2)
#s(literal 1 binary64)
#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 (*.f64 a1 a1) (*.f64 a1 a1))
(*.f64 a1 a1)
(-.f64 (*.f64 a2 a2) (*.f64 a1 a1))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (cos.f64 th)))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
Outputs
#s(approx (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx a1 #s(hole binary64 a1))
#s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) #s(hole binary64 (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 (+ 1 (/ (pow a1 2) (pow a2 2)))))
#s(approx (/ a1 a2) #s(hole binary64 (/ a1 a2)))
#s(approx (- (* (* a2 a2) (* 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 (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx (- (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (* -1 (pow a1 2)) (pow a2 2))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (cos th))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))
#s(approx (* (* a1 a1) (cos th)) #s(hole binary64 (* (pow a1 2) (cos th))))
#s(approx (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #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)) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
#s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 (/ (pow a1 2) (pow a2 2))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))))
#s(approx (- (* (* a2 a2) (* 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 (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))))
#s(approx a2 #s(hole binary64 a2))
#s(approx (/ a2 (sqrt 2)) #s(hole binary64 (/ a2 (sqrt 2))))
#s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) #s(hole binary64 (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (pow a2 2))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (pow a2 2))))
#s(approx (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) #s(hole binary64 (- (pow a2 4) (pow a1 4))))
#s(approx (- (* a2 a2) (* a1 a1)) #s(hole binary64 (- (pow a2 2) (pow a1 2))))
#s(approx (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #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)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (- (* (* 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 (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))))
#s(approx (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))
#s(approx (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #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) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #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) #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 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) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* 1/24 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (+ (pow a1 2) (pow a2 2))))))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (* a1 a1) (cos th)) #s(hole binary64 (+ (* -1/2 (* (pow a1 2) (pow th 2))) (pow a1 2))))
#s(approx (* (* a1 a1) (cos th)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* 1/24 (* (pow a1 2) (pow th 2))))) (pow a1 2))))
#s(approx (* (* a1 a1) (cos th)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2)))))) (pow a1 2))))
#s(approx (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (cos th) (+ (pow a1 2) (pow a2 2)))))
Calls

9 calls:

TimeVariablePointExpression
19.0ms
a2
@0
((* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (cos th) th (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) a1 (* a2 a2) a2 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ a2 (sqrt 2)) a2) (/ a2 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) 1 (+ (* (/ (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)) (* (* a1 a1) (* a1 a1)) (* a1 a1) (- (* a2 a2) (* a1 a1)) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (* a1 a1) (cos th)))
11.0ms
a1
@inf
((* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (cos th) th (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) a1 (* a2 a2) a2 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ a2 (sqrt 2)) a2) (/ a2 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) 1 (+ (* (/ (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)) (* (* a1 a1) (* a1 a1)) (* a1 a1) (- (* a2 a2) (* a1 a1)) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (* a1 a1) (cos th)))
8.0ms
a1
@0
((* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (cos th) th (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) a1 (* a2 a2) a2 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ a2 (sqrt 2)) a2) (/ a2 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) 1 (+ (* (/ (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)) (* (* a1 a1) (* a1 a1)) (* a1 a1) (- (* a2 a2) (* a1 a1)) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (* a1 a1) (cos th)))
7.0ms
a1
@-inf
((* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (cos th) th (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) a1 (* a2 a2) a2 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ a2 (sqrt 2)) a2) (/ a2 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) 1 (+ (* (/ (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)) (* (* a1 a1) (* a1 a1)) (* a1 a1) (- (* a2 a2) (* a1 a1)) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (* a1 a1) (cos th)))
5.0ms
th
@inf
((* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) (cos th) th (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* a1 a1) (* a2 a2)) a1 (* a2 a2) a2 (sqrt 2) 2 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ a2 (sqrt 2)) a2) (/ a2 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (* a2 a2)) (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) 1 (+ (* (/ (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)) (* (* a1 a1) (* a1 a1)) (* a1 a1) (- (* a2 a2) (* a1 a1)) (/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))) (* (* a1 a1) (cos th)))

rewrite818.0ms (17.1%)

Memory
-70.0MiB live, 257.4MiB allocated; 1.3s collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02822071
03281747
117251723
089271688
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
98 → 501
Calls
Call 1
Inputs
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(cos.f64 th)
th
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a1 a1 (*.f64 a2 a2))
a1
(*.f64 a2 a2)
a2
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
(/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))
(/.f64 a1 a2)
#s(literal 1 binary64)
#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 (*.f64 a1 a1) (*.f64 a1 a1))
(*.f64 a1 a1)
(-.f64 (*.f64 a2 a2) (*.f64 a1 a1))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (cos.f64 th)))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
#s(approx (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx a1 #s(hole binary64 a1))
#s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) #s(hole binary64 (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 (+ 1 (/ (pow a1 2) (pow a2 2)))))
#s(approx (/ a1 a2) #s(hole binary64 (/ a1 a2)))
#s(approx (- (* (* a2 a2) (* 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 (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx (- (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (* -1 (pow a1 2)) (pow a2 2))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (cos th))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))
#s(approx (* (* a1 a1) (cos th)) #s(hole binary64 (* (pow a1 2) (cos th))))
#s(approx (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #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)) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
#s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 (/ (pow a1 2) (pow a2 2))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))))
#s(approx (- (* (* a2 a2) (* 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 (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))))
#s(approx a2 #s(hole binary64 a2))
#s(approx (/ a2 (sqrt 2)) #s(hole binary64 (/ a2 (sqrt 2))))
#s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) #s(hole binary64 (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (pow a2 2))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (pow a2 2))))
#s(approx (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) #s(hole binary64 (- (pow a2 4) (pow a1 4))))
#s(approx (- (* a2 a2) (* a1 a1)) #s(hole binary64 (- (pow a2 2) (pow a1 2))))
#s(approx (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #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)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* a1 a1) (* a2 a2)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (- (* (* 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 (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))))
#s(approx (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))
#s(approx (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #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) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #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) #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 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) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* 1/24 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (+ (pow a1 2) (pow a2 2))))))) (+ (pow a1 2) (pow a2 2)))))
#s(approx (* (* a1 a1) (cos th)) #s(hole binary64 (+ (* -1/2 (* (pow a1 2) (pow th 2))) (pow a1 2))))
#s(approx (* (* a1 a1) (cos th)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* 1/24 (* (pow a1 2) (pow th 2))))) (pow a1 2))))
#s(approx (* (* a1 a1) (cos th)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2)))))) (pow a1 2))))
#s(approx (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))) #s(hole binary64 (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(hole binary64 (* (cos th) (+ (pow a1 2) (pow a2 2)))))
Outputs
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.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)))))
(/.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 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)) (*.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 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))))
(/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th))) (neg.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th))) (neg.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.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 a2 a2) (cos.f64 th))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (cos.f64 th)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th))) (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 a2 a2) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (cos.f64 th)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) (cos.f64 th)))) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (-.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1) (*.f64 (*.f64 (*.f64 a2 a2) a2) a2))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (fma.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 a1 a1) a1)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 a2 a2) a2) a2 (-.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (fma.f64 (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 a1 a1) a1) a1 (-.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (neg.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1) (*.f64 (*.f64 (*.f64 a2 a2) a2) a2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 a1 a1) a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 a2 a2) a2) a2 (-.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 a1 a1) a1) a1 (-.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(/.f64 (*.f64 (cos.f64 th) (neg.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(/.f64 (*.f64 (cos.f64 th) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (*.f64 a2 a2) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.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) (sqrt.f64 #s(literal 2 binary64))) a2) a2) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (*.f64 a2 a2) (cos.f64 th))) #s(literal 2 binary64))))))
(/.f64 (neg.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 a2 a2) (cos.f64 th))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (*.f64 a2 a2) (cos.f64 th))) (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) (sqrt.f64 #s(literal 2 binary64))) a2) a2) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (*.f64 a2 a2) (cos.f64 th))) #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 a2 a2) (cos.f64 th)))) #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 (*.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))) a2) a2 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (/.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) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (*.f64 a2 a2) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (*.f64 a2 a2) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1) (/.f64 (*.f64 (neg.f64 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(-.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 (pow.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1) #s(literal 3 binary64)) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (*.f64 a2 a2) (cos.f64 th))) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2) #s(literal 3 binary64)) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (*.f64 a2 a2) (cos.f64 th))) #s(literal 2 binary64))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a2 a2) (cos.f64 th))) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(+.f64 (*.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))
(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 (/.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))))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) #s(literal 2 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1) #s(literal 2 binary64)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (+.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (*.f64 a2 a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (*.f64 a1 a1))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 a2 a2)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 a1 a1)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.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 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1) #s(literal 2 binary64)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) #s(literal 2 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a2 a2 (*.f64 a1 a1)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1) #s(literal 2 binary64)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) #s(literal 2 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (neg.f64 (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 a2 a2 (*.f64 a1 a1))) (neg.f64 (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))))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (/.f64 (*.f64 (neg.f64 a1) a1) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1) #s(literal 2 binary64)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 2 binary64))))) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) #s(literal 2 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.f64 (*.f64 a1 a1)) (*.f64 a1 a1)) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(+.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (+.f64 a2 a1)) (/.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (-.f64 a2 a1)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 a1 a1) a1)) (pow.f64 (*.f64 (neg.f64 a2) a2) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a1 a1) a1) a1 (fma.f64 (*.f64 (neg.f64 a2) a2) (*.f64 (neg.f64 a2) a2) (*.f64 (*.f64 a1 a1) (*.f64 (neg.f64 a2) a2)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2)) (pow.f64 (*.f64 (neg.f64 a1) a1) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a2 a2) a2) a2 (fma.f64 (*.f64 (neg.f64 a1) a1) (*.f64 (neg.f64 a1) a1) (*.f64 (*.f64 a2 a2) (*.f64 (neg.f64 a1) a1)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (*.f64 (*.f64 (*.f64 a1 a1) a1) a1))) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1) (*.f64 (*.f64 (*.f64 a2 a2) a2) a2))) (neg.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 a1 a1) a1)))) (neg.f64 (fma.f64 (*.f64 (*.f64 a2 a2) a2) a2 (-.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2)))) (neg.f64 (fma.f64 (*.f64 (*.f64 a1 a1) a1) a1 (-.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) (neg.f64 (neg.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1) (*.f64 (*.f64 (*.f64 a2 a2) a2) a2)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (fma.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 a1 a1) a1))) (fma.f64 (*.f64 (*.f64 a2 a2) a2) a2 (-.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (fma.f64 (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2))) (fma.f64 (*.f64 (*.f64 a1 a1) a1) a1 (-.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (neg.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))
(fma.f64 (/.f64 (*.f64 (*.f64 a2 a2) a2) (+.f64 a2 a1)) (/.f64 a2 (-.f64 a2 a1)) (/.f64 (*.f64 (neg.f64 (*.f64 a1 a1)) (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(fma.f64 (/.f64 (neg.f64 (*.f64 a2 a2)) (+.f64 a2 a1)) (/.f64 (neg.f64 (*.f64 a2 a2)) (-.f64 a2 a1)) (/.f64 (*.f64 (neg.f64 (*.f64 a1 a1)) (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(fma.f64 (/.f64 (*.f64 a2 a2) (+.f64 a2 a1)) (/.f64 (*.f64 a2 a2) (-.f64 a2 a1)) (/.f64 (*.f64 (neg.f64 (*.f64 a1 a1)) (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(fma.f64 (/.f64 a2 (+.f64 a2 a1)) (/.f64 (*.f64 (*.f64 a2 a2) a2) (-.f64 a2 a1)) (/.f64 (*.f64 (neg.f64 (*.f64 a1 a1)) (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 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 (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 a2)) (fabs.f64 (fabs.f64 a2)) (*.f64 a1 a1))
(fma.f64 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a1)) (*.f64 a2 a2))
(fma.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)) (*.f64 a1 a1))
(fma.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)) (*.f64 a2 a2))
(fma.f64 (fabs.f64 a2) (fabs.f64 a2) (*.f64 a1 a1))
(fma.f64 (fabs.f64 a1) (fabs.f64 a1) (*.f64 a2 a2))
(fma.f64 (neg.f64 a2) (neg.f64 a2) (*.f64 a1 a1))
(fma.f64 (neg.f64 a1) (neg.f64 a1) (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 a1 a1 (*.f64 a2 a2))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(-.f64 (*.f64 a1 a1) (*.f64 (neg.f64 a2) a2))
(-.f64 (*.f64 a2 a2) (*.f64 (neg.f64 a1) a1))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2)) (fma.f64 (*.f64 (*.f64 a2 a2) a2) a2 (-.f64 (*.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 (-.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 a1 a1) a1)) (fma.f64 (*.f64 (*.f64 a1 a1) a1) a1 (-.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2))))) (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2)) (fma.f64 (*.f64 (*.f64 a1 a1) a1) a1 (-.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 (*.f64 (neg.f64 (*.f64 a1 a1)) (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(+.f64 (*.f64 a2 a2) (*.f64 a1 a1))
a1
(*.f64 (neg.f64 (fabs.f64 a2)) (neg.f64 (fabs.f64 a2)))
(*.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.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 (fabs.f64 a2) (fabs.f64 a2))
(*.f64 (neg.f64 a2) (neg.f64 a2))
(*.f64 a2 a2)
(pow.f64 (exp.f64 (log.f64 a2)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a2) #s(literal 2 binary64))
(pow.f64 (neg.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))))
a2
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 a2 a2))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2)
(*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
(*.f64 (*.f64 a2 a2) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a2 a2) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a2 a2) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a2 a2) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 a2) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 a2 a2) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 a2 a2) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (*.f64 (*.f64 a2 a2) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 a2) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)) (*.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) (*.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 a2 a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2) (*.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
(fma.f64 (*.f64 a2 a2) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (/.f64 (*.f64 (*.f64 a2 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 a2 a2) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 a2 a2) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 a2) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) (*.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (/.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 a1 a1)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 (fabs.f64 a1) (*.f64 a2 a2)) (/.f64 (fabs.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (fabs.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fabs.f64 a1) (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (neg.f64 a1) (*.f64 a2 a2)) (/.f64 (neg.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (neg.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (neg.f64 a1) (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a1 (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 a1 (*.f64 a2 a2)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal 2 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (/.f64 a1 a2) a1) (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) a2)) (*.f64 (*.f64 a2 a2) a2))
(/.f64 (fma.f64 (*.f64 a1 (/.f64 a1 a2)) (*.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 (/.f64 a1 a2) a1) #s(literal 2 binary64) (*.f64 a2 #s(literal 2 binary64))) (*.f64 a2 #s(literal 2 binary64)))
(/.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 (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)))
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(*.f64 (+.f64 a2 a1) (-.f64 a2 a1))
(/.f64 (fma.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2) (pow.f64 (*.f64 (neg.f64 a1) a1) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a2 a2) a2) a2 (-.f64 (*.f64 (*.f64 (neg.f64 a1) a1) (*.f64 (neg.f64 a1) a1)) (*.f64 (*.f64 a2 a2) (*.f64 (neg.f64 a1) a1)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 a2 a2) a2) (*.f64 (*.f64 a2 a2) a2)) (*.f64 (*.f64 (*.f64 a1 a1) a1) (*.f64 (*.f64 a1 a1) a1)))) (neg.f64 (fma.f64 (*.f64 (*.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) (*.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 (fabs.f64 a2)) (neg.f64 (fabs.f64 a2)) (*.f64 (neg.f64 a1) a1))
(fma.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.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 (fabs.f64 a2) (fabs.f64 a2) (*.f64 (neg.f64 a1) a1))
(fma.f64 (neg.f64 a2) (neg.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 (*.f64 (*.f64 (*.f64 a2 a2) a2) a2) (fma.f64 a2 a2 (*.f64 a1 a1))) (/.f64 (*.f64 (neg.f64 (*.f64 a1 a1)) (*.f64 a1 a1)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+.f64 (*.f64 a2 a2) (*.f64 (neg.f64 a1) a1))
(/.f64 (neg.f64 (neg.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (cos.f64 th))))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (cos.f64 th)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (cos.f64 th)))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 a1 a1))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2))
#s(approx (+ (* a1 a1) (* a2 a2)) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx a1 a1)
#s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)))
#s(approx (/ a1 a2) (/.f64 a1 a2))
#s(approx (- (* (* a2 a2) (* 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 (* a1 a1) (*.f64 a1 a1))
#s(approx (- (* a2 a2) (* a1 a1)) (fma.f64 a2 a2 (neg.f64 (*.f64 a1 a1))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a2 a2) (cos.f64 th)))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
#s(approx (* (* a1 a1) (cos th)) (*.f64 (*.f64 a1 a1) (cos.f64 th)))
#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 a2 a2) (/.f64 (cos.f64 th) (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 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 a1 a1) (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)))))
#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 (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (*.f64 a1 a1)) (cos.f64 th)) (*.f64 a1 a1)))
#s(approx a2 a2)
#s(approx (/ a2 (sqrt 2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (/.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)))
#s(approx (- (* (* a2 a2) (* 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) (* a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 a2 a2)))
#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 (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (*.f64 a2 a2)) (cos.f64 th)) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 #s(literal -1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 th th)) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 #s(literal 1/24 binary64) (fma.f64 a2 a2 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (cos th) (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)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* 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 (*.f64 #s(literal 1/24 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* 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 (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 #s(literal -1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1)))) (*.f64 th th) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 th th)) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 #s(literal 1/24 binary64) (fma.f64 a2 a2 (*.f64 a1 a1)))) (*.f64 th th) (*.f64 #s(literal -1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1)))) (*.f64 th th) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (* (* a1 a1) (cos th)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1)) (*.f64 th th) (*.f64 a1 a1)))
#s(approx (* (* a1 a1) (cos th)) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a1 a1)) (*.f64 th th) (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1))) (*.f64 a1 a1)))
#s(approx (* (* a1 a1) (cos th)) (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 #s(literal -1/2 binary64) (*.f64 a1 a1))) (*.f64 th th) (*.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))) (fma.f64 a2 a2 (*.f64 a1 a1))))
#s(approx (cos th) (cos.f64 th))
#s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))

eval54.0ms (1.1%)

Memory
-35.6MiB live, 108.4MiB allocated; 18ms collecting garbage
Compiler

Compiled 6 479 to 2 298 computations (64.5% saved)

prune53.0ms (1.1%)

Memory
4.7MiB live, 100.2MiB allocated; 41ms collecting garbage
Pruning

44 alts after pruning (39 fresh and 5 done)

PrunedKeptTotal
New45622478
Fresh41721
Picked235
Done022
Total46244506
Accuracy
100.0%
Counts
506 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.9%
(fma.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a2) a2 (*.f64 (*.f64 a1 a1) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
58.5%
(fma.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a1) a1 (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
✓99.6%
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
99.4%
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
59.2%
(/.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))) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
98.4%
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a2 a2) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
14.8%
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (cos.f64 th))) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓14.8%
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
15.8%
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
14.8%
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (sqrt.f64 #s(literal 2 binary64)))
10.7%
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(approx (* (* a1 a1) (cos th)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a1 a1)) (*.f64 th th) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
▶99.5%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
58.5%
(*.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)))
99.5%
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
98.4%
(*.f64 (cos.f64 th) (/.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
14.8%
(*.f64 (cos.f64 th) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
58.6%
(*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
62.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
61.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
✓62.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
62.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
10.4%
#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)) (neg.f64 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
15.3%
#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))))
2.5%
#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))) (neg.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
36.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
61.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
98.4%
#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))
▶98.3%
#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))
14.8%
#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))
48.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
▶36.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
14.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
▶12.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
✓62.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
59.9%
#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))) (exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))))))
21.6%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 a1 a2) a1) (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) a2)) (*.f64 (*.f64 a2 a2) a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
▶61.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64) (*.f64 a2 #s(literal 2 binary64))) (*.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
2.5%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
61.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
61.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) a2)))
✓61.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
62.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2)))
2.5%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a2 a2))))
34.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 a2 a2))))
Compiler

Compiled 2 059 to 1 699 computations (17.5% saved)

series54.0ms (1.1%)

Memory
7.8MiB live, 140.2MiB allocated; 23ms collecting garbage
Counts
33 → 84
Calls
Call 1
Inputs
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(cos.f64 th)
th
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 a2 a2 (*.f64 a1 a1))
a2
(*.f64 a1 a1)
a1
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (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))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
(*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64))
(/.f64 a2 (*.f64 a1 a1))
#s(literal 1 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64) (*.f64 a2 #s(literal 2 binary64))) (*.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64) (*.f64 a2 #s(literal 2 binary64))) (*.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64) (*.f64 a2 #s(literal 2 binary64))) (*.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
(/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64) (*.f64 a2 #s(literal 2 binary64))) (*.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #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)))
(fma.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64) (*.f64 a2 #s(literal 2 binary64)))
(*.f64 (/.f64 a1 a2) a1)
(/.f64 a1 a2)
(*.f64 a2 #s(literal 2 binary64))
(*.f64 a2 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))
(*.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)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx a1 #s(hole binary64 a1))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (* a1 a1) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (pow a1 2))))
#s(approx (/ (+ (* (/ a2 (* a1 a1)) a2) 1) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
#s(approx (/ (+ (* (/ a2 (* a1 a1)) a2) 1) (sqrt 2)) #s(hole binary64 (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (pow a1 2))))
#s(approx (+ (* (/ a2 (* a1 a1)) a2) 1) #s(hole binary64 (/ (pow a2 2) (pow a1 2))))
#s(approx (+ (* (/ a2 (* a1 a1)) a2) 1) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))))
#s(approx (/ a2 (* a1 a1)) #s(hole binary64 (/ a2 (pow a1 2))))
#s(approx (/ (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (sqrt 2)) #s(hole binary64 (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) #s(hole binary64 1))
#s(approx (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) #s(hole binary64 (+ 1 (/ (pow a1 2) (pow a2 2)))))
#s(approx (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) #s(hole binary64 (* 2 a2)))
#s(approx (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) #s(hole binary64 (+ (* 2 a2) (* 2 (/ (pow a1 2) a2)))))
#s(approx (* (/ a1 a2) a1) #s(hole binary64 (/ (pow a1 2) a2)))
#s(approx (/ a1 a2) #s(hole binary64 (/ a1 a2)))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2))))))
#s(approx (/ (+ (* (/ a2 (* a1 a1)) a2) 1) (sqrt 2)) #s(hole binary64 (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))))
#s(approx (+ (* (/ a2 (* a1 a1)) a2) 1) #s(hole binary64 (+ 1 (/ (pow a2 2) (pow a1 2)))))
#s(approx (/ (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
#s(approx (/ (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) #s(hole binary64 (/ (pow a1 2) (pow a2 2))))
#s(approx (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))))
#s(approx (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) #s(hole binary64 (* 2 (/ (pow a1 2) a2))))
#s(approx (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) #s(hole binary64 (* (pow a1 2) (+ (* 2 (/ a2 (pow a1 2))) (* 2 (/ 1 a2))))))
#s(approx a2 #s(hole binary64 a2))
#s(approx (/ (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (sqrt 2)) #s(hole binary64 (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (pow a2 2))))
#s(approx (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (pow a2 2))))
#s(approx (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) #s(hole binary64 (/ (+ (* 2 (pow a1 2)) (* 2 (pow a2 2))) a2)))
#s(approx (* (/ (cos th) (sqrt 2)) a2) #s(hole binary64 (/ (* a2 (cos th)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (* (pow a1 2) (sqrt 2))) (/ (cos th) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (/ a2 (* a1 a1)) a2) 1) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (/ a2 (* a1 a1)) a2) 1) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))))
#s(approx (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) #s(hole binary64 (* a2 (+ 2 (* 2 (/ (pow a1 2) (pow a2 2)))))))
#s(approx (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) #s(hole binary64 (* -1 (* a2 (- (* -2 (/ (pow a1 2) (pow a2 2))) 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (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 (* -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 th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))))
#s(approx (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))))))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2)))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (+ 1 (/ (pow a2 2) (pow a1 2))) (sqrt 2))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ 1 (/ (pow a2 2) (pow a1 2))) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))))) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ 1 (/ (pow a2 2) (pow a1 2))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))) (* 1/24 (/ (+ 1 (/ (pow a2 2) (pow a1 2))) (sqrt 2))))))) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 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)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (/ (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))))
Calls

9 calls:

TimeVariablePointExpression
10.0ms
a2
@-inf
((* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (* a1 a1) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/ (+ (* (/ a2 (* a1 a1)) a2) 1) (sqrt 2)) (+ (* (/ a2 (* a1 a1)) a2) 1) (/ a2 (* a1 a1)) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (sqrt 2)) (* a2 a2)) (/ (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (sqrt 2)) (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* (/ a1 a2) a1) (/ a1 a2) (* a2 2) (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (cos th) (sqrt 2)) a2) a2) (* (/ (cos th) (sqrt 2)) a2))
9.0ms
a1
@0
((* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (* a1 a1) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/ (+ (* (/ a2 (* a1 a1)) a2) 1) (sqrt 2)) (+ (* (/ a2 (* a1 a1)) a2) 1) (/ a2 (* a1 a1)) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (sqrt 2)) (* a2 a2)) (/ (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (sqrt 2)) (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* (/ a1 a2) a1) (/ a1 a2) (* a2 2) (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (cos th) (sqrt 2)) a2) a2) (* (/ (cos th) (sqrt 2)) a2))
7.0ms
a1
@-inf
((* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (* a1 a1) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/ (+ (* (/ a2 (* a1 a1)) a2) 1) (sqrt 2)) (+ (* (/ a2 (* a1 a1)) a2) 1) (/ a2 (* a1 a1)) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (sqrt 2)) (* a2 a2)) (/ (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (sqrt 2)) (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* (/ a1 a2) a1) (/ a1 a2) (* a2 2) (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (cos th) (sqrt 2)) a2) a2) (* (/ (cos th) (sqrt 2)) a2))
6.0ms
a2
@inf
((* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (* a1 a1) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/ (+ (* (/ a2 (* a1 a1)) a2) 1) (sqrt 2)) (+ (* (/ a2 (* a1 a1)) a2) 1) (/ a2 (* a1 a1)) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (sqrt 2)) (* a2 a2)) (/ (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (sqrt 2)) (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* (/ a1 a2) a1) (/ a1 a2) (* a2 2) (* a2 a2) (+ (* (/ (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
@0
((* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) (/ (cos th) (sqrt 2)) (cos th) th (sqrt 2) 2 (+ (* a2 a2) (* a1 a1)) a2 (* a1 a1) a1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ (* a1 a1) (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/ (+ (* (/ a2 (* a1 a1)) a2) 1) (sqrt 2)) (+ (* (/ a2 (* a1 a1)) a2) 1) (/ a2 (* a1 a1)) 1 (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (sqrt 2)) (* a2 a2)) (/ (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (sqrt 2)) (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* (/ a1 a2) a1) (/ a1 a2) (* a2 2) (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (/ (cos th) (sqrt 2)) a2) a2) (* (/ (cos th) (sqrt 2)) a2))

rewrite208.0ms (4.4%)

Memory
32.9MiB live, 343.5MiB allocated; 109ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03663024
04102761
121892636
089532557
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
117 → 391
Calls
Call 1
Inputs
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(cos.f64 th)
th
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 a2 a2 (*.f64 a1 a1))
a2
(*.f64 a1 a1)
a1
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (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))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
(*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64))
(/.f64 a2 (*.f64 a1 a1))
#s(literal 1 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64) (*.f64 a2 #s(literal 2 binary64))) (*.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64) (*.f64 a2 #s(literal 2 binary64))) (*.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64) (*.f64 a2 #s(literal 2 binary64))) (*.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
(/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64) (*.f64 a2 #s(literal 2 binary64))) (*.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #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)))
(fma.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64) (*.f64 a2 #s(literal 2 binary64)))
(*.f64 (/.f64 a1 a2) a1)
(/.f64 a1 a2)
(*.f64 a2 #s(literal 2 binary64))
(*.f64 a2 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))
(*.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)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (pow a2 2)))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (+ (pow a1 2) (pow a2 2))))
#s(approx (* a1 a1) #s(hole binary64 (pow a1 2)))
#s(approx a1 #s(hole binary64 a1))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (sqrt 2))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))
#s(approx (/ (* a1 a1) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (sqrt 2))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) (pow a1 2))))
#s(approx (/ (+ (* (/ a2 (* a1 a1)) a2) 1) (sqrt 2)) #s(hole binary64 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
#s(approx (/ (+ (* (/ a2 (* a1 a1)) a2) 1) (sqrt 2)) #s(hole binary64 (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (pow a1 2))))
#s(approx (+ (* (/ a2 (* a1 a1)) a2) 1) #s(hole binary64 (/ (pow a2 2) (pow a1 2))))
#s(approx (+ (* (/ a2 (* a1 a1)) a2) 1) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))))
#s(approx (/ a2 (* a1 a1)) #s(hole binary64 (/ a2 (pow a1 2))))
#s(approx (/ (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (sqrt 2)) #s(hole binary64 (/ 1 (sqrt 2))))
#s(approx (/ (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (sqrt 2)) #s(hole binary64 (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))))
#s(approx (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) #s(hole binary64 1))
#s(approx (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) #s(hole binary64 (+ 1 (/ (pow a1 2) (pow a2 2)))))
#s(approx (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) #s(hole binary64 (* 2 a2)))
#s(approx (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) #s(hole binary64 (+ (* 2 a2) (* 2 (/ (pow a1 2) a2)))))
#s(approx (* (/ a1 a2) a1) #s(hole binary64 (/ (pow a1 2) a2)))
#s(approx (/ a1 a2) #s(hole binary64 (/ a1 a2)))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (/ (* (pow a1 2) (cos th)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (cos th) (sqrt 2))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2))))))
#s(approx (/ (+ (* (/ a2 (* a1 a1)) a2) 1) (sqrt 2)) #s(hole binary64 (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))))
#s(approx (+ (* (/ a2 (* a1 a1)) a2) 1) #s(hole binary64 (+ 1 (/ (pow a2 2) (pow a1 2)))))
#s(approx (/ (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (sqrt 2)) #s(hole binary64 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
#s(approx (/ (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (sqrt 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) #s(hole binary64 (/ (pow a1 2) (pow a2 2))))
#s(approx (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) #s(hole binary64 (* (pow a1 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))))
#s(approx (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) #s(hole binary64 (* 2 (/ (pow a1 2) a2))))
#s(approx (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) #s(hole binary64 (* (pow a1 2) (+ (* 2 (/ a2 (pow a1 2))) (* 2 (/ 1 a2))))))
#s(approx a2 #s(hole binary64 a2))
#s(approx (/ (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (sqrt 2)) #s(hole binary64 (/ (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) (pow a2 2))))
#s(approx (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (pow a2 2))))
#s(approx (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) #s(hole binary64 (/ (+ (* 2 (pow a1 2)) (* 2 (pow a2 2))) a2)))
#s(approx (* (/ (cos th) (sqrt 2)) a2) #s(hole binary64 (/ (* a2 (cos th)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* a2 a2) (* a1 a1)) #s(hole binary64 (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (* (pow a2 2) (+ (/ (cos th) (* (pow a1 2) (sqrt 2))) (/ (cos th) (* (pow a2 2) (sqrt 2)))))))
#s(approx (/ (+ (* (/ a2 (* a1 a1)) a2) 1) (sqrt 2)) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2)))))))
#s(approx (+ (* (/ a2 (* a1 a1)) a2) 1) #s(hole binary64 (* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))))
#s(approx (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) #s(hole binary64 (* a2 (+ 2 (* 2 (/ (pow a1 2) (pow a2 2)))))))
#s(approx (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) #s(hole binary64 (* -1 (* a2 (- (* -2 (/ (pow a1 2) (pow a2 2))) 2)))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (/ (cos th) (sqrt 2)) #s(hole binary64 (+ (* -1/2 (/ (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 (* -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 th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))
#s(approx (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))))
#s(approx (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (+ (* -1/2 (/ (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2)))))
#s(approx (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))))))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2)))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (+ 1 (/ (pow a2 2) (pow a1 2))) (sqrt 2))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* -1/2 (/ (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ 1 (/ (pow a2 2) (pow a1 2))) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))))) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (+ (* (pow th 2) (+ (* -1/2 (/ (+ 1 (/ (pow a2 2) (pow a1 2))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))) (* 1/24 (/ (+ 1 (/ (pow a2 2) (pow a1 2))) (sqrt 2))))))) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 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)) (+ (* a2 a2) (* a1 a1))) #s(hole binary64 (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))
#s(approx (cos th) #s(hole binary64 (cos th)))
#s(approx (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) #s(hole binary64 (/ (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(hole binary64 (/ (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))))
Outputs
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)) #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)) (fma.f64 (*.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)) (*.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 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))))
(/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th))) (neg.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th))) (neg.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 a2 a2) (cos.f64 th) (*.f64 (*.f64 a1 a1) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/.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 a2 a2) (cos.f64 th))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (cos.f64 th)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th))) (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 a2 a2) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (cos.f64 th)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) (cos.f64 th)))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (neg.f64 (cos.f64 th))) (*.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (cos.f64 th)) (*.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a2 a2))) (neg.f64 (cos.f64 th))) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a2 a2))) (cos.f64 th)) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 a2 a2) (*.f64 (*.f64 (*.f64 a1 a1) (*.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) (*.f64 a2 a2)) (*.f64 a2 a2))) (neg.f64 (cos.f64 th))) (*.f64 (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1) (*.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 a2 a2))) (cos.f64 th)) (*.f64 (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (fma.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 a2 a2) (*.f64 (*.f64 (*.f64 a1 a1) (*.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) (*.f64 a2 a2)) (*.f64 a2 a2)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 a2 a2) (*.f64 (*.f64 (*.f64 a1 a1) (*.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) (*.f64 a2 a2)) (*.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(/.f64 (neg.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) (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (*.f64 a2 a2) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.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) (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 3 binary64)))) (neg.f64 (+.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) (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (*.f64 a2 a2) (cos.f64 th))) #s(literal 2 binary64))))))
(/.f64 (neg.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 a2 a2) (cos.f64 th))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.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) (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (*.f64 a2 a2) (cos.f64 th))) (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) (sqrt.f64 #s(literal 2 binary64))) a2) #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) (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (*.f64 a2 a2) (cos.f64 th))) #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 a2 a2) (cos.f64 th)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (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) (sqrt.f64 #s(literal 2 binary64))) a2))
(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) (sqrt.f64 #s(literal 2 binary64))) a2))
(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) (sqrt.f64 #s(literal 2 binary64))) a2))
(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 (pow.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (*.f64 a2 a2) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (*.f64 a2 a2) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))))
(-.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 (pow.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1) #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) (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (*.f64 a2 a2) (cos.f64 th))) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2) #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) (sqrt.f64 #s(literal 2 binary64))) a2) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (*.f64 a2 a2) (cos.f64 th))) #s(literal 2 binary64))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a2 a2) (cos.f64 th))) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1) (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2))
(+.f64 (*.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))
(/.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)))
(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 #s(literal 2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 a2 a2)) (pow.f64 (*.f64 (neg.f64 a1) a1) #s(literal 3 binary64))) (fma.f64 (*.f64 a2 a2) (*.f64 a2 a2) (fma.f64 (*.f64 (neg.f64 a1) a1) (*.f64 (neg.f64 a1) a1) (*.f64 (*.f64 a2 a2) (*.f64 (neg.f64 a1) a1)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)))) (neg.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)))) (neg.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 a2 a2) (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1)))) (neg.f64 (fma.f64 (*.f64 a2 a2) (*.f64 a2 a2) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1) (*.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 a2 a2)))) (neg.f64 (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a2 a2))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (fma.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 a2 a2) (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1))) (fma.f64 (*.f64 a2 a2) (*.f64 a2 a2) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))
(/.f64 (fma.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1) (*.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 a2 a2))) (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 (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 (neg.f64 (fabs.f64 a2)) (neg.f64 (fabs.f64 a2)) (*.f64 a1 a1))
(fma.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a2)) (*.f64 a1 a1))
(fma.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)) (*.f64 a2 a2))
(fma.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a1)) (*.f64 a2 a2))
(fma.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)) (*.f64 a1 a1))
(fma.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)) (*.f64 a2 a2))
(fma.f64 (fabs.f64 a2) (fabs.f64 a2) (*.f64 a1 a1))
(fma.f64 (fabs.f64 a1) (fabs.f64 a1) (*.f64 a2 a2))
(fma.f64 (neg.f64 a2) (neg.f64 a2) (*.f64 a1 a1))
(fma.f64 (neg.f64 a1) (neg.f64 a1) (*.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(-.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(-.f64 (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(-.f64 (*.f64 a2 a2) (*.f64 (neg.f64 a1) a1))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 a2 a2)) (fma.f64 (*.f64 a2 a2) (*.f64 a2 a2) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1)) (fma.f64 (*.f64 a2 a2) (*.f64 a2 a2) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a1 a1)) (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2))))) (/.f64 (*.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 a2 a2)) (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(+.f64 (*.f64 a2 a2) (*.f64 a1 a1))
a2
(*.f64 (fabs.f64 (fabs.f64 a1)) (fabs.f64 (fabs.f64 a1)))
(*.f64 (neg.f64 (fabs.f64 a1)) (neg.f64 (fabs.f64 a1)))
(*.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a1)))
(*.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)))
(*.f64 (fabs.f64 a1) (fabs.f64 a1))
(*.f64 (neg.f64 a1) (neg.f64 a1))
(*.f64 a1 a1)
(pow.f64 (exp.f64 (log.f64 a1)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a1) #s(literal 2 binary64))
(pow.f64 (neg.f64 a1) #s(literal 2 binary64))
(pow.f64 (*.f64 a1 a1) #s(literal 1 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(fabs.f64 (*.f64 a1 a1))
(exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64))))
a1
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 a1 a1))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 a1 a1)) (neg.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))) (*.f64 (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) a1) a1))
(*.f64 (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) a1) a1)
(*.f64 (*.f64 a1 a1) #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 a2 a2)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))))
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(*.f64 (/.f64 #s(literal 2 binary64) a2) (/.f64 (fma.f64 (/.f64 a1 a2) a1 a2) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 a2 (*.f64 (/.f64 a1 a2) a1)) a2))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 a1 a2) a1 a2) a2))
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)) (+.f64 a2 a2) (*.f64 (+.f64 a2 a2) (+.f64 a2 a2))) (*.f64 (+.f64 a2 a2) (+.f64 a2 a2)))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a1 a2) a1 a2)) a2)) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a1 a2) a1 a2)))) (neg.f64 (neg.f64 (+.f64 a2 a2))))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a1 a2) a1 a2)) a2) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a1 a2) a1 a2))) (neg.f64 (+.f64 a2 a2)))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a1 a2) a1 a2)) (+.f64 a2 a2))
(fma.f64 (/.f64 (/.f64 a1 a2) a2) (/.f64 (*.f64 a1 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 a2 a2) #s(literal 1 binary64)))
(fma.f64 (/.f64 (/.f64 a1 a2) #s(literal 2 binary64)) (/.f64 (*.f64 a1 #s(literal 2 binary64)) a2) (*.f64 (/.f64 a2 a2) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) a2) (*.f64 (/.f64 a2 a2) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (/.f64 a1 a2) a1) a2) #s(literal 1 binary64) (*.f64 (/.f64 a2 a2) #s(literal 1 binary64)))
(fma.f64 (/.f64 a2 #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) a2) (*.f64 (/.f64 (*.f64 (/.f64 a1 a2) a1) a2) #s(literal 1 binary64)))
(fma.f64 (/.f64 a2 a2) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 a1 a2) a1) a2) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) a2) (/.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)) (*.f64 (/.f64 a2 a2) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) a2) (/.f64 a2 #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 a1 a2) a1) a2) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a1 a2) a1) a2) (*.f64 (/.f64 a2 a2) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 a2 a2) (*.f64 (/.f64 (*.f64 (/.f64 a1 a2) a1) a2) #s(literal 1 binary64)))
(-.f64 (*.f64 (/.f64 a2 a2) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 a1 a2) a1)) (+.f64 a2 a2)))
(-.f64 (*.f64 (/.f64 (*.f64 (/.f64 a1 a2) a1) a2) #s(literal 1 binary64)) (/.f64 (*.f64 (neg.f64 a2) #s(literal 2 binary64)) (+.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 a2 a2) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 a1 a2) a1) a2) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 (/.f64 a1 a2) a1) a2) #s(literal 1 binary64)) (*.f64 (/.f64 a2 a2) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 a2 (*.f64 (/.f64 a1 a2) a1)))
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a1 a2) a1 a2))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 a2) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 a2) #s(literal 2 binary64)) (*.f64 (neg.f64 a2) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)) (*.f64 (neg.f64 a2) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 a2 a2) (+.f64 a2 a2)) (+.f64 a2 a2)) (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 a1 a2) a1)) #s(literal 3 binary64))) (fma.f64 (+.f64 a2 a2) (+.f64 a2 a2) (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 a1 a2) a1)) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 a1 a2) a1)) (*.f64 (+.f64 a2 a2) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 a1 a2) a1))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 a2 a2) (+.f64 a2 a2)) (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal 2 binary64))) (*.f64 a2 a2)))) (neg.f64 (-.f64 (+.f64 a2 a2) (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal 2 binary64))) (*.f64 a2 a2)) (*.f64 (+.f64 a2 a2) (+.f64 a2 a2)))) (neg.f64 (-.f64 (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)) (+.f64 a2 a2))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 a2 a2) (+.f64 a2 a2)) (+.f64 a2 a2) (pow.f64 (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 a2 a2) (+.f64 a2 a2) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal 2 binary64))) (*.f64 a2 a2)) (*.f64 (+.f64 a2 a2) (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 (*.f64 (+.f64 a2 a2) (+.f64 a2 a2)) (+.f64 a2 a2)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 a2 a2) (+.f64 a2 a2)) (*.f64 (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)) (+.f64 a2 a2))))))
(/.f64 (-.f64 (*.f64 (+.f64 a2 a2) (+.f64 a2 a2)) (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal 2 binary64))) (*.f64 a2 a2))) (-.f64 (+.f64 a2 a2) (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal 2 binary64))) (*.f64 a2 a2)) (*.f64 (+.f64 a2 a2) (+.f64 a2 a2))) (-.f64 (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)) (+.f64 a2 a2)))
(/.f64 (fma.f64 (*.f64 (+.f64 a2 a2) (+.f64 a2 a2)) (+.f64 a2 a2) (pow.f64 (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 a2 a2) (+.f64 a2 a2) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal 2 binary64))) (*.f64 a2 a2)) (*.f64 (+.f64 a2 a2) (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 (*.f64 (+.f64 a2 a2) (+.f64 a2 a2)) (+.f64 a2 a2))) (fma.f64 (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 a2 a2) (+.f64 a2 a2)) (*.f64 (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)) (+.f64 a2 a2)))))
(fma.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64) (+.f64 a2 a2))
(fma.f64 (/.f64 a1 a2) (*.f64 a1 #s(literal 2 binary64)) (+.f64 a2 a2))
(fma.f64 a2 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 a1 a2) a1) (+.f64 a2 a2))
(fma.f64 #s(literal 2 binary64) a2 (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 (+.f64 a2 a2) (+.f64 a2 a2)) (-.f64 (+.f64 a2 a2) (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal 2 binary64))) (*.f64 a2 a2)) (-.f64 (+.f64 a2 a2) (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal 2 binary64))) (*.f64 a2 a2)) (-.f64 (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)) (+.f64 a2 a2))) (/.f64 (*.f64 (+.f64 a2 a2) (+.f64 a2 a2)) (-.f64 (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)) (+.f64 a2 a2))))
(-.f64 (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)) (*.f64 (neg.f64 a2) #s(literal 2 binary64)))
(-.f64 (+.f64 a2 a2) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 a1 a2) a1)))
(+.f64 (/.f64 (*.f64 (*.f64 (+.f64 a2 a2) (+.f64 a2 a2)) (+.f64 a2 a2)) (fma.f64 (+.f64 a2 a2) (+.f64 a2 a2) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal 2 binary64))) (*.f64 a2 a2)) (*.f64 (+.f64 a2 a2) (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 a2 a2) (+.f64 a2 a2) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal 2 binary64))) (*.f64 a2 a2)) (*.f64 (+.f64 a2 a2) (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 a2 a2) (+.f64 a2 a2)) (*.f64 (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)) (+.f64 a2 a2))))) (/.f64 (*.f64 (*.f64 (+.f64 a2 a2) (+.f64 a2 a2)) (+.f64 a2 a2)) (fma.f64 (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 a2 a2) (+.f64 a2 a2)) (*.f64 (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)) (+.f64 a2 a2))))))
(+.f64 (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)) (+.f64 a2 a2))
(+.f64 (+.f64 a2 a2) (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)))
(*.f64 (/.f64 a1 a2) a1)
(*.f64 a1 (/.f64 a1 a2))
(/.f64 (neg.f64 (neg.f64 (*.f64 a1 a1))) (neg.f64 (neg.f64 a2)))
(/.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 a2))
(/.f64 (*.f64 a1 a1) a2)
(/.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a2)))
(/.f64 (neg.f64 a1) (neg.f64 a2))
(/.f64 a1 a2)
(*.f64 a2 #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) a2)
(+.f64 a2 a2)
(*.f64 (fabs.f64 (fabs.f64 a2)) (fabs.f64 (fabs.f64 a2)))
(*.f64 (neg.f64 (fabs.f64 a2)) (neg.f64 (fabs.f64 a2)))
(*.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a2)))
(*.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)))
(*.f64 (fabs.f64 a2) (fabs.f64 a2))
(*.f64 (neg.f64 a2) (neg.f64 a2))
(*.f64 a2 a2)
(pow.f64 (exp.f64 (log.f64 a2)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a2) #s(literal 2 binary64))
(pow.f64 (neg.f64 a2) #s(literal 2 binary64))
(pow.f64 (*.f64 a2 a2) #s(literal 1 binary64))
(pow.f64 a2 #s(literal 2 binary64))
(fabs.f64 (*.f64 a2 a2))
(exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2))
(*.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 (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 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2)
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 th) a2))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.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 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 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* a1 a1) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 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 a1 a1)))
#s(approx (/ (+ (* (/ a2 (* a1 a1)) a2) 1) (sqrt 2)) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (/ a2 (* a1 a1)) a2) 1) (sqrt 2)) (/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (+ (* (/ a2 (* a1 a1)) a2) 1) (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2))
#s(approx (+ (* (/ a2 (* a1 a1)) a2) 1) (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)))
#s(approx (/ a2 (* a1 a1)) (/.f64 a2 (*.f64 a1 a1)))
#s(approx (/ (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (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) 2) (* a2 2)) (* a2 2)) #s(literal 1 binary64))
#s(approx (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)))
#s(approx (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (+.f64 a2 a2))
#s(approx (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a1 a2) a1 a2)))
#s(approx (* (/ a1 a2) a1) (*.f64 (/.f64 a1 a2) a1))
#s(approx (/ a1 a2) (/.f64 a1 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))) 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 (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 (*.f64 a2 a2) a1) (/.f64 (cos.f64 th) a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (/ a2 (* a1 a1)) a2) 1) (sqrt 2)) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ a2 (* a1 a1)) a2) 1) (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)))
#s(approx (/ (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
#s(approx (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)))))
#s(approx (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (*.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64)))
#s(approx (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (*.f64 (*.f64 a1 a1) (fma.f64 (/.f64 a2 (*.f64 a1 a1)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) a2))))
#s(approx a2 a2)
#s(approx (/ (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (sqrt 2)) (/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)))
#s(approx (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) a2))
#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)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 th) a2) (*.f64 (/.f64 a1 a2) a1) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 a2 a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.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))) 1) (/ (cos th) (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 a2 a2)))
#s(approx (/ (+ (* (/ a2 (* a1 a1)) a2) 1) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ a2 (* a1 a1)) a2) 1) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 a1 a1)) (*.f64 a2 a2) #s(literal 1 binary64)))
#s(approx (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (*.f64 (fma.f64 (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) #s(literal 2 binary64) #s(literal 2 binary64)) a2))
#s(approx (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a1 a1)) (*.f64 a2 a2)) #s(literal 2 binary64)) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (cos th) (sqrt 2)) (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (cos th) (sqrt 2)) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (cos th) (sqrt 2)) (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (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)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#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 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (fma.f64 #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 (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
#s(approx (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 th th) (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)))) (*.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 th th) (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (*.f64 (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (*.f64 a1 a1)) (*.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 th th) (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 th th) (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64))) (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 th th) (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 th th) (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64))) (*.f64 #s(literal 1/24 binary64) (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (*.f64 (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 th th) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (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 2)) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) a2) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 th th) a2) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (cos th) (sqrt 2)) a2) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 th th) a2) (*.f64 #s(literal -1/2 binary64) 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 (/.f64 (fma.f64 #s(literal 1/24 binary64) a2 (*.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 th th) a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 th th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (cos th) (cos.f64 th))
#s(approx (* (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (* a1 a1)) (*.f64 (*.f64 (*.f64 (cos.f64 th) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) a1) a1))
#s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (*.f64 (cos.f64 th) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))

eval70.0ms (1.5%)

Memory
-9.6MiB live, 129.9MiB allocated; 39ms collecting garbage
Compiler

Compiled 5 937 to 2 126 computations (64.2% saved)

prune92.0ms (1.9%)

Memory
-10.0MiB live, 133.5MiB allocated; 99ms collecting garbage
Pruning

49 alts after pruning (41 fresh and 8 done)

PrunedKeptTotal
New42118439
Fresh112334
Picked235
Done055
Total43449483
Accuracy
100.0%
Counts
483 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.5%
(fma.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a1) a1 (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
✓99.6%
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
99.4%
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
98.4%
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a2 a2) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
14.8%
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (cos.f64 th))) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓14.8%
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
15.8%
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
14.8%
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (sqrt.f64 #s(literal 2 binary64)))
✓99.5%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
58.5%
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
99.5%
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
98.4%
(*.f64 (cos.f64 th) (/.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
14.8%
(*.f64 (cos.f64 th) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
62.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
✓62.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
10.4%
#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)) (neg.f64 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
15.3%
#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))))
2.5%
#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))) (neg.f64 (*.f64 (*.f64 (*.f64 a1 a1) a1) a1))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
36.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
61.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
98.4%
#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))
✓98.3%
#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))
14.8%
#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))
57.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
58.5%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.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))) a2) a2))
58.0%
#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))
48.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
43.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) a1) a1))
41.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
36.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 a1 a1)))
14.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
31.5%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(approx (/ (+ (* (/ a2 (* a1 a1)) a2) 1) (sqrt 2)) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 a1 a1)))
✓12.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
12.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
✓62.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
59.9%
#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))) (exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))))))
21.6%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 a1 a2) a1) (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) a2)) (*.f64 (*.f64 a2 a2) a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
61.6%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 #s(approx (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) a2)) (*.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
62.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) a2) (/.f64 (fma.f64 (/.f64 a1 a2) a1 a2) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
61.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a1 a2) a1 a2)) (*.f64 (+.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
2.5%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
61.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
61.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) a2)))
✓61.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
62.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2)))
62.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 a1 a2) a1 a2) a2)) (sqrt.f64 #s(literal 2 binary64))) a2) a2)))
2.5%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (/ (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a2 a2))))
12.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
40.1%
#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 2 247 to 1 473 computations (34.4% saved)

regimes259.0ms (5.4%)

Memory
44.7MiB live, 403.8MiB allocated; 89ms collecting garbage
Counts
79 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) 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 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) #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 a2 (/.f64 #s(literal 2 binary64) (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)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (/ (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(approx (/ (+ (* (/ a2 (* a1 a1)) a2) 1) (sqrt 2)) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #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)))))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(approx (* (* a1 a1) (cos th)) (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)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) a1) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #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))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (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))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
(*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 a1 a2) a1 a2) a2)) (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 (- (* (* 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 (/.f64 #s(approx (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (neg.f64 (*.f64 (*.f64 (*.f64 a1 a1) 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 (*.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))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a1 a2) a1 a2)) (*.f64 (+.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (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))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) a2) (/.f64 (fma.f64 (/.f64 a1 a2) a1 a2) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 #s(approx (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) a2)) (*.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64) (*.f64 a2 #s(literal 2 binary64))) (*.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (*.f64 (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal -1/2 binary64) (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))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 a2 a2))))
(/.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))) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))))))
(fma.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a1) a1 (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a2) a2 (*.f64 (*.f64 a1 a1) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 a1 a2) a1) (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) a2)) (*.f64 (*.f64 a2 a2) a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
(+.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (cos th) (* a2 (/ a2 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2))
(*.f64 (cos.f64 th) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (/.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.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 (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a2 a2) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (cos.f64 th))) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (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 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (*.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 #s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(/.f64 (fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) (cos.f64 th)))) #s(literal 2 binary64))
(fma.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) a1))
(+.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) (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 a2 a2)))
Outputs
(fma.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1))
Calls

8 calls:

75.0ms
(+.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)))
47.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
28.0ms
(*.f64 a2 a2)
22.0ms
a1
22.0ms
th
Results
AccuracySegmentsBranch
99.7%1(*.f64 a2 a2)
99.7%1(*.f64 a1 a1)
99.7%1(cos.f64 th)
99.7%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.7%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.7%1a1
99.7%1a2
99.7%1th
Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes159.0ms (3.3%)

Memory
-48.2MiB live, 407.2MiB allocated; 51ms collecting garbage
Counts
74 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) 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 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) #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 a2 (/.f64 #s(literal 2 binary64) (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)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (/ (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(approx (/ (+ (* (/ a2 (* a1 a1)) a2) 1) (sqrt 2)) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #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)))))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(approx (* (* a1 a1) (cos th)) (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)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) a1) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #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))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (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))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
(*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 a1 a2) a1 a2) a2)) (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 (- (* (* 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 (/.f64 #s(approx (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (neg.f64 (*.f64 (*.f64 (*.f64 a1 a1) 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 (*.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))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a1 a2) a1 a2)) (*.f64 (+.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (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))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) a2) (/.f64 (fma.f64 (/.f64 a1 a2) a1 a2) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 #s(approx (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) a2)) (*.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64) (*.f64 a2 #s(literal 2 binary64))) (*.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (*.f64 (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal -1/2 binary64) (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))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 a2 a2))))
(/.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))) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))))))
(fma.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a1) a1 (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a2) a2 (*.f64 (*.f64 a1 a1) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 a1 a2) a1) (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) a2)) (*.f64 (*.f64 a2 a2) a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
(+.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (cos th) (* a2 (/ a2 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2))
(*.f64 (cos.f64 th) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (/.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.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 (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a2 a2) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (cos.f64 th))) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (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 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (*.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 #s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1))
(fma.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2))
Outputs
(fma.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2))
Calls

8 calls:

22.0ms
(*.f64 a1 a1)
22.0ms
th
21.0ms
a1
20.0ms
a2
18.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
99.7%1(*.f64 a2 a2)
99.7%1(*.f64 a1 a1)
99.7%1(cos.f64 th)
99.7%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.7%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.7%1a1
99.7%1a2
99.7%1th
Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes176.0ms (3.7%)

Memory
-5.8MiB live, 373.6MiB allocated; 25ms collecting garbage
Counts
73 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) 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 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) #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 a2 (/.f64 #s(literal 2 binary64) (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)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (/ (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(approx (/ (+ (* (/ a2 (* a1 a1)) a2) 1) (sqrt 2)) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #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)))))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(approx (* (* a1 a1) (cos th)) (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)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) a1) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #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))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (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))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
(*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 a1 a2) a1 a2) a2)) (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 (- (* (* 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 (/.f64 #s(approx (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (neg.f64 (*.f64 (*.f64 (*.f64 a1 a1) 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 (*.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))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a1 a2) a1 a2)) (*.f64 (+.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (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))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) a2) (/.f64 (fma.f64 (/.f64 a1 a2) a1 a2) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 #s(approx (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) a2)) (*.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64) (*.f64 a2 #s(literal 2 binary64))) (*.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (*.f64 (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal -1/2 binary64) (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))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 a2 a2))))
(/.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))) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))))))
(fma.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a1) a1 (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a2) a2 (*.f64 (*.f64 a1 a1) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 a1 a2) a1) (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) a2)) (*.f64 (*.f64 a2 a2) a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
(+.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (cos th) (* a2 (/ a2 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2))
(*.f64 (cos.f64 th) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (/.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.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 (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a2 a2) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (cos.f64 th))) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (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 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 #s(approx (* (/ (cos th) (sqrt 2)) (* a1 a1)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (*.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 #s(approx (+ (* a2 (/ a2 (* a1 a1))) 1) (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1))
Outputs
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
Calls

8 calls:

20.0ms
a1
19.0ms
a2
18.0ms
th
18.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
17.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
99.7%1(*.f64 a2 a2)
99.7%1(*.f64 a1 a1)
99.7%1(cos.f64 th)
99.7%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.7%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.7%1a1
99.7%1a2
99.7%1th
Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes172.0ms (3.6%)

Memory
-41.0MiB live, 353.8MiB allocated; 68ms collecting garbage
Counts
63 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) 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 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) #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 a2 (/.f64 #s(literal 2 binary64) (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)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (/ (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(approx (/ (+ (* (/ a2 (* a1 a1)) a2) 1) (sqrt 2)) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #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)))))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(approx (* (* a1 a1) (cos th)) (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)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) a1) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #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))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (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))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
(*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 a1 a2) a1 a2) a2)) (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 (- (* (* 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 (/.f64 #s(approx (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (neg.f64 (*.f64 (*.f64 (*.f64 a1 a1) 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 (*.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))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a1 a2) a1 a2)) (*.f64 (+.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (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))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) a2) (/.f64 (fma.f64 (/.f64 a1 a2) a1 a2) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 #s(approx (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) a2)) (*.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64) (*.f64 a2 #s(literal 2 binary64))) (*.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (*.f64 (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal -1/2 binary64) (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))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 a2 a2))))
(/.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))) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))))))
(fma.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a1) a1 (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a2) a2 (*.f64 (*.f64 a1 a1) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 a1 a2) a1) (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) a2)) (*.f64 (*.f64 a2 a2) a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
(+.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (cos th) (* a2 (/ a2 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2))
(*.f64 (cos.f64 th) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (/.f64 #s(approx (+ (* a1 a1) (* a2 a2)) (*.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 (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a2 a2) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) (cos.f64 th))) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2))
Calls

8 calls:

40.0ms
th
31.0ms
(*.f64 a2 a2)
18.0ms
(+.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)))
17.0ms
a1
17.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
98.4%1(*.f64 a2 a2)
98.4%1(*.f64 a1 a1)
98.4%1(cos.f64 th)
98.4%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
98.4%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)))
98.4%1a1
98.4%1a2
98.4%1th
Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes120.0ms (2.5%)

Memory
3.6MiB live, 330.4MiB allocated; 28ms collecting garbage
Counts
55 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) 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 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) #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 a2 (/.f64 #s(literal 2 binary64) (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)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (/ (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(approx (/ (+ (* (/ a2 (* a1 a1)) a2) 1) (sqrt 2)) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #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)))))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(approx (* (* a1 a1) (cos th)) (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)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) a1) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #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))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (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))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
(*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 a1 a2) a1 a2) a2)) (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 (- (* (* 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 (/.f64 #s(approx (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (neg.f64 (*.f64 (*.f64 (*.f64 a1 a1) 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 (*.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))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a1 a2) a1 a2)) (*.f64 (+.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (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))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) a2) (/.f64 (fma.f64 (/.f64 a1 a2) a1 a2) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 #s(approx (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) a2)) (*.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64) (*.f64 a2 #s(literal 2 binary64))) (*.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (*.f64 (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal -1/2 binary64) (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))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 a2 a2))))
(/.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))) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))))))
(fma.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a1) a1 (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a2) a2 (*.f64 (*.f64 a1 a1) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 a1 a2) a1) (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) a2)) (*.f64 (*.f64 a2 a2) a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
(+.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (cos th) (* a2 (/ a2 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a1) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
Outputs
#s(approx (+ (* (cos th) (* a2 (/ a2 (sqrt 2)))) (* (/ (* (cos th) a1) (sqrt 2)) a1)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
Calls

8 calls:

17.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
17.0ms
a2
16.0ms
a1
14.0ms
th
14.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
98.3%1(*.f64 a2 a2)
98.3%1(*.f64 a1 a1)
98.3%1(cos.f64 th)
98.3%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
98.3%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)))
98.3%1a1
98.3%1a2
98.3%1th
Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes104.0ms (2.2%)

Memory
22.1MiB live, 265.7MiB allocated; 14ms collecting garbage
Counts
52 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) 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 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) #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 a2 (/.f64 #s(literal 2 binary64) (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)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (*.f64 (*.f64 a1 a1) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (/ (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (sqrt 2)) (/.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) #s(approx (/ (+ (* (/ a2 (* a1 a1)) a2) 1) (sqrt 2)) (/.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #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)))))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) #s(approx (* (* a1 a1) (cos th)) (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)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) a1) a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 (*.f64 a1 a1)) a2 #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))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) a2) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (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))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))
(*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/.f64 (exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 #s(approx (cos th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 a1 a2) a1 a2) a2)) (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 (- (* (* 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 (/.f64 #s(approx (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a1 a1))) (neg.f64 (*.f64 (*.f64 (*.f64 a1 a1) 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 (*.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))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a1 a2) a1 a2)) (*.f64 (+.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (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))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) a2) (/.f64 (fma.f64 (/.f64 a1 a2) a1 a2) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 #s(approx (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) a2)) (*.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 a1 a2) a1) #s(literal 2 binary64) (*.f64 a2 #s(literal 2 binary64))) (*.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
(/.f64 #s(approx (* (cos th) (+ (* a1 a1) (* a2 a2))) (fma.f64 (*.f64 (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal -1/2 binary64) (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))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 #s(approx (/ (+ (* (/ a1 a2) (/ a1 a2)) 1) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 a2 a2))))
(/.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))) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) #s(approx (- (* a2 a2) (* a1 a1)) (neg.f64 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a2) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (+ (* a2 (/ a2 (* a1 a1))) 1) (/ (cos th) (sqrt 2))) (/.f64 (fma.f64 (*.f64 (/.f64 a2 (*.f64 a1 a1)) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 a1 a1)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))))))
(fma.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a1) a1 (*.f64 (*.f64 a2 a2) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) a2) a2 (*.f64 (*.f64 a1 a1) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 a1 a2) a1) (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) a2)) (*.f64 (*.f64 a2 a2) a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
(+.f64 (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
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

8 calls:

14.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
14.0ms
a2
13.0ms
(*.f64 a2 a2)
12.0ms
a1
12.0ms
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Results
AccuracySegmentsBranch
74.5%2(cos.f64 th)
74.5%2(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
75.7%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)))
64.4%2th
62.1%1(*.f64 a2 a2)
62.1%1(*.f64 a1 a1)
62.1%1a1
64.8%2a2
Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes17.0ms (0.4%)

Memory
-0.5MiB live, 46.4MiB allocated; 2ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) 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 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) #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 a2 (/.f64 #s(literal 2 binary64) (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)) (sqrt.f64 #s(literal 2 binary64))))
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
Calls

6 calls:

3.0ms
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
3.0ms
th
3.0ms
a2
3.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
2.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
62.1%1(*.f64 a2 a2)
62.1%1th
62.1%1a2
62.1%1(cos.f64 th)
62.1%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
62.1%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Compiler

Compiled 27 to 33 computations (-22.2% saved)

regimes21.0ms (0.4%)

Memory
-36.0MiB live, 57.8MiB allocated; 3ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) 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 a1 a1) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (+ (* (/ a1 a2) (/ a1 a2)) 1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 #s(approx (/ (+ (* (* (/ a1 a2) a1) 2) (* a2 2)) (* a2 2)) #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 a2 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) a2)))
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
Calls

8 calls:

3.0ms
a2
3.0ms
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
2.0ms
a1
2.0ms
th
2.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
61.8%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)))
61.8%1(cos.f64 th)
61.8%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
61.8%1th
61.8%1(*.f64 a1 a1)
61.8%1a1
61.8%1(*.f64 a2 a2)
61.8%1a2
Compiler

Compiled 30 to 40 computations (-33.3% saved)

regimes8.0ms (0.2%)

Memory
24.5MiB live, 24.4MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

8 calls:

1.0ms
(cos.f64 th)
1.0ms
a2
1.0ms
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
1.0ms
a1
1.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
12.1%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
12.1%1(cos.f64 th)
12.1%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
12.1%1(*.f64 a1 a1)
12.1%1a1
12.1%1th
12.1%1(*.f64 a2 a2)
12.1%1a2
Compiler

Compiled 30 to 40 computations (-33.3% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-2.677213910380705e-172
-5.458315472806237e-194
Compiler

Compiled 19 to 18 computations (5.3% saved)

derivations377.0ms (7.9%)

Memory
-8.8MiB live, 556.9MiB allocated; 39ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 149 to 69 computations (53.7% saved)

preprocess155.0ms (3.2%)

Memory
24.8MiB live, 459.0MiB allocated; 44ms collecting garbage
Remove

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 2 773 to 2 099 computations (24.3% saved)

end0.0ms (0%)

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

Profiling

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